Paper Citation Record · LEDGER

Connecting randomized iterative methods with Krylov subspaces

As of 22 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 4 inbound Pith citation observations for arXiv:2505.20602.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.20602 v1

Coverage vector

measured 70 of 70 reference resolution

Typed states for the displayed outbound observations.

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measured 74 of 74 standing notices

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measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:43:07.646135Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T23:54:03.386835Z

Reference resolution

70 of 70 outbound references displayed

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External citation measurements

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Outbound references

Observation f43eaa9b-f7ed-4375-b5fe-b7ab43b4e97e · outbound

This paper cites Randomized Gram-Schm idt process with application to GMRES.

Connecting randomized iterative methods with Krylov subspaces Randomized Gram-Schm idt process with application to GMRES

Reference 1

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This paper cites Pattern recognition and machine learning.

Connecting randomized iterative methods with Krylov subspaces Pattern recognition and machine learning

Reference 2

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Observation b1a808c8-ad43-43de-b17c-dc2bce0b201a · outbound

This paper cites Introduction to applied linear algebra: vectors, matrices , and least squares.

Connecting randomized iterative methods with Krylov subspaces Introduction to applied linear algebra: vectors, matrices , and least squares

Reference 3

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This paper cites Gmres with randomized sketching and deﬂated restarting.

Connecting randomized iterative methods with Krylov subspaces Gmres with randomized sketching and deﬂated restarting

Reference 4

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Observation acc5aa7b-7f23-4028-a9ad-cf5ed3326d9d · outbound

This paper cites Libsvm: a library for support vector machines.

Connecting randomized iterative methods with Krylov subspaces Libsvm: a library for support vector machines

Reference 5

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Observation 8440852f-4408-43a6-9cf2-bf2bdb794c5a · outbound

This paper cites Finding frequent items in data streams.Theor.

Connecting randomized iterative methods with Krylov subspaces Finding frequent items in data streams.Theor

Reference 6

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Observation 592999df-0354-46df-ace4-40bee29f7721 · outbound

This paper cites Regularized Kaczmarz algorith ms for tensor recovery.

Connecting randomized iterative methods with Krylov subspaces Regularized Kaczmarz algorith ms for tensor recovery

Reference 7

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Observation 7c9e63b9-d6ba-4397-ad62-c1155d975139 · outbound

This paper cites Low-rank approxi mation and regression in input sparsity time.

Connecting randomized iterative methods with Krylov subspaces Low-rank approxi mation and regression in input sparsity time

Reference 8

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Observation 23967910-a03c-4532-b062-40a1a8e962e4 · outbound

This paper cites An improved data stream summary: the count-min sketch and its applications.

Connecting randomized iterative methods with Krylov subspaces An improved data stream summary: the count-min sketch and its applications

Reference 9

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Observation a27925f3-b3e7-4be6-ad40-bc8762700cb2 · outbound

This paper cites Recent and upcoming developments in randomized nu- merical linear algebra for machine learning.

Connecting randomized iterative methods with Krylov subspaces Recent and upcoming developments in randomized nu- merical linear algebra for machine learning

Reference 10

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Observation 4e9d5633-30a0-407d-a4f3-dcce58ee81fc · outbound

This paper cites Uniﬁed matrix treatment of the fast wal sh-hadamard transform.

Connecting randomized iterative methods with Krylov subspaces Uniﬁed matrix treatment of the fast wal sh-hadamard transform

Reference 11

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Observation a7b90fe4-ab59-4e97-9256-9c65416f7619 · outbound

This paper cites Ri dgeSketch: a fast sketching based solver for large scale ridge regression.

Connecting randomized iterative methods with Krylov subspaces Ri dgeSketch: a fast sketching based solver for large scale ridge regression

Reference 12

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Observation d4654221-01cb-4b38-99c3-0640887b4ea9 · outbound

This paper cites Acceleration schemes for the method of alternating projections.

Connecting randomized iterative methods with Krylov subspaces Acceleration schemes for the method of alternating projections

Reference 13

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Observation 2c57b24e-635e-4618-8fa8-2ba6d87ca92c · outbound

This paper cites Matrix computations.

Connecting randomized iterative methods with Krylov subspaces Matrix computations

Reference 14

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Connecting randomized iterative methods with Krylov subspaces Unresolved cited work

Reference 15

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Observation 34354e06-d1ee-46b3-82cf-d265f6ba6aee · outbound

This paper cites Gower and Peter Richt´ arik.

