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Paper Citation Record · LEDGER

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints

As of 15 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 2 inbound Pith citation observations for arXiv:2509.02894.

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2509.02894 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

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measured 69 of 69 standing notices

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:26:16.607464Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-12T10:51:31.681531Z

Reference resolution

67 of 67 outbound references displayed

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External citation measurements

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Outbound references

Observation da42bb11-992b-46da-8287-0ea1f590f03f · outbound

This paper cites Constrained model predictive control: Stability and optimality.Automatica, 36(6):789–814, 2000.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Constrained model predictive control: Stability and optimality.Automatica, 36(6):789–814, 2000

Reference 1

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Observation 9f6e483f-279a-4c5c-a516-293dedda8cf8 · outbound

This paper cites Model predictive control based on linear programming — the explicit solution.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Model predictive control based on linear programming — the explicit solution

Reference 2

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Observation 5140083a-30f1-4724-aa12-8081521f1b04 · outbound

This paper cites The explicit linear quadratic regulator for constrained systems.Automatica, 38(1):3–20, 2002.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints The explicit linear quadratic regulator for constrained systems.Automatica, 38(1):3–20, 2002

Reference 3

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Observation d5c9efe3-862b-4c04-afab-808d973bfa94 · outbound

This paper cites Input convex neural networks.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Input convex neural networks

Reference 4

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Observation 21aacf22-33f9-4ed2-8375-d651d741339c · outbound

This paper cites Neural network training as an optimal control problem—An augmented Lagrangian approach.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Neural network training as an optimal control problem—An augmented Lagrangian approach

Reference 5

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Observation 2a6e8130-d6ae-4993-ab32-5df6a7d4f74b · outbound

This paper cites Recurrent neural network training with convex loss and regularization func- tions by extended Kalman filtering.IEEE Transactions on Automatic Control, 68(9):5661–5668, 2022.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Recurrent neural network training with convex loss and regularization func- tions by extended Kalman filtering.IEEE Transactions on Automatic Control, 68(9):5661–5668, 2022

Reference 6

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Observation d4944b9d-3e7f-41c5-8efe-da226a2bf481 · outbound

This paper cites Training recurrent neural networks by sequential least squares and the alternating direction method of multipliers.Automatica, 156:111183, 2023.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Training recurrent neural networks by sequential least squares and the alternating direction method of multipliers.Automatica, 156:111183, 2023

Reference 7

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Observation fa7b9041-5d6b-4368-bd2d-21eb3c6248c6 · outbound

This paper cites Adeoye and Alberto Bemporad.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Adeoye and Alberto Bemporad

Reference 8

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Observation 12cf4445-d888-4304-a7e8-322ff4794610 · outbound

This paper cites An L-BFGS-B approach for linear and nonlinear system identification under ℓ1 and group-lasso regularization.IEEE Transactions on Automatic Control, 2025.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints An L-BFGS-B approach for linear and nonlinear system identification under ℓ1 and group-lasso regularization.IEEE Transactions on Automatic Control, 2025

Reference 9

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Observation 477c4e8b-06bd-4c0a-9929-fe22221bc74b · outbound

This paper cites Pattern recognition and machine learning, volume 4.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Pattern recognition and machine learning, volume 4

Reference 10

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Observation ec403dfd-2778-4d23-b823-fd3f0bf808a9 · outbound

This paper cites Springer, 2009.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Springer, 2009

Reference 11

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Observation 13466c6f-4c91-413a-bb3f-284dc25b461b · outbound

This paper cites Global portfolio optimization.Financial Analysts Journal, 48(5):28–43, 1992.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Global portfolio optimization.Financial Analysts Journal, 48(5):28–43, 1992

Reference 12

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ba67f7d6-7222-44cc-820b-f9d1a4b0cb30 · outbound

This paper cites Optimization methods in finance.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Optimization methods in finance

