Paper Citation Record · LEDGER

Mixed precision Newton's method for optimization

As of 15 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2607.04828.

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

pith.paper-citation-record.v1
2607.04828 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T12:52:28.654949Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact12
verified fuzzy0
unresolved26
parse uncertain0
malformed identifier5
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External citation measurements

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Outbound references

Observation 0bfc68d1-b081-4195-8fd6-9827c4913324 · outbound

This paper cites nvidia, may 2024.

Mixed precision Newton's method for optimization nvidia, may 2024

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-11T12:52:28.654949Z

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Observation 1534c31a-cf4c-4a5e-9c8a-4cf0e1e31a5b · outbound

This paper cites IEEE Std 754-2019 (Revision of IEEE 754-2008), pages 1–84, July 2019.

Mixed precision Newton's method for optimization IEEE Std 754-2019 (Revision of IEEE 754-2008), pages 1–84, July 2019

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-11T12:52:28.654949Z

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Observation 042cec3e-2a6e-4a5e-8a14-aeed5903a7b0 · outbound

This paper cites Forward and backward error bounds for a mixed precision preconditioned conjugate gradient algorithm, 2025.

Mixed precision Newton's method for optimization Forward and backward error bounds for a mixed precision preconditioned conjugate gradient algorithm, 2025

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-11T12:52:28.654949Z

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Observation 00b8cbb8-d609-4b56-877e-0763d4435619 · outbound

This paper cites an unresolved cited work.

Mixed precision Newton's method for optimization Unresolved cited work

Reference 4

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Observation aa25efb8-cc57-40ba-8a34-31e3438764b6 · outbound

This paper cites A Levenberg–Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients.

Mixed precision Newton's method for optimization A Levenberg–Marquardt method for large nonlinear least-squares problems with dynamic accuracy in functions and gradients

Reference 5

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Observation 6d8ae56e-f454-4f9e-90e5-538d38044fcf · outbound

This paper cites Adaptive cubic regularization methods with dynamic inexact hessian information and applica- tions to finite-sum minimization.

Mixed precision Newton's method for optimization Adaptive cubic regularization methods with dynamic inexact hessian information and applica- tions to finite-sum minimization

Reference 6

Resolution: verified exact; doi, observed 2026-07-11T12:58:01.021494Z

Source-reported events for the cited work

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Observation 4199e5eb-118b-4d8a-a5df-6c284d20cd9a · outbound

This paper cites Subsampled inexact Newton methods for minimizing large sums of convex functions.

Mixed precision Newton's method for optimization Subsampled inexact Newton methods for minimizing large sums of convex functions

Reference 7

Resolution: verified exact; doi, observed 2026-07-11T12:58:00.978957Z

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.

Observation 5981e44a-ccf1-4ed0-a5e6-1f7329e2e284 · outbound

This paper cites Inexact Newton methods with matrix approximation by sampling for nonlinear least-squares and systems, August 2023.

Mixed precision Newton's method for optimization Inexact Newton methods with matrix approximation by sampling for nonlinear least-squares and systems, August 2023

Reference 8

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Observation 4fd39a2a-79a1-4826-b656-aee44a2e4ce4 · outbound

This paper cites an unresolved cited work.

Mixed precision Newton's method for optimization Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-07-11T12:58:00.973664Z

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Observation 7ec42522-d7a9-47a9-ae32-73c2b4f1be90 · outbound

This paper cites Convex Optimization.

Mixed precision Newton's method for optimization Convex Optimization

Reference 10

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Observation 744770d5-ba0f-42df-bbbb-d86fe16c6bc0 · outbound

This paper cites an unresolved cited work.

Mixed precision Newton's method for optimization Unresolved cited work

Reference 11

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Observation 5ddf8437-f389-4231-ac13-dc27d8e119ca · outbound

This paper cites an unresolved cited work.

Mixed precision Newton's method for optimization Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-07-11T12:58:00.992246Z

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

Observation 40cf9f00-27ee-4255-91a5-036bf8fe94e1 · outbound

This paper cites Evaluation Complexity of Algorithms for Nonconvex Optimization: Theory, Computation and Perspec- tives.

Mixed precision Newton's method for optimization Evaluation Complexity of Algorithms for Nonconvex Optimization: Theory, Computation and Perspec- tives

Reference 13

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Observation 7633dcdc-7250-4222-a091-9bb7c1696302 · outbound

This paper cites an unresolved cited work.

Mixed precision Newton's method for optimization Unresolved cited work

Reference 14

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Observation bd6f7f69-6547-4885-909e-2a54e1d4b184 · outbound

This paper cites an unresolved cited work.