Connecting randomized iterative methods with Krylov subspaces Gower and Peter Richt´ arik

Reference 16

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Observation d36ab3cb-7b26-4826-81f4-cdf979ae60f3 · outbound

This paper cites A sketch-and-select Arnoldi process.

Connecting randomized iterative methods with Krylov subspaces A sketch-and-select Arnoldi process

Reference 17

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Observation a27790fb-1fd8-43d2-9011-c672538df6cc · outbound

This paper cites Randomized Doug las–Rachford methods for linear systems: Improved accuracy and eﬃciency.

Connecting randomized iterative methods with Krylov subspaces Randomized Doug las–Rachford methods for linear systems: Improved accuracy and eﬃciency

Reference 18

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Observation 5dc908db-5c55-4f9e-aa9c-79c9e6cdf4c4 · outbound

This paper cites Randomized Doug las-Rachford methods for linear systems: Improved accuracy and eﬃciency.

Connecting randomized iterative methods with Krylov subspaces Randomized Doug las-Rachford methods for linear systems: Improved accuracy and eﬃciency

Reference 19

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Observation 71d4514f-cd75-44f9-be42-4be87dc8ed3f · outbound

This paper cites On pseudoinverse-free randomized methods for linear systems: Unified framework and acceleration.

Connecting randomized iterative methods with Krylov subspaces On pseudoinverse-free randomized methods for linear systems: Unified framework and acceleration

Reference 20

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Observation 95d8a7e4-bdcb-4f13-8be3-b21fd684ac44 · outbound

This paper cites The elements of statistical learning: data mining, inference, and prediction, 2009.

Connecting randomized iterative methods with Krylov subspaces The elements of statistical learning: data mining, inference, and prediction, 2009

Reference 21

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Observation 5cbf0967-0794-4eab-b1f3-18ca96c63037 · outbound

This paper cites Inertial ra ndomized kaczmarz algorithms for solving coherent linear systems.

Connecting randomized iterative methods with Krylov subspaces Inertial ra ndomized kaczmarz algorithms for solving coherent linear systems

Reference 22

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Observation ed5d0a71-22fc-45bd-9073-2e2d4007c47f · outbound

This paper cites Rows v ersus columns: Randomized Kaczmarz or Gauss–Seidel for ridge regression.

Connecting randomized iterative methods with Krylov subspaces Rows v ersus columns: Randomized Kaczmarz or Gauss–Seidel for ridge regression

Reference 23

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Observation fb8fdf17-7cef-454d-bec8-40e58fcb5f60 · outbound

This paper cites Generalized Gearhart-Koshy acceleration is a Krylov subspace method.

Connecting randomized iterative methods with Krylov subspaces Generalized Gearhart-Koshy acceleration is a Krylov subspace method

Reference 24

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Observation f403a589-dd5d-43f0-b9a9-0e0e24d25fd5 · outbound

This paper cites Algebraic reconstruction techniques can be made computation- ally eﬃcient (positron emission tomography application).

Connecting randomized iterative methods with Krylov subspaces Algebraic reconstruction techniques can be made computation- ally eﬃcient (positron emission tomography application)

Reference 25

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Observation d6c1b475-54c8-4347-a021-179c1ccc4986 · outbound

This paper cites Randomized K aczmarz in adversarial distributed setting.

Connecting randomized iterative methods with Krylov subspaces Randomized K aczmarz in adversarial distributed setting

Reference 26

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Observation ac399a2e-67e3-4f2d-9711-d47900a1f03c · outbound

This paper cites Linear convergence of randomized Kaczmarz method for solving complex- valued phaseless equations.

Connecting randomized iterative methods with Krylov subspaces Linear convergence of randomized Kaczmarz method for solving complex- valued phaseless equations

Reference 27

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Observation 479fb3a1-405c-4b21-9a69-1a7e2cdf5cc7 · outbound

This paper cites Linear Convergence of Reshuffling Kaczmarz Methods With Sparse Constraints.

Connecting randomized iterative methods with Krylov subspaces Linear Convergence of Reshuffling Kaczmarz Methods With Sparse Constraints

Reference 28

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Observation 04a0b303-ed77-4d68-8c6b-6923be4334e4 · outbound

This paper cites Extensi ons of lipschitz mappings into a hilbert space.

Connecting randomized iterative methods with Krylov subspaces Extensi ons of lipschitz mappings into a hilbert space

Reference 29

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Observation 147705f6-e4c5-4415-80f5-401fb679636c · outbound

This paper cites Angen¨ aherte auﬂ¨ osung von systemen linearer glei-chungen.