Reference 13

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Observation 717b5ee7-0c51-477a-aca5-8b3b680a1147 · outbound

This paper cites Cambridge university press, 2004.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Cambridge university press, 2004

Reference 14

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Observation 8b222aea-f34c-4232-acac-35810cc0a719 · outbound

This paper cites The Design of Approximation Algorithms.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints The Design of Approximation Algorithms

Reference 15

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Observation 54c9959b-5cbb-4bc9-8872-953ee506ba67 · outbound

This paper cites Proximal point imitation learning.Advances in Neural Information Processing Systems, 35:24309–24326, 2022.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Proximal point imitation learning.Advances in Neural Information Processing Systems, 35:24309–24326, 2022

Reference 16

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Source-reported events for the cited work

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Observation 621528db-54f0-4644-beb9-1c10ededb6ac · outbound

This paper cites Online learning in episodic Markovian decision processes by relative entropy policy search.Advances in neural information processing systems, 26, 2013.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Online learning in episodic Markovian decision processes by relative entropy policy search.Advances in neural information processing systems, 26, 2013

Reference 17

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8d72ffb0-2e11-4ee8-9faa-dd89e24ac193 · outbound

This paper cites Multiplier and gradient methods.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Multiplier and gradient methods

Reference 18

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Observation 81b93db0-fc03-4847-9dc8-d69bdcf75b7e · outbound

This paper cites A method for nonlinear constraints in minimization problems.Optimization, pages 283–298, 1969.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A method for nonlinear constraints in minimization problems.Optimization, pages 283–298, 1969

Reference 19

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 46df797a-ba7e-45fb-a337-8f07d7eb6474 · outbound

This paper cites Augmented Lagrangians and applications of the proximal point algorithm in convex programming.Mathematics of Operations Research, 1(2):97–116, 1976.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Augmented Lagrangians and applications of the proximal point algorithm in convex programming.Mathematics of Operations Research, 1(2):97–116, 1976

Reference 20

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 340d9b4c-a0f4-4bf3-9878-0fd9059ce5c9 · outbound

This paper cites Monotone operators and the proximal point algorithm.SIAM Journal on Control and Optimization, 14(5):877–898, 1976.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Monotone operators and the proximal point algorithm.SIAM Journal on Control and Optimization, 14(5):877–898, 1976

Reference 21

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Observation cad62839-6328-4bf3-93df-cd4e2db9082b · outbound

This paper cites Rate of convergence analysis of decomposition methods based on the proximal method of multipliers for convex minimization.SIAM Journal on Optimization, 24(1):269–297, 2014.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Rate of convergence analysis of decomposition methods based on the proximal method of multipliers for convex minimization.SIAM Journal on Optimization, 24(1):269–297, 2014

Reference 22

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 4ef3f5aa-850e-40cb-ab90-a674f8b830e4 · outbound

This paper cites An adaptive augmented Lagrangian method for large-scale constrained optimization.Mathematical Programming, 152(1):201–245, 2015.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints An adaptive augmented Lagrangian method for large-scale constrained optimization.Mathematical Programming, 152(1):201–245, 2015

Reference 23

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raw_fallback, observed 2026-08-05T11:25:15.286704Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ba7c3148-c5a6-4132-b3b4-a7c1ef49d2b8 · outbound

This paper cites On the numerical solution of heat conduction problems in two and three space variables.Transactions of the American Mathematical Society, 82(2):421– 439, 1956.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints On the numerical solution of heat conduction problems in two and three space variables.Transactions of the American Mathematical Society, 82(2):421– 439, 1956

Reference 24

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raw_fallback, observed 2026-08-05T11:25:15.276503Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ce97be5e-aefe-46be-91b1-879ae3ff4349 · outbound

This paper cites Society for Industrial and Applied Mathematics, 1989.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Society for Industrial and Applied Mathematics, 1989

