Paper Citation Record · LEDGER

Scalable higher-order nonlinear solvers via higher-order automatic differentiation

As of 11 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:2501.16895.

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

pith.paper-citation-record.v1
2501.16895 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T05:58:35.689677Z

measured 53 of 53 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T01:34:40.453715Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T01:35:36.316685Z

Reference resolution

52 of 52 outbound references displayed

verified exact8
verified fuzzy19
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External citation measurements

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Outbound references

Observation 2b2b5ee3-afeb-40ae-a046-482e77c91f79 · outbound

This paper cites 2024, https://github.com/JuliaDiff/SparseDiffTools.jl (ac- cessed 2024-12-09).

Scalable higher-order nonlinear solvers via higher-order automatic differentiation 2024, https://github.com/JuliaDiff/SparseDiffTools.jl (ac- cessed 2024-12-09)

Reference 1

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Observation 61cfbed6-1cc0-4902-89c4-12ad64412b58 · outbound

This paper cites 2024, https://github.com/SciML/LinearSolve.jl (accessed 2024-12- 09).

Scalable higher-order nonlinear solvers via higher-order automatic differentiation 2024, https://github.com/SciML/LinearSolve.jl (accessed 2024-12- 09)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:58:37.997808Z

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Observation 3a101d93-61cc-4218-8aa6-b5d361f54617 · outbound

This paper cites Albeanu , On the generalized halley method for solving nonlinear equations , ROMAI J, 4 (2008), pp.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Albeanu , On the generalized halley method for solving nonlinear equations , ROMAI J, 4 (2008), pp

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:58:37.984236Z

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Observation 3cf7f697-f800-4ec6-bf2f-5e51fd310590 · outbound

This paper cites Alefeld, On the convergence of halley’s method , The American Mathematical Monthly, 88 (1981), pp.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Alefeld, On the convergence of halley’s method , The American Mathematical Monthly, 88 (1981), pp

Reference 4

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This paper cites an unresolved cited work.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 5

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This paper cites an unresolved cited work.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 6

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Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 7

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Observation d66e5ada-3abf-4d55-b707-f63c056410fc · outbound

This paper cites Bettencourt, M.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Bettencourt, M

Reference 8

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Observation bf6c6aa6-958d-4b16-b818-e35125eb5934 · outbound

This paper cites Fast Flexible Function Dispatch in Julia.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Fast Flexible Function Dispatch in Julia

Reference 9

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Observation 8e13c036-64a7-4369-8279-bdcc9b60e994 · outbound

This paper cites Bezanson, A.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Bezanson, A

Reference 10

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Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 11

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Observation ea20b23c-4e5d-4ad2-8261-6e91f4341a95 · outbound

This paper cites Chandrasekhar, Radiative transfer, Courier Corporation, 2013.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Chandrasekhar, Radiative transfer, Courier Corporation, 2013

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:58:37.587860Z

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Observation 1098d3d4-a1d2-4ce0-9b76-9e6b125b08b2 · outbound

This paper cites Cuyt and P.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Cuyt and P

Reference 13

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Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 14

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Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 15

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Observation 2cca3e43-9fef-4fe8-8d43-2ed081973336 · outbound

This paper cites Gal ´antai, The theory of newton ’s method, Journal of Computational and Applied Mathe- matics, 124 (2000), pp.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Gal ´antai, The theory of newton ’s method, Journal of Computational and Applied Mathe- matics, 124 (2000), pp

Reference 16

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Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 17

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Observation 380358a5-d43d-4323-af48-6cdede8533dd · outbound

This paper cites Germani, C.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Germani, C

Reference 18

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Observation 2f14536b-20ca-4030-b86e-0bd66968ccc7 · outbound

This paper cites Giering, T.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Giering, T

Reference 19

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This paper cites Gowda, Y.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Gowda, Y

Reference 20

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This paper cites Gowda, Y.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Gowda, Y

Reference 21

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Observation 38ea2f27-f6c1-44c7-8aee-0ddd392c9cce · outbound

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Scalable higher-order nonlinear solvers via higher-order automatic differentiation Hill and G

Reference 22

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Observation 2264d4b5-dbbe-4c39-bb55-a6b233d1eac2 · outbound

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Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 23

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Reference 24

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Observation d323c105-4cd1-4cb1-b397-01e6e583827d · outbound

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Reference 25

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Reference 26

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Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 27

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Observation db545814-2cad-419f-b091-31ecf8982688 · outbound

This paper cites Knoll and D.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Knoll and D

Reference 28

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Observation 2220b78b-258c-4826-8cd0-e52f908a70b1 · outbound

This paper cites Kunkel, Differential-algebraic equations: analysis and numerical solution , vol.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Kunkel, Differential-algebraic equations: analysis and numerical solution , vol

Reference 29

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Observation 3d36004a-7421-4247-b0fc-67d3302668be · outbound

This paper cites Kværnø , Singly Diagonally Implicit Runge–Kutta Methods with an Explicit First Stage, BIT Numerical Mathematics, 44 (2004), pp.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Kværnø , Singly Diagonally Implicit Runge–Kutta Methods with an Explicit First Stage, BIT Numerical Mathematics, 44 (2004), pp

Reference 30

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Scalable higher-order nonlinear solvers via higher-order automatic differentiation Madhu and J

Reference 31

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Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 32

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Reference 33

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Observation c72dddb9-f8e2-405b-b519-35fe0a001fab · outbound

This paper cites Ogbereyivwe, O.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Ogbereyivwe, O

Reference 34

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Observation 7fbae8ce-28d7-4a8f-860d-2ed91c5887db · outbound

This paper cites NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia

Reference 35

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Observation 9b32bb00-28c2-4de1-8924-66f80f6a5239 · outbound

This paper cites Potra, Nondiscrete induction and iterative processes , Pitman Publ, (1984).