Mixed precision Newton's method for optimization Unresolved cited work

Reference 15

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Observation fd9cdeb3-eead-4dc3-9f04-f80d74243401 · outbound

This paper cites Dembo, Stanley C.

Mixed precision Newton's method for optimization Dembo, Stanley C

Reference 16

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Observation 842156a4-cbc1-44c9-847a-489b9afa5ce9 · outbound

This paper cites an unresolved cited work.

Mixed precision Newton's method for optimization Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-07-11T12:58:00.998819Z

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Observation 8b6d4343-21cb-4ebd-acb2-35d51a3ecd10 · outbound

This paper cites Dolan and Jorge J.

Mixed precision Newton's method for optimization Dolan and Jorge J

Reference 18

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Observation a45e4f97-4a7b-40cc-8e33-093e831e4ddc · outbound

This paper cites Gratton and Ph.

Mixed precision Newton's method for optimization Gratton and Ph

Reference 19

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Observation baee3a97-8317-484e-9019-8b4849846f31 · outbound

This paper cites Gratton and Ph.

Mixed precision Newton's method for optimization Gratton and Ph

Reference 20

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Observation aa710f04-62a4-4f87-8432-bbf5f9ce8022 · outbound

This paper cites Hestenes and Eduard Stiefel.

Mixed precision Newton's method for optimization Hestenes and Eduard Stiefel

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-11T12:52:28.654949Z

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Observation 1f620ffd-b9da-46a8-9a87-10a04f4233c2 · outbound

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Mixed precision Newton's method for optimization Unresolved cited work

Reference 22

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Observation b4821342-bc4c-4e51-9be9-df947a0cf169 · outbound

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Mixed precision Newton's method for optimization Unresolved cited work

Reference 23

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Observation de6527a1-bafb-478e-a5e8-4bad98589575 · outbound

This paper cites Higham and Theo Mary.

Mixed precision Newton's method for optimization Higham and Theo Mary

Reference 24

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Observation 474317d5-67ba-4c16-abf0-ac640c5c5eba · outbound

This paper cites Higham and Theo Mary.

Mixed precision Newton's method for optimization Higham and Theo Mary

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-11T12:52:28.654949Z

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Observation bc8b85bb-0e5f-46d0-951a-70f2cc7adf8f · outbound

This paper cites Horn and Charles R.

Mixed precision Newton's method for optimization Horn and Charles R

Reference 26

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Observation 353cfedd-68b3-45e2-a7ba-f52681b262a0 · outbound

This paper cites an unresolved cited work.

Mixed precision Newton's method for optimization Unresolved cited work

Reference 27

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Observation 73b436c5-a989-4d0e-b970-e6f8644dc010 · outbound

This paper cites an unresolved cited work.

Mixed precision Newton's method for optimization Unresolved cited work

Reference 28

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Observation 5b14b95e-6af6-4e39-af4b-9fc0a9f0974c · outbound

This paper cites Newton's Method in Three Precisions.

Mixed precision Newton's method for optimization Newton's Method in Three Precisions

Reference 29

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Observation 802c81a9-8588-4e29-9856-b0458cc0957e · outbound

This paper cites Lancaster.

Mixed precision Newton's method for optimization Lancaster

Reference 30

Resolution: verified exact; doi, observed 2026-07-11T12:58:01.035553Z

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Observation 6bb73288-c420-40e6-86dc-8b41c5c499f1 · outbound

This paper cites Practical quasi-newton methods for solving nonlinear systems.

Mixed precision Newton's method for optimization Practical quasi-newton methods for solving nonlinear systems

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-11T12:52:28.654949Z

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Observation 0a3591a0-9b04-409c-bdd8-56a7c123afc1 · outbound

This paper cites A multi-precision quadratic regularization method for unconstrained optimization with rounding error analysis.

Mixed precision Newton's method for optimization A multi-precision quadratic regularization method for unconstrained optimization with rounding error analysis

Reference 32

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Mixed precision Newton's method for optimization Unresolved cited work

Reference 33

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Observation fd2c17c1-bd67-457a-a78b-826f8a7ed6c1 · outbound

This paper cites A Structured Tour of Optimization with Finite Differences.

Mixed precision Newton's method for optimization A Structured Tour of Optimization with Finite Differences

Reference 34

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Observation 20899bc9-f3bb-4a36-be13-047808bc27de · outbound

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Mixed precision Newton's method for optimization Unresolved cited work

Reference 35

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Observation 6434424f-6aa3-4005-a02f-6098f1df5b06 · outbound

This paper cites Newton’s method in floating point arithmetic and iterative refinement of generalized eigenvalue problems.

Mixed precision Newton's method for optimization Newton’s method in floating point arithmetic and iterative refinement of generalized eigenvalue problems

Reference 36

Resolution: verified exact; doi, observed 