Paper Citation Record · LEDGER

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems

As of 9 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2607.26235.

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pith.paper-citation-record.v1
2607.26235 v2

Coverage vector

measured 39 of 39 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T00:38:06.379958Z

measured 39 of 39 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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Reference resolution

39 of 39 outbound references displayed

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Outbound references

Observation 4e139f94-1c1a-4f5a-b2c3-9e8394223100 · outbound

This paper cites Soviet Mathematics Doklady27(2), 372–376 (1983).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Soviet Mathematics Doklady27(2), 372–376 (1983)

Reference 1

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Observation cd6c56f6-d465-4d4a-9f8b-ba81af198911 · outbound

This paper cites SIAM Journal on Imaging Sciences2(1), 183–202 (2009).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems SIAM Journal on Imaging Sciences2(1), 183–202 (2009)

Reference 2

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Observation 5ec9d48b-b708-4e77-a0c9-48a6adc6cfc9 · outbound

This paper cites Mathematical Programming159, 81–107 (2016).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Mathematical Programming159, 81–107 (2016)

Reference 3

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Observation 1cd63a44-8ed8-4064-97f2-558624144b28 · outbound

This paper cites Applied Mathematics & Optimization88(77) (2023).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Applied Mathematics & Optimization88(77) (2023)

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:03.235409Z

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Observation 262c937a-b6c1-4896-a660-315c1831c80a · outbound

This paper cites Journal of Machine Learning Research17(153), 1–43 (2016).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Journal of Machine Learning Research17(153), 1–43 (2016)

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:03.278951Z

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Observation c6e53d9d-7330-4c30-a27f-303c3e0dee6b · outbound

This paper cites Mathematical Programming168, 123–175 (2018).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Mathematical Programming168, 123–175 (2018)

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:03.329511Z

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Observation 225f9181-e274-4937-a793-73b4fa83c403 · outbound

This paper cites arXiv:2510.23513 (2025).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems arXiv:2510.23513 (2025)

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:03.392866Z

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Observation be98650c-abb9-4a7a-ae71-36a5ba7535fc · outbound

This paper cites Turkish Journal of Mathematics41(3), 681–685 (2017).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Turkish Journal of Mathematics41(3), 681–685 (2017)

Reference 8

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Observation 69b83ce3-2069-49f3-a0ed-29a11ac853cd · outbound

This paper cites SIAM Journal on Optimization26(3), 1824–1834 (2016).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems SIAM Journal on Optimization26(3), 1824–1834 (2016)

Reference 9

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Observation 2caa6d2f-0f36-4e63-8a10-cefa4cdb13f2 · outbound

This paper cites Journal of Differential Equations 20 261(10), 5734–5783 (2016).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Journal of Differential Equations 20 261(10), 5734–5783 (2016)

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:03.564787Z

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Observation ce10ec22-b6b2-4e0d-b608-53201a13b380 · outbound

This paper cites Journal de Math´ ematiques Pures et Appliqu´ ees81(8), 747–779 (2002).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Journal de Math´ ematiques Pures et Appliqu´ ees81(8), 747–779 (2002)

Reference 11

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Observation 39e58897-1855-4d7d-9b05-dd79870099dc · outbound

This paper cites Mathematical Programming 195, 79–148 (2022).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Mathematical Programming 195, 79–148 (2022)

Reference 12

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Observation e7dd31d0-423c-431a-a521-16cb57a86b49 · outbound

This paper cites SIAM Journal on Optimization34(2), 2150–2168 (2024).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems SIAM Journal on Optimization34(2), 2150–2168 (2024)

Reference 13

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Observation 6c8fb863-4cd1-47c3-bf95-7528d556015b · outbound

This paper cites Fast convex optimization via inertial systems with asymptotically vanishing viscosity and Hessian-driven damping.

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Fast convex optimization via inertial systems with asymptotically vanishing viscosity and Hessian-driven damping

Reference 14

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Observation ca77c4bd-a655-456f-b949-3bf7525a84dd · outbound

This paper cites USSR computational mathematics and mathematical physics4(5), 791–803 (1964).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems USSR computational mathematics and mathematical physics4(5), 791–803 (1964)

Reference 15

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Observation 5be24e31-c0da-492e-ae44-9e8954fdae53 · outbound

This paper cites the continuous dynamical system: global exploration of the local minima of a real-valued function by asymptotic analysis of a dissipative dynamical system.

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems the continuous dynamical system: global exploration of the local minima of a real-valued function by asymptotic analysis of a dissipative dynamical system

Reference 16

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Observation 99dcd4e3-4965-4e3c-b4ca-3fe6c6e9c6b4 · outbound

This paper cites Accelerated First-Order Methods: Differential Equations and Lyapunov Functions.