Reference 25

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raw_fallback, observed 2026-08-05T11:25:15.266338Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a562416a-de7f-4f83-9e63-03f0e874f4ef · outbound

This paper cites Applications of a splitting algorithm to decomposition in convex programming and variational inequalities.SIAM Journal on Control and Optimization, 29(1):119–138, 1991.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Applications of a splitting algorithm to decomposition in convex programming and variational inequalities.SIAM Journal on Control and Optimization, 29(1):119–138, 1991

Reference 26

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raw_fallback, observed 2026-08-05T11:25:15.256445Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 56378e74-5319-4c1d-a2ff-44c37d99254f · outbound

This paper cites On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators

Reference 27

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raw_fallback, observed 2026-08-05T11:25:15.247176Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 74bd8a8e-ebcf-41dc-8d96-d6011b845193 · outbound

This paper cites Aproximal-baseddecompositionmethodforconvexminimization problems.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Aproximal-baseddecompositionmethodforconvexminimization problems

Reference 28

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation a9352002-3fdc-4fe8-89e6-7d96a8f74e60 · outbound

This paper cites A first-order primal-dual algorithm for convex problems with applications to imaging.Journal of Mathematical Imaging and Vision, 40:120–145, 2011.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A first-order primal-dual algorithm for convex problems with applications to imaging.Journal of Mathematical Imaging and Vision, 40:120–145, 2011

Reference 29

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e987edc6-e8e4-4a17-abf3-fb784607aacb · outbound

This paper cites Bertsekas.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Bertsekas

Reference 30

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d7d67182-1df9-4680-ac12-0e26d5f6b396 · outbound

This paper cites Monotone operators associated with saddle-functions and minimax prob- lems.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Monotone operators associated with saddle-functions and minimax prob- lems

Reference 31

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raw_fallback, observed 2026-08-05T11:25:15.210909Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 12cc9dd6-d314-491f-a497-44f67c1ad2f0 · outbound

This paper cites A practical relative error criterion for augmented La- grangians.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A practical relative error criterion for augmented La- grangians

Reference 32

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raw_fallback, observed 2026-08-05T11:25:15.200768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.196137Z digest=sha256:53a13fb50f2d910008aee077f36480a7e9fa39e1be07b0a7440709a9d663fefd

Observation 3b4d4ee0-7499-48c1-8b7a-8ef9fb5b08d1 · outbound

This paper cites Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points.Computational Optimization and Applications, 69(1):51–75, 2018.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Augmented Lagrangians with constrained subproblems and convergence to second-order stationary points.Computational Optimization and Applications, 69(1):51–75, 2018

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raw_fallback, observed 2026-08-05T11:25:15.192319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.198611Z digest=sha256:161b86d2f3a7a6d1b2c92699687cd0762df24315be8203b552d77a4726608d47

Observation 47296f8c-e32b-4a0c-a2f9-6d602849932e · outbound

This paper cites Complexity and performance of an augmented Lagrangian algorithm.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Complexity and performance of an augmented Lagrangian algorithm

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:15.182925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.201201Z digest=sha256:5d3a8d9ccf5fdbf138a2fb36190494088d2bc20c807ca4f64b24a00963e04a82

Observation 9bc6e4df-fbb6-49b8-a4a6-f203383ffa2c · outbound

This paper cites On the complexity of an augmented Lagrangian method for nonconvex optimization.IMA Journal of Numerical Analysis, 41(2):1546–1568, 2021.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints On the complexity of an augmented Lagrangian method for nonconvex optimization.IMA Journal of Numerical Analysis, 41(2):1546–1568, 2021

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:15.174404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.203791Z digest=sha256:ef98b90f91e14916f6f16156e9e9ba98a09a9aabdf5bdc9f0cd103a02fccd78d

Observation 2d11ff8d-b71c-4a3f-a4c5-6ee2b254dea4 · outbound

This paper cites an unresolved cited work.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:25:15.164984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.206761Z digest=sha256:204e633c72b0c40a750de6b2b6cd34f11a3d795303becd5fd990e24ded6cdc90