Connecting randomized iterative methods with Krylov subspaces Angen¨ aherte auﬂ¨ osung von systemen linearer glei-chungen

Reference 30

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Observation 2493e568-ff9f-4c39-9567-2422bca78e28 · outbound

This paper cites The suitesparse matrix collection website interface.

Connecting randomized iterative methods with Krylov subspaces The suitesparse matrix collection website interface

Reference 31

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This paper cites First-order and stochastic optimization methods for machi ne learning.

Connecting randomized iterative methods with Krylov subspaces First-order and stochastic optimization methods for machi ne learning

Reference 32

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Observation 234b70a9-9268-4dbe-9fe3-54d15024da91 · outbound

This paper cites Randomized method s for linear constraints: convergence rates and conditioning.

Connecting randomized iterative methods with Krylov subspaces Randomized method s for linear constraints: convergence rates and conditioning

Reference 33

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Observation 9d7b1592-4255-4e78-80fb-d787df549d00 · outbound

This paper cites Numerical Mathe- matics and Scie, 2013.

Connecting randomized iterative methods with Krylov subspaces Numerical Mathe- matics and Scie, 2013

Reference 34

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Observation b9979f03-94f1-40bd-bfb8-b239c22e7320 · outbound

This paper cites An accelerated randomized Kaczmarz algorithm.

Connecting randomized iterative methods with Krylov subspaces An accelerated randomized Kaczmarz algorithm

Reference 35

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Observation 18a337f1-8abd-44d0-8b66-d5a83f524286 · outbound

This paper cites Subspace methods for nonlinear optimization.

Connecting randomized iterative methods with Krylov subspaces Subspace methods for nonlinear optimization

Reference 36

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Observation a9796e3a-8dec-4072-9960-1f4a5d71b554 · outbound

This paper cites Momentum and stoc hastic momentum for stochastic gradient, newton, proximal point and subspace descent methods.

Connecting randomized iterative methods with Krylov subspaces Momentum and stoc hastic momentum for stochastic gradient, newton, proximal point and subspace descent methods

Reference 37

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Observation 1d91a494-9533-4e88-b34a-c3c39b015705 · outbound

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Connecting randomized iterative methods with Krylov subspaces Minimal error mom entum bregman-kaczmarz

Reference 38

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Observation 2e697a71-b13a-4f10-bb94-c8cde4a16bd4 · outbound

This paper cites Randomized Kaczmarz for ten sor linear systems.

Connecting randomized iterative methods with Krylov subspaces Randomized Kaczmarz for ten sor linear systems

Reference 39

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Connecting randomized iterative methods with Krylov subspaces Stochastic gradient descent for linear systems with missing data

Reference 40

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Observation 166afa6a-06a3-4c72-8c7f-c61217fb3436 · outbound

This paper cites Randomized num erical linear algebra: Foundations and algorithms.

Connecting randomized iterative methods with Krylov subspaces Randomized num erical linear algebra: Foundations and algorithms

Reference 41

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Observation 8e6eb56f-d8b9-45a1-9057-18574bae7dca · outbound

This paper cites LSRN: A parallel iterative solver for strongly over-or underdetermined systems.

Connecting randomized iterative methods with Krylov subspaces LSRN: A parallel iterative solver for strongly over-or underdetermined systems

Reference 42

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Observation d80e2458-4b6e-491d-bd80-de20c5305d3e · outbound

This paper cites Fast and accurate ran domized algorithms for linear systems and eigenvalue problems.

Connecting randomized iterative methods with Krylov subspaces Fast and accurate ran domized algorithms for linear systems and eigenvalue problems

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:52.014040Z

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Observation ba187e12-5aae-4f83-95cf-cdd18705f552 · outbound

This paper cites Faster randomized block kaczmarz algorit hms.

Connecting randomized iterative methods with Krylov subspaces Faster randomized block kaczmarz algorit hms

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:51.904134Z

Source-reported events for the cited work

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Observation a533d58d-2aee-4bc9-846a-6cbd746affdd · outbound

This paper cites Stocha stic gradient descent, weighted sampling, and the randomized Kaczmarz algorithm.

Connecting randomized iterative methods with Krylov subspaces Stocha stic gradient descent, weighted sampling, and the randomized Kaczmarz algorithm

Reference 45

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Source-reported events for the cited work

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This paper cites Introductory lectures on convex optimization: A basic cour se, volume 87.

