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Paper Citation Record · LEDGER

Higher order Jacobi method for solving system of linear equations

As of 14 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2505.16906.

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pith.paper-citation-record.v1
2505.16906 v2

Coverage vector

measured 56 of 56 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

56 of 56 outbound references displayed

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External citation measurements

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Outbound references

Observation ee27de02-0306-4675-88d2-f6304142e013 · outbound

This paper cites Numerical solution of partial differential equations: finite difference methods.

Higher order Jacobi method for solving system of linear equations Numerical solution of partial differential equations: finite difference methods

Reference 1

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This paper cites Numerical methods for partial differential equations.

Higher order Jacobi method for solving system of linear equations Numerical methods for partial differential equations

Reference 2

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This paper cites Numerical solution of partial differential equations by the finite element method.

Higher order Jacobi method for solving system of linear equations Numerical solution of partial differential equations by the finite element method

Reference 3

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Observation c90ac0c6-c4ac-4236-a246-eb80168c1832 · outbound

This paper cites On best approximate solutions of linear matrix equations.

Higher order Jacobi method for solving system of linear equations On best approximate solutions of linear matrix equations

Reference 4

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Observation 0e286fff-6d84-4347-b898-cc38ae712a1b · outbound

This paper cites Characteristic basis function method: A new technique for efficient solution of method of moments matrix equations.

Higher order Jacobi method for solving system of linear equations Characteristic basis function method: A new technique for efficient solution of method of moments matrix equations

Reference 5

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Observation d92d9b84-718b-44e0-ad4a-4301e1bafcca · outbound

This paper cites Simulation modeling and analysis , volume 3.

Higher order Jacobi method for solving system of linear equations Simulation modeling and analysis , volume 3

Reference 6

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Observation 859f7f36-bef2-441c-aa6e-79fd9818f76b · outbound

This paper cites A guide to simulation.

Higher order Jacobi method for solving system of linear equations A guide to simulation

Reference 7

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Observation 3d9992eb-1230-4f3c-b05f-5ad7938d3142 · outbound

This paper cites Beyond-classical com- putation in quantum simulation.

Higher order Jacobi method for solving system of linear equations Beyond-classical com- putation in quantum simulation

Reference 8

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Observation e4b8898b-b820-4ea1-abda-7a11a452105e · outbound

This paper cites Numerical methods for unconstrained optimization and nonlinear equations.

Higher order Jacobi method for solving system of linear equations Numerical methods for unconstrained optimization and nonlinear equations

Reference 9

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Observation ebd62da9-cccf-4646-bbc8-2a69091644e9 · outbound

This paper cites Modelling, simulation, and optimisation of agrivoltaic systems: a comprehensive review.

Higher order Jacobi method for solving system of linear equations Modelling, simulation, and optimisation of agrivoltaic systems: a comprehensive review

Reference 10

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Observation fd2a437e-9b3c-45a7-913a-85e4351b06e9 · outbound

This paper cites Direct Methods for Space Matrices.

Higher order Jacobi method for solving system of linear equations Direct Methods for Space Matrices

Reference 11

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This paper cites Error analysis of direct methods of matrix inversion.

Higher order Jacobi method for solving system of linear equations Error analysis of direct methods of matrix inversion

Reference 12

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Observation 39c16d13-ef05-43d4-9400-51a84905d34e · outbound

This paper cites Recent advances in direct methods for solving unsymmetric sparse systems of linear equations.

Higher order Jacobi method for solving system of linear equations Recent advances in direct methods for solving unsymmetric sparse systems of linear equations

Reference 13

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Higher order Jacobi method for solving system of linear equations Mathematicians of gaussian elimination

Reference 14

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Higher order Jacobi method for solving system of linear equations The simplex method of linear programming using lu decomposition

Reference 15

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Higher order Jacobi method for solving system of linear equations Iterative analysis

Reference 16

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Higher order Jacobi method for solving system of linear equations Applied iterative methods

Reference 17

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Higher order Jacobi method for solving system of linear equations Iterative methods for solving matrix equations

Reference 18

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Observation 98376e8f-74c1-438f-ac1d-b8f9d0ee36ef · outbound

This paper cites The jacobi and gauss–seidel-type iteration methods for the matrix equation axb= c.