Observation 1725a7bc-5947-4116-aea4-2ec7615500be · outbound

This paper cites Combined primal-dual and penalty methods for constrained minimization.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Combined primal-dual and penalty methods for constrained minimization

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:15.073808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.209407Z digest=sha256:42c4611bc8bc1b198d78e7b4c30c56869a4dc6faff642add341348ac6a71a8c5

Observation b7c119da-25ca-4349-8f1d-865075a2bd74 · outbound

This paper cites Multiplier methods: A survey.Automatica, 12(2):133–145, 1976.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Multiplier methods: A survey.Automatica, 12(2):133–145, 1976

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.936029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.211946Z digest=sha256:db8df7bfcd4072a86f65ccb6ffb97233b69adbc4c69265454670db441c2c3e2f

Observation 69257278-1968-47c4-9c16-6cffdd3dec43 · outbound

This paper cites Iteration-complexity of first-order augmented La- grangian methods for convex programming.Mathematical Programming, 155(1):511–547, 2016.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Iteration-complexity of first-order augmented La- grangian methods for convex programming.Mathematical Programming, 155(1):511–547, 2016

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.811738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.214535Z digest=sha256:7b98eeb2824a5c8f7d254624703c9290fa00ca27af6cbab21df413beac5404de

Observation e9eb1d3a-60b4-4af6-bc5d-07e1c8d30635 · outbound

This paper cites Adaptive inexact fast augmented La- grangian methods for constrained convex optimization.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Adaptive inexact fast augmented La- grangian methods for constrained convex optimization

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.675700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.217126Z digest=sha256:e20c4a94baf5bc8257777c2c851712d452d821d7cea5bff30b1e9a753360a965

Observation b9f617be-ee03-4cdb-bb35-0db197503743 · outbound

This paper cites Complexity of first-order inexact La- grangian and penalty methods for conic convex programming.Optimization Methods and Soft- ware, 34(2):305–335, 2019.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Complexity of first-order inexact La- grangian and penalty methods for conic convex programming.Optimization Methods and Soft- ware, 34(2):305–335, 2019

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.546347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.219623Z digest=sha256:f936c832380fed09274fb8bf8467653e0941347fd7257190bdad2d394b21f2ad

Observation 737a315a-70ef-4eb9-9d0b-306df0305331 · outbound

This paper cites an unresolved cited work.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:25:14.415257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.222083Z digest=sha256:3b65604cf99a3fbc137d9a88b6b2b5da139d0f397cd9e0c75baba393da1bdc47

Observation 53e4336c-497c-40db-afb5-7589cb6cb0cd · outbound

This paper cites Iteration complexity of inexact augmented Lagrangian methods for constrained convex programming.Mathematical Programming, 185(1):199–244, 2021.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Iteration complexity of inexact augmented Lagrangian methods for constrained convex programming.Mathematical Programming, 185(1):199–244, 2021

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.286595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.224606Z digest=sha256:f903d480eb0ce72a6b5fb755c70b0d6dbec57bb27f48dbf3fbae9443188bce9c

Observation 31b9e515-075c-486f-af99-b50cb274798e · outbound

This paper cites Iteration-complexity of first-order augmented Lagrangian methods for convex conic programming.SIAM Journal on Optimization, 33(2):1159–1190, 2023.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Iteration-complexity of first-order augmented Lagrangian methods for convex conic programming.SIAM Journal on Optimization, 33(2):1159–1190, 2023

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.167482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.227349Z digest=sha256:3e6ac7ad85b878c01b4774b70f154e0f216f92bec92e5b151098dbba6be27b1e

Observation 56297edd-2ff0-455d-96ff-cb7f675b51b3 · outbound

This paper cites An inexactaugmentedLagrangianframeworkfornonconvexoptimizationwithnonlinearconstraints.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints An inexactaugmentedLagrangianframeworkfornonconvexoptimizationwithnonlinearconstraints