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Accelerated First-Order Methods: Differential Equations and Lyapunov Functions

Reference 17

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Observation 0a81bc7c-b55e-4a21-a0c6-efceece41ab5 · outbound

This paper cites Mathematical Programming195, 735–781 (2022).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Mathematical Programming195, 735–781 (2022)

Reference 18

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Observation ceb00725-6064-4f2b-8abd-62ba6f27286d · outbound

This paper cites SIAM Journal on Optimization 32(3), 1817–1842 (2022).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems SIAM Journal on Optimization 32(3), 1817–1842 (2022)

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:04.329286Z

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Observation 0c9efddc-6794-4baf-b178-1f9603856973 · outbound

This paper cites Mathematical Programming 193, 113–155 (2022).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Mathematical Programming 193, 113–155 (2022)

Reference 20

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Observation 43b3bf6e-f8d5-4d85-b05a-87a363b2d7fc · outbound

This paper cites Accelerated Gradient Methods via Inertial Systems with Hessian-driven Damping.

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Accelerated Gradient Methods via Inertial Systems with Hessian-driven Damping

Reference 21

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Observation 991804e7-4a1f-49f8-9367-b354343d936d · outbound

This paper cites 21 Springer, New York (2004).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems 21 Springer, New York (2004)

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:04.629516Z

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Observation b2d6e508-9c58-414a-9ef4-c0a3efb50400 · outbound

This paper cites IF AC-PapersOnLine53(2), 7362–7367 (2020).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems IF AC-PapersOnLine53(2), 7362–7367 (2020)

Reference 23

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Observation 45436575-9870-4efb-968f-1cd03ab3c5e9 · outbound

This paper cites Fast primal-dual methods for convex-concave bilinear saddle point problems: continuous-time dynamics and discrete algorithms.

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Fast primal-dual methods for convex-concave bilinear saddle point problems: continuous-time dynamics and discrete algorithms

Reference 24

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Observation 11177da7-acff-462a-a99c-d25db18b2c9e · outbound

This paper cites Applied Mathematics & Optimization 89(30) (2024).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Applied Mathematics & Optimization 89(30) (2024)

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:04.936362Z

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Observation 1976b146-f272-4619-a950-6c98303ca264 · outbound

This paper cites Computational Optimization and Applications90, 151–192 (2025).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Computational Optimization and Applications90, 151–192 (2025)

Reference 26

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Observation ee747806-332f-4c05-80bf-e2edec465f5c · outbound

This paper cites IEEE Transactions on Automatic Control68(3), 1760–1767 (2023).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems IEEE Transactions on Automatic Control68(3), 1760–1767 (2023)

Reference 27

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Observation 9eedd440-d32f-47d4-9084-d04a0e5d7496 · outbound

This paper cites Journal of Differential Equations303, 369–406 (2021).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Journal of Differential Equations303, 369–406 (2021)

Reference 28

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Observation d3243f0d-ab87-4bad-939f-de0022e2ba66 · outbound

This paper cites Trajectory convergence and $o(t^{-2})$ rates for Nesterov accelerated primal-dual dynamics without Lipschitz gradient assumption.

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Trajectory convergence and $o(t^{-2})$ rates for Nesterov accelerated primal-dual dynamics without Lipschitz gradient assumption

Reference 29

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Observation 959bd678-b433-4217-b392-6b88b6f4f562 · outbound

This paper cites Applied Mathematics & Optimization 88(27) (2023).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Applied Mathematics & Optimization 88(27) (2023)

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:05.314126Z

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Observation 20833850-bb14-4f37-9310-109c7f956ab8 · outbound

This paper cites SIAM Journal on Control and Optimization59(5), 3278–3301 (2021).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems SIAM Journal on Control and Optimization59(5), 3278–3301 (2021)

Reference 31

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This paper cites second-order primal.

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems second-order primal

Reference 32

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This paper cites Automatica146, 110547 (2022) 22.

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Automatica146, 110547 (2022) 22

Reference 33

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This paper cites Journal of Optimization Theory and Applications193, 704–736 (2022).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Journal of Optimization Theory and Applications193, 704–736 (2022)

Reference 34

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Observation 5e6c5bed-c570-49b3-98f9-6cf5a1ee09d9 · outbound

This paper cites Mathematical Programming200, 147–197 (2023).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Mathematical Programming200, 147–197 (2023)

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:05.803576Z

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Observation c58e9121-ad41-49c8-a0e9-50dd388bc1f2 · outbound

This paper cites Convergence of iterates and improved rates for accelerated augmented Lagrangian methods for linearly constrained convex optimization.

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Convergence of iterates and improved rates for accelerated augmented Lagrangian methods for linearly constrained convex optimization

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:05.949330Z

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Observation d6082fb1-ad06-4f09-bc42-d6c3d53bff06 · outbound

This paper cites Optimization74(2), 365–390 (2025).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Optimization74(2), 365–390 (2025)

Reference 37

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Observation 36fa8feb-d541-4090-bd48-9891ebbcfcc6 · outbound

This paper cites Foundations of Computational Mathematics25, 163–222 (2025).

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Foundations of Computational Mathematics25, 163–222 (2025)

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:06.215645Z

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Observation 30ab5f1f-9fc3-4483-b82f-d78ec2a8a142 · outbound

This paper cites Nesterov acceleration for strongly convex-strongly concave bilinear saddle point problems: discrete and continuous-time approaches.

Inertial Primal Dual Dynamics with Hessian-driven Damping for Saddle Point Problems Nesterov acceleration for strongly convex-strongly concave bilinear saddle point problems: discrete and continuous-time approaches

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T00:38:06.379958Z

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