Connecting randomized iterative methods with Krylov subspaces Introductory lectures on convex optimization: A basic cour se, volume 87

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:51.761339Z

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Observation 6f5518e1-73a3-4e86-befc-b905e8bcbda3 · outbound

This paper cites A method for solving the convex programming problem with convergence rate O(1/k2).

Connecting randomized iterative methods with Krylov subspaces A method for solving the convex programming problem with convergence rate O(1/k2)

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:51.657429Z

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Observation 8a61151f-21ad-4c6a-b9d3-a1a61bd52548 · outbound

This paper cites Numerical optimization.

Connecting randomized iterative methods with Krylov subspaces Numerical optimization

Reference 48

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Observation f7e8b898-2263-4b5c-acbe-6786f0c83625 · outbound

This paper cites Iterative hessia n sketch: Fast and accurate solution approxi- mation for constrained least-squares.

Connecting randomized iterative methods with Krylov subspaces Iterative hessia n sketch: Fast and accurate solution approxi- mation for constrained least-squares

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:51.537112Z

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Observation 25fbce1f-43f1-4ef7-8a23-1e17f8a8e260 · outbound

This paper cites Some methods of speeding up the converge nce of iteration methods.

Connecting randomized iterative methods with Krylov subspaces Some methods of speeding up the converge nce of iteration methods

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:51.389691Z

Source-reported events for the cited work

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Observation a7cc5cf9-2116-46e3-8399-fd3778a1c341 · outbound

This paper cites A statistical p erspective on randomized sketching for ordi- nary least-squares.

Connecting randomized iterative methods with Krylov subspaces A statistical p erspective on randomized sketching for ordi- nary least-squares

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:51.222556Z

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Observation ad5a1eaa-96a2-4c02-b8da-d0ec175c64bf · outbound

This paper cites Generalized gearhart-koshy accelera tion for the kaczmarz method.

Connecting randomized iterative methods with Krylov subspaces Generalized gearhart-koshy accelera tion for the kaczmarz method

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:51.098494Z

Source-reported events for the cited work

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Observation 8f8535d1-bfce-4656-9789-8d83a35b6c2a · outbound

This paper cites A stochastic approxi mation method.

Connecting randomized iterative methods with Krylov subspaces A stochastic approxi mation method

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:50.907903Z

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Observation 8d3253bd-915e-48fe-837a-5553e20c7ade · outbound

This paper cites Iterative methods for sparse linear systems.

Connecting randomized iterative methods with Krylov subspaces Iterative methods for sparse linear systems

Reference 54

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Observation fc5b2575-1446-470c-9763-d124dc098a5e · outbound

This paper cites Linear convergence o f the randomized sparse Kaczmarz method.

Connecting randomized iterative methods with Krylov subspaces Linear convergence o f the randomized sparse Kaczmarz method

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-07T14:01:47.977114Z

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Observation 95d5c7f2-ec14-4821-b94d-e3cdb3959327 · outbound

This paper cites A randomized Kacz marz algorithm with exponential conver- gence.

Connecting randomized iterative methods with Krylov subspaces A randomized Kacz marz algorithm with exponential conver- gence

Reference 56

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Observation d82546b8-96a3-44ee-bb4d-1b90b96dc490 · outbound

This paper cites On greedy multi-step inertial randomized kaczmarz method for solving linear systems.

Connecting randomized iterative methods with Krylov subspaces On greedy multi-step inertial randomized kaczmarz method for solving linear systems

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:50.683093Z

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Observation 5081b99f-734c-4685-b37d-4174860ad141 · outbound

This paper cites Gearhart–Koshy acceleration for aﬃne su bspaces.

Connecting randomized iterative methods with Krylov subspaces Gearhart–Koshy acceleration for aﬃne su bspaces

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:50.517514Z

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Observation 1854ffdb-ada1-4b9a-a3ee-5a915a465d72 · outbound

This paper cites Phase retrieval via randomized Kaczmarz: theoretical guarantees.

Connecting randomized iterative methods with Krylov subspaces Phase retrieval via randomized Kaczmarz: theoretical guarantees

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-07T14:01:48.341214Z

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Observation 6052985c-41dc-4f31-a7e6-66c9becff3f7 · outbound

This paper cites Improved analysis of the subsampled randomized hadamard transform.

Connecting randomized iterative methods with Krylov subspaces Improved analysis of the subsampled randomized hadamard transform

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:50.366224Z

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Observation 12caf9eb-236a-40eb-8dc4-bf4b63dad8a5 · outbound

This paper cites A fast randomized algorithm for the approximation of matrices.