Higher order Jacobi method for solving system of linear equations The jacobi and gauss–seidel-type iteration methods for the matrix equation axb= c

Reference 19

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Observation c040ef89-405a-4430-808e-f9e68e1a53bd · outbound

This paper cites A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations.

Higher order Jacobi method for solving system of linear equations A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations

Reference 20

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Higher order Jacobi method for solving system of linear equations Conjugate gradient methods

Reference 21

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Higher order Jacobi method for solving system of linear equations Conjugate gradient method

Reference 22

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This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equa- tions.

Higher order Jacobi method for solving system of linear equations Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equa- tions

Reference 23

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This paper cites Scientific machine learning through physics–informed neural networks: Where we are and what’s next.

Higher order Jacobi method for solving system of linear equations Scientific machine learning through physics–informed neural networks: Where we are and what’s next

Reference 24

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Observation 1322c109-2ce2-43ea-a33e-d3e37094e92a · outbound

This paper cites Physics-informed neural networks (pinns) for fluid mechanics: A review.

Higher order Jacobi method for solving system of linear equations Physics-informed neural networks (pinns) for fluid mechanics: A review

Reference 25

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Higher order Jacobi method for solving system of linear equations Physics-informed machine learning

Reference 26

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Source-reported events for the cited work

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Observation ae154959-70df-4666-93b1-2e5b278f6d15 · outbound

This paper cites Efficient training of physics- informed neural networks via importance sampling.

Higher order Jacobi method for solving system of linear equations Efficient training of physics- informed neural networks via importance sampling

Reference 27

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Source-reported events for the cited work

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Higher order Jacobi method for solving system of linear equations Convergence of matrix iterations subject to diagonal dominance

Reference 28

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This paper cites On the convergence of the iterative methods.Numerical Heat Transfer, Part B: Fundamentals, 81(1-6):1–13, 2022.

Higher order Jacobi method for solving system of linear equations On the convergence of the iterative methods.Numerical Heat Transfer, Part B: Fundamentals, 81(1-6):1–13, 2022

Reference 29

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Observation 1834eeb4-b5a6-4be0-b7d3-f5eda04b9975 · outbound

This paper cites Verified cor- rectness, accuracy, and convergence of a stationary iterative linear solver: Jacobi method.

Higher order Jacobi method for solving system of linear equations Verified cor- rectness, accuracy, and convergence of a stationary iterative linear solver: Jacobi method

Reference 30

Resolution
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This paper cites Numerical solutions to poisson equations using the finite-difference method [education column].

Higher order Jacobi method for solving system of linear equations Numerical solutions to poisson equations using the finite-difference method [education column]

Reference 31

Resolution
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Observation 26fdacde-1444-494a-b389-bc93be573b3d · outbound

This paper cites A new adaptive mesh refinement data structure with an application to detonation.

Higher order Jacobi method for solving system of linear equations A new adaptive mesh refinement data structure with an application to detonation

Reference 32

Resolution
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This paper cites Distributed source scheme to solve the classical form of poisson equation using 3-d finite-difference method for improved accuracy and unrestricted source position.

Higher order Jacobi method for solving system of linear equations Distributed source scheme to solve the classical form of poisson equation using 3-d finite-difference method for improved accuracy and unrestricted source position

Reference 33

Resolution
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Observation 53035402-8b4f-48ba-866b-d1c5b176fba5 · outbound

This paper cites Distributed source scheme for poisson equation using finite element method.

Higher order Jacobi method for solving system of linear equations Distributed source scheme for poisson equation using finite element method

Reference 34

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Source-reported events for the cited work

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Observation e045c703-3d35-480d-9e41-d7c1600c86d0 · outbound

This paper cites The computational complexity of some problems of linear algebra.

Higher order Jacobi method for solving system of linear equations The computational complexity of some problems of linear algebra

Reference 35

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:01.251143Z digest=sha256:b846cdadb5f64a29db6fd5941dc16fa579e58b800541dcd8298bfea6530deebf

Observation 1aee294a-1d82-4df1-ac4d-561dfb01a64f · outbound

This paper cites Matrix computations.

Higher order Jacobi method for solving system of linear equations Matrix computations

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T14:58:01.312374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:58:01.312374Z digest=sha256:041c1156dc3b43ed6c06452d519fc88bbe0d87de14b8db3e429dbaa40b84c586

Observation c05d4588-a89a-483d-8025-41b5e7cf48a2 · outbound

This paper cites Papadimitriou.