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:14.059864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.229771Z digest=sha256:525d1dc46154d259869634c0474b308e16beb8e15edaad1d15e15c513d035189

Observation a22dc667-26b7-4f09-a4f2-a2852a609a55 · outbound

This paper cites Rate-improved inexact augmented lagrangian method for constrained nonconvex optimization.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Rate-improved inexact augmented lagrangian method for constrained nonconvex optimization

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.945109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.232310Z digest=sha256:59a41628f8aa760287807ba7a5a454fc1f86c47a350e5d1a2650fea8d1161215

Observation 2c356f9b-fe19-42bd-90d7-21ac21fb58a7 · outbound

This paper cites The inexact power augmented Lagrangian method for constrained nonconvex optimization.arXiv preprint arXiv:2410.20153, 2024.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints The inexact power augmented Lagrangian method for constrained nonconvex optimization.arXiv preprint arXiv:2410.20153, 2024

Reference 47

Resolution
verified exact
raw_fallback, observed 2026-08-05T11:25:11.405895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.238005Z digest=sha256:33bd5ed2aa925f05ade2220acb0be8d98b59b8b7effc7bd32538880b5a1f3c4c

Observation c9c84b24-2ec9-45d0-afc0-3c0d47f06233 · outbound

This paper cites Lower Complexity Bounds of First-Order Methods for Affinely Constrained Composite Nonconvex Problems.Mathematics of Operations Research, 2025.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Lower Complexity Bounds of First-Order Methods for Affinely Constrained Composite Nonconvex Problems.Mathematics of Operations Research, 2025

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.747413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.240476Z digest=sha256:3e6a015c2b3a5e335d1c5ab92e4c019b829896b45b4dc9c980503e2212b88d89

Observation 32dc7050-2984-4f03-b8c2-494b3b252df1 · outbound

This paper cites A globally convergent augmented La- grangian algorithm for optimization with general constraints and simple bounds.SIAM Journal on Numerical Analysis, 28(2):545–572, 1991.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A globally convergent augmented La- grangian algorithm for optimization with general constraints and simple bounds.SIAM Journal on Numerical Analysis, 28(2):545–572, 1991

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.630915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.243014Z digest=sha256:e5db087d5ca59f001446c90990a5e1897003977686021983b537b1214be1b33b

Observation c7fc602a-67e6-4d0f-9723-e632eddff332 · outbound

This paper cites Convergence properties of an augmented Lagrangian algorithm for optimization with a combination of general equality and linear constraints.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Convergence properties of an augmented Lagrangian algorithm for optimization with a combination of general equality and linear constraints

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.503483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.245633Z digest=sha256:d28413f317b076c0480bb3607318212bccc5e44355bf935d849393011e78b588

Observation b04e8320-0f7b-4d86-847c-a5c9d7064f88 · outbound

This paper cites On augmented Lagrangian methods with general lower-level constraints.SIAM Journal on Opti- mization, 18(4):1286–1309, 2008.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints On augmented Lagrangian methods with general lower-level constraints.SIAM Journal on Opti- mization, 18(4):1286–1309, 2008

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.401796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.248340Z digest=sha256:5d652cc9cf065d43df435d02002db92f90efa7e50698f78f750e664df1d728f3

Observation 0ea20d37-b726-4418-9b6d-5b1662e26c3a · outbound

This paper cites A proximal alternating direction method of multiplier for linearly constrained nonconvex minimization.SIAM Journal on Optimization, 30(3):2272–2302, 2020.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A proximal alternating direction method of multiplier for linearly constrained nonconvex minimization.SIAM Journal on Optimization, 30(3):2272–2302, 2020

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.281905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.251006Z digest=sha256:949fb1fad839e29714f90b14e13aae8bbe097bba629aa5236b914a32e9ba4e63