Connecting randomized iterative methods with Krylov subspaces A fast randomized algorithm for the approximation of matrices

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:50.219579Z

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Observation 80898be7-809e-472e-bf35-4b43007b343e · outbound

This paper cites Randomized block Kaczmarz with volume sampling: Momentum acceleration and efficient implementation.

Connecting randomized iterative methods with Krylov subspaces Randomized block Kaczmarz with volume sampling: Momentum acceleration and efficient implementation

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-07T14:01:48.576147Z

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Observation 0e71c330-3823-43c9-aba0-0e007aa03e80 · outbound

This paper cites Randomized iterative methods for generalized absolute value equations: Solvability and error bounds.

Connecting randomized iterative methods with Krylov subspaces Randomized iterative methods for generalized absolute value equations: Solvability and error bounds

Reference 63

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Observation f61919d0-c176-4db9-ac58-349f2c7321b7 · outbound

This paper cites A review on subspace methods for nonline ar optimization.

Connecting randomized iterative methods with Krylov subspaces A review on subspace methods for nonline ar optimization

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:50.085432Z

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Observation 84f7f156-e26c-406b-a368-83145f624da9 · outbound

This paper cites Ada ptively sketched Bregman projection methods for linear systems.

Connecting randomized iterative methods with Krylov subspaces Ada ptively sketched Bregman projection methods for linear systems

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-07T14:01:48.743832Z

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Observation 2a196283-7eb2-4840-b645-d45e107e5695 · outbound

This paper cites Random ized Kaczmarz method with adaptive stepsizes for inconsistent linear systems.

Connecting randomized iterative methods with Krylov subspaces Random ized Kaczmarz method with adaptive stepsizes for inconsistent linear systems

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:49.947356Z

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Observation 27018d11-f9fd-4c1b-8e5b-ffe724bb0ab6 · outbound

This paper cites On adap tive stochastic heavy ball momentum for solving linear systems.

Connecting randomized iterative methods with Krylov subspaces On adap tive stochastic heavy ball momentum for solving linear systems

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-07T14:01:48.841257Z

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Observation cb2677fc-a7f3-4ec6-886c-c3dace9bb93e · outbound

This paper cites Proof of the main results 7.1.

Connecting randomized iterative methods with Krylov subspaces Proof of the main results 7.1

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:49.767536Z

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Observation 5bdbb3a2-5326-461b-8d24-5c62183afa83 · outbound

This paper cites By the arbitrariness of x, we conclude Kk+1(A⊤A, A⊤r0) ⊆ Hk.

Connecting randomized iterative methods with Krylov subspaces By the arbitrariness of x, we conclude Kk+1(A⊤A, A⊤r0) ⊆ Hk

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:49.656108Z

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Observation fa1b59ae-17bb-42ff-b6a5-e91e079f5cc1 · outbound

This paper cites □ Proof of Proposition 4.4.

Connecting randomized iterative methods with Krylov subspaces □ Proof of Proposition 4.4

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:01:49.496100Z

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Pith citing papers

Observation 1cbd26f1-3d0c-4f33-8adf-cddefcfea7a3 · inbound

Enhanced randomized Douglas-Rachford method: Improved probabilities and adaptive momentum cites this paper.

Enhanced randomized Douglas-Rachford method: Improved probabilities and adaptive momentum Connecting randomized iterative methods with Krylov subspaces

Reference 33

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Observation adaca877-d773-4d66-83af-553cb4d5b9d2 · inbound

Linear convergence of Gearhart-Koshy accelerated Kaczmarz methods for tensor linear systems cites this paper.

Linear convergence of Gearhart-Koshy accelerated Kaczmarz methods for tensor linear systems Connecting randomized iterative methods with Krylov subspaces

Reference 48

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:05:50.280476Z

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Observation ede75ea4-3e85-4c1c-8966-6c51faf4587d · inbound

Randomized conjugate gradient least squares cites this paper.

Randomized conjugate gradient least squares Connecting randomized iterative methods with Krylov subspaces

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-06-29T23:54:03.388261Z

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Observation 2cbb8c56-4a4c-4315-9647-c0dbb74a0c38 · inbound

On subspace-constrained preconditioning for randomized iterative methods cites this paper.

On subspace-constrained preconditioning for randomized iterative methods Connecting randomized iterative methods with Krylov subspaces

Reference 72

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:23:08.766148Z

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