Higher order Jacobi method for solving system of linear equations Papadimitriou

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:07.118454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:01.367267Z digest=sha256:dd4a3dbc0f8575fb721b35d48379eebbe5c10173a4a0bcf2919d0215a4f0e016

Observation 4fd9977b-638c-4481-a61b-ab69dd26a96b · outbound

This paper cites Joint conjugate gradient and jacobi iteration based low complexity precoding for massive mimo systems.

Higher order Jacobi method for solving system of linear equations Joint conjugate gradient and jacobi iteration based low complexity precoding for massive mimo systems

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:06.958712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:01.426337Z digest=sha256:5ddd54bffd0d6c5d7bb83d9a7bd4e4538e56f59019d2836c297b471feb9ac7c1

Observation 30afc67f-4a2b-4fb6-becb-90828d60d434 · outbound

This paper cites Conjugate gradient methods for partial differential equations.

Higher order Jacobi method for solving system of linear equations Conjugate gradient methods for partial differential equations

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:06.777020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:01.462667Z digest=sha256:55402bba5d47a73c048780c840ecfae9830e90c829f7fb204a56d366978a5560

Observation eb88924d-f4e7-46a2-adb6-1bba4636003a · outbound

This paper cites Multigrid methods.

Higher order Jacobi method for solving system of linear equations Multigrid methods

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:06.464571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:01.469141Z digest=sha256:1546fe3311c75a7f487adde5dcc2c6f598e1e91d411f6c28f024c5fbe5338f6c

Observation 2a766dc1-979d-4ad4-8ca4-148096272d9e · outbound

This paper cites Im- plementation of strassen’s algorithm for matrix multiplication.

Higher order Jacobi method for solving system of linear equations Im- plementation of strassen’s algorithm for matrix multiplication

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:06.279881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:01.615451Z digest=sha256:4ea29ef6adab5c340ec5254ffef9600e62800ce1a1805139b6501c6193b31d22

Observation d537c45d-3244-4098-9b95-4192bff3f185 · outbound

This paper cites Alphaevolve: A coding agent for scientific and algorithmic discovery.

Higher order Jacobi method for solving system of linear equations Alphaevolve: A coding agent for scientific and algorithmic discovery

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:06.032516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:01.737795Z digest=sha256:15f5809d57826f10ef9dcb726cb67e5579d0124b77a6047e8dce948ef9586a9b

Observation 001d18ac-a19b-4be2-82d2-585d133e50a7 · outbound

This paper cites On the asymptotic complexity of matrix multiplication.

Higher order Jacobi method for solving system of linear equations On the asymptotic complexity of matrix multiplication

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:05.808433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:01.839370Z digest=sha256:fd32a3a48433164b553961f9d721279d5f316a79ab393693babc862ebea16680

Observation 3adcf454-527a-4549-b888-4fc1d6e7f786 · outbound

This paper cites Multiplying matrices faster than coppersmith-winograd.

Higher order Jacobi method for solving system of linear equations Multiplying matrices faster than coppersmith-winograd

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:05.586670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:01.921765Z digest=sha256:633247e49401670cf1409994f5ccf96ba804997d9622a2e90e06e4699fe5956f

Observation 5721b1d9-982a-4c5c-900f-f90bab66256c · outbound

This paper cites A high-performance matrix-multiplication algorithm on a distributed-memory parallel computer, using overlapped communication.

Higher order Jacobi method for solving system of linear equations A high-performance matrix-multiplication algorithm on a distributed-memory parallel computer, using overlapped communication

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:05.432251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:02.026949Z digest=sha256:9bc7a6dae07a187ba6fec5766931258306b0edb3f21013ce2378a7f0b4434b64

Observation b8063e98-fe97-4dae-834e-ee756d864dd8 · outbound

This paper cites A new parallel matrix multiplication algorithm on distributed-memory concurrent com- puters.

Higher order Jacobi method for solving system of linear equations A new parallel matrix multiplication algorithm on distributed-memory concurrent com- puters

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:05.260167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:02.204815Z digest=sha256:344cd2e03fc2970b8398556db90855e87bee5f851800e4a882db01972c7e2e6c

Observation e73c0d28-0d3c-4714-97c6-50de6ad36ba2 · outbound

This paper cites an unresolved cited work.