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Potra, Nondiscrete induction and iterative processes , Pitman Publ, (1984)

Reference 36

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Observation 0e2e9d85-e008-4c0c-9aaa-645f0a0d2f7b · outbound

This paper cites Prigogine and R.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Prigogine and R

Reference 37

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Observation 454c4faa-f9c9-44e4-92dc-e7d849d78f11 · outbound

This paper cites Rackauckas and Q.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Rackauckas and Q

Reference 38

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Observation d0eb043c-6966-45e2-9111-32e6b605a360 · outbound

This paper cites Forward-Mode Automatic Differentiation in Julia.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Forward-Mode Automatic Differentiation in Julia

Reference 39

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Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 40

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Observation d77d9c26-3ab8-4418-a61c-a131309a7720 · outbound

This paper cites an unresolved cited work.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 41

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Observation cbb8b6dd-b1fa-4e06-804d-712ac5090bf1 · outbound

This paper cites an unresolved cited work.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 42

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Observation 3eb4f213-aba5-47c4-8422-2720585e9bc2 · outbound

This paper cites Singh and J.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Singh and J

Reference 43

Resolution: verified exact; doi, observed 2026-08-10T05:58:35.794035Z

Source-reported events for the cited work

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Observation 567665d0-84a6-43ac-b5fa-7d4ceb02ac1e · outbound

This paper cites Steihaug, Newton and halley are one step apart , Institute for Scientific Computing, (2006).

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Steihaug, Newton and halley are one step apart , Institute for Scientific Computing, (2006)

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:58:36.959953Z

Source-reported events for the cited work

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Observation 8dff5876-47be-4b17-998b-a16d69e8ce27 · outbound

This paper cites an unresolved cited work.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-10T05:58:36.942964Z

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Observation ad71b14a-0975-4204-9afe-87d15f3639ef · outbound

This paper cites Tan, Higher-Order Automatic Differentiation and Its Applications , master’s thesis, Mas- sachusetts Institute of Technology, June 2023, https://dspace.mit.edu/handle/1721.1/ 151501.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Tan, Higher-Order Automatic Differentiation and Its Applications , master’s thesis, Mas- sachusetts Institute of Technology, June 2023, https://dspace.mit.edu/handle/1721.1/ 151501

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:58:36.927575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ea738b4d-430d-4970-8bda-9a02881ea465 · outbound

This paper cites Tan, TaylorDiff.jl, May 2023, https://github.com/JuliaDiff/TaylorDiff.jl (accessed 2023-05- 11).

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Tan, TaylorDiff.jl, May 2023, https://github.com/JuliaDiff/TaylorDiff.jl (accessed 2023-05- 11)

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:58:36.912121Z

Source-reported events for the cited work

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Observation 005a6846-f5b3-420d-ad51-01c178e93ff3 · outbound

This paper cites Vladimirescu, The Spice Book , John Wiley & Sons, Inc., USA, Mar.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Vladimirescu, The Spice Book , John Wiley & Sons, Inc., USA, Mar

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:58:36.896636Z

Source-reported events for the cited work

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Observation 2ad48e47-e401-48d3-a944-8a0139cad45f · outbound

This paper cites W alther and A.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation W alther and A

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T05:58:36.881879Z

Source-reported events for the cited work

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Observation f1d68119-5d83-4fdf-b9c6-0bb8f6980ab4 · outbound

This paper cites White, M.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation White, M

Reference 50

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T05:58:36.032967Z

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Observation d5894f5b-edf4-49f9-ab60-32f59fa68aca · outbound

This paper cites Xiao and H.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Xiao and H

Reference 51

Resolution: verified exact; doi, observed 2026-08-10T05:58:35.779654Z

Source-reported events for the cited work

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Observation 3b2b93aa-fc99-402a-8131-bbf8b807bcd7 · outbound

This paper cites Xiao, New techniques to develop higher order iterative methods for systems of nonlinear equations, Computational and Applied Mathematics, 41 (2022), p.

Scalable higher-order nonlinear solvers via higher-order automatic differentiation Xiao, New techniques to develop higher order iterative methods for systems of nonlinear equations, Computational and Applied Mathematics, 41 (2022), p

Reference 52

Resolution: verified exact; doi, observed 2026-08-10T05:58:35.764224Z

Source-reported events for the cited work

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Pith citing papers

Observation 978d5567-05a3-43bc-8ecd-f1d938585516 · inbound

NOWS: Neural Operator Warm Starts for Accelerating Iterative Solvers cites this paper.

NOWS: Neural Operator Warm Starts for Accelerating Iterative Solvers Scalable higher-order nonlinear solvers via higher-order automatic differentiation

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-18T01:35:36.320041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.