Observation eae1c8e9-1cba-4a41-af5c-c86cbaeb0143 · outbound

This paper cites A global dual error bound and its application to the analysis of linearly constrained nonconvex optimization.SIAM Journal on Optimization, 32(3):2319–2346, 2022.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A global dual error bound and its application to the analysis of linearly constrained nonconvex optimization.SIAM Journal on Optimization, 32(3):2319–2346, 2022

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:13.049851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.253518Z digest=sha256:5824156647661073010bda40b7fef35b9f3a963faca84d04f7612ef41824c19a

Observation 9a07d1b8-dbcc-4be1-95a2-db057a2fcb31 · outbound

This paper cites Complexity of proximal augmented Lagrangian for nonconvex optimization with nonlinear equality constraints.Journal of Scientific Computing, 86:1–30, 2021.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Complexity of proximal augmented Lagrangian for nonconvex optimization with nonlinear equality constraints.Journal of Scientific Computing, 86:1–30, 2021

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.827616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.256123Z digest=sha256:f1baf310beb01e424a425adbaa2591d0432950f454100402d1b54d878da96dc6

Observation 57f841e1-7b3a-4bce-803c-de1985c3fe39 · outbound

This paper cites Prox-PDA: The proximal primal-dual algorithm for fast distributed nonconvex optimization and learning over networks.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Prox-PDA: The proximal primal-dual algorithm for fast distributed nonconvex optimization and learning over networks

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.693256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.258697Z digest=sha256:0a03cc5d7a7a469f533006b06b7766262d20db430e2d8263361c9c5a028c68fa

Observation 4924fc56-eb32-4814-9064-d27818615f42 · outbound

This paper cites Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.550668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.261294Z digest=sha256:ebba666e7c1e1a8cc01c061523784ec40ad15ab328463d94189fd4eeedca9b9b

Observation 197fc2dc-af04-4e0f-a084-34c2d549a20f · outbound

This paper cites Perturbed proximal primal-dual algorithm for nonconvex nonsmooth optimization.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Perturbed proximal primal-dual algorithm for nonconvex nonsmooth optimization

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.434295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.263825Z digest=sha256:2407dbe1227a088d0c62e4ac6481c1699e22b68b8502fefcc0d81bfdb92e8565

Observation e166b24d-3978-4940-a56f-b1fb92e60290 · outbound

This paper cites Theproximalalternatingdirectionmethodofmultipliers in the nonconvex setting: convergence analysis and rates.Mathematics of Operations Research, 45(2):682–712, 2020.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Theproximalalternatingdirectionmethodofmultipliers in the nonconvex setting: convergence analysis and rates.Mathematics of Operations Research, 45(2):682–712, 2020

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.288450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.266290Z digest=sha256:5cdfd2555d2043e5ffb9666e633f8f415e9737ab070b3b058831735ecf3bc36e

Observation b1a5a070-285c-4d31-9c5e-25166e52d0e5 · outbound

This paper cites An adaptive superfast inexact proximal augmented Lagrangianmethodforsmoothnonconvexcompositeoptimizationproblems.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints An adaptive superfast inexact proximal augmented Lagrangianmethodforsmoothnonconvexcompositeoptimizationproblems

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.139979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.269024Z digest=sha256:bd6a31c93bedca173a2aef86dd44788a975c79a17fd26651e8b19846e07c176d

Observation 34112233-b15b-4fb1-8295-b42759346e54 · outbound

This paper cites Iteration complexity of an inner accelerated inexact proximal augmented Lagrangian method based on the classical Lagrangian function.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Iteration complexity of an inner accelerated inexact proximal augmented Lagrangian method based on the classical Lagrangian function

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:12.026994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.271729Z digest=sha256:4e1c033a7296d1132b23491ac5d4e1ceb503f13b52610b3e493438ac617c4076