Higher order Jacobi method for solving system of linear equations Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:58:05.095442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:02.339364Z digest=sha256:7a3e5814230a141453e8247e02684560b83d2c1120c845f22c7729706bff662b

Observation 0189e321-f869-4df5-9247-3dbea2ef8d6f · outbound

This paper cites Optimization of matrix-matrix multiplication algorithm for matrix-panel multiplication on intel knl.

Higher order Jacobi method for solving system of linear equations Optimization of matrix-matrix multiplication algorithm for matrix-panel multiplication on intel knl

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:04.976211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:02.436955Z digest=sha256:e2fceddc33e3a9fafb9ddc6f4bee860245433c5b8ceae8b7e28ce7849980a4a6

Observation d54e26bd-483f-442f-908f-47b4ee7c8c8f · outbound

This paper cites Consequences of the Moosbauer-Poole Algorithms.

Higher order Jacobi method for solving system of linear equations Consequences of the Moosbauer-Poole Algorithms

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-07T14:58:02.520736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:58:02.520736Z digest=sha256:873e89aac5302f82ec32542c2b9b224ef1192b10313974d42a161ae8d2d1d21a

Observation 2229cd31-53fc-44a0-8fdc-ab615c8e2aff · outbound

This paper cites Sparsity in deep learning: Pruning and growth for efficient inference and training in neural networks.

Higher order Jacobi method for solving system of linear equations Sparsity in deep learning: Pruning and growth for efficient inference and training in neural networks

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-07T14:58:02.680959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:58:02.680959Z digest=sha256:56fbbd27774eb16e92f96cd32567aaae91e8421304073ee9f756e2856f3f3512

Observation 600ae7b9-ef24-4711-a7c1-c000470d4a3a · outbound

This paper cites A survey on deep neural network pruning: Taxon- omy, comparison, analysis, and recommendations.

Higher order Jacobi method for solving system of linear equations A survey on deep neural network pruning: Taxon- omy, comparison, analysis, and recommendations

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:04.812572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:02.793617Z digest=sha256:37a26ece39158c08e84873c632d3fa010e21c08647b23134de9e0397981e5774

Observation 602e8390-0edf-4b21-885f-8cf1232fb9d0 · outbound

This paper cites Tilespgemm: a tiled algorithm for parallel sparse general matrix-matrix multiplication on gpus.

Higher order Jacobi method for solving system of linear equations Tilespgemm: a tiled algorithm for parallel sparse general matrix-matrix multiplication on gpus

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:04.614565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:02.863523Z digest=sha256:59c46da72fc2a5e1edd26fa2a8ff5749c03b602d4c6db22cf2411a957f32bf58

Observation 53d8feb5-e0ba-4494-a8e4-4ba0ed071e12 · outbound

This paper cites Howie Huang.

Higher order Jacobi method for solving system of linear equations Howie Huang

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:04.343753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:02.921379Z digest=sha256:d3e74e568b2d612d74cc77b1232dadf89c7be8554f19c3db75763edc41573dba

Observation a2b10202-5f2f-433c-82ae-2a810e9ea265 · outbound

This paper cites Parallel photonic acceleration processor for matrix–matrix multiplication.

Higher order Jacobi method for solving system of linear equations Parallel photonic acceleration processor for matrix–matrix multiplication

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:04.026178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:02.958666Z digest=sha256:db91e39f84d83984b24053c555f099a3dac0bcccd3d9d327e55a107788b79b0e

Observation 550a5bea-c6d9-44ed-8b1d-ddf2b230ef8f · outbound

This paper cites Inter- pretable machine learning: Fundamental principles and 10 grand challenges.

Higher order Jacobi method for solving system of linear equations Inter- pretable machine learning: Fundamental principles and 10 grand challenges

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:03.773773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:03.118556Z digest=sha256:336e901a64da538f6ac0fe9e5787128ef2b6cde582d880dc2193b13e63525221

Observation bf4b3fd7-07bc-4e0b-9fcd-637f116ee0dc · outbound

This paper cites Interpretable machine learning for knowledge generation in heterogeneous catalysis.

Higher order Jacobi method for solving system of linear equations Interpretable machine learning for knowledge generation in heterogeneous catalysis

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:58:03.528545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T14:58:03.239462Z digest=sha256:822c3c3b16ece9f822b5844152656d36e402fbcb8e2dfc65c8352d10071788aa

Pith citing papers

No inbound Pith citation observations are available.