Observation fbc25a61-ae90-4706-85bd-baaccb4e0329 · outbound

This paper cites QPALM: A proximal augmented La- grangian method for nonconvex quadratic programs.Mathematical Programming Computation, 14(3):497–541, 2022.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints QPALM: A proximal augmented La- grangian method for nonconvex quadratic programs.Mathematical Programming Computation, 14(3):497–541, 2022

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:11.918056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.274363Z digest=sha256:5489eb1d6d45d03c9eb6a3dd1a7fc124ba186157724f9fe1f6bce42ff1282b1c

Observation 80b0d46c-efa5-4269-bbf6-ef75f1240358 · outbound

This paper cites A repository of convex quadratic programming problems.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A repository of convex quadratic programming problems

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:11.815297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.277053Z digest=sha256:0d38386758db40f95eef220318b23f7082559c6a7f63fc1b0df79cddcef89e7f

Observation b02f42fe-dab3-4aea-8867-aab2dbd35cd4 · outbound

This paper cites Atomic decomposition by basis pursuit.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Atomic decomposition by basis pursuit

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Resolution
unresolved
no resolver link, observed 2026-08-05T11:25:11.279632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T11:25:11.279632Z digest=sha256:4b9de06cc82247e9790ef26968aa4cb5d074424880bffe026b572b3475175c0f

Observation 10288283-16d1-48ed-97f6-11e99890b231 · outbound

This paper cites Conn, Nicholas I.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Conn, Nicholas I

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:11.687694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.282244Z digest=sha256:fee5ba1f0f057b430573236f0f04f84f4634a898cf36bdc46650fd59afdeb367

Observation 6fc24594-925b-4bc1-9f3c-393339ebf587 · outbound

This paper cites A simple and efficient algorithm for nonlinear model predictive control.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints A simple and efficient algorithm for nonlinear model predictive control

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:11.576856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.285232Z digest=sha256:91bc5f0601d8b6dd01ba1b5dedf21a0e5291e59218ebb589a1d7b478a943035d

Observation 2ce66012-9973-4329-ac08-618b137458bf · outbound

This paper cites Alpaqa: A matrix-free solver for nonlinear MPC and large-scale nonconvex optimization.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Alpaqa: A matrix-free solver for nonlinear MPC and large-scale nonconvex optimization

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:25:11.451329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.287811Z digest=sha256:c5ef0bb76e5f63d4f25e29fec36a3bf3b8b168e858c247b6c6def588c7a286cb

Observation 4367cca0-0d9d-4c98-8564-f577273bc193 · outbound

This paper cites an unresolved cited work.

A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints Unresolved cited work

Reference 2178

Resolution
parse uncertain
raw_fallback, observed 2026-08-05T11:25:13.853136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-05T11:25:11.235392Z digest=sha256:9b0bfca9432eaf1d93bc61bb3a0975876a8d865126953567f8203aa5c049d47d

Pith citing papers

Observation 38959ceb-cff4-46d8-ae77-4f8cb9d8ed9b · inbound

A Proximal Augmented Lagrangian Method Based on Quadratic Approximations for Weakly Convex Optimization cites this paper.

A Proximal Augmented Lagrangian Method Based on Quadratic Approximations for Weakly Convex Optimization A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-12T10:51:31.684924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation b5ec6dfb-1dbd-4751-a107-60528082d1e1 · inbound

Optimal Nonergodic Primal-Dual Complexity of Efficient Inexact Parameter-Free Augmented Lagrangian Methods cites this paper.

Optimal Nonergodic Primal-Dual Complexity of Efficient Inexact Parameter-Free Augmented Lagrangian Methods A proximal augmented Lagrangian method for nonconvex optimization with equality and inequality constraints

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T04:26:16.607464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T04:26:16.607464Z digest=sha256:c64c4f685036ae4fb12aba3b8a4f56f9eee476d2bf5837a2f826e2e04fdc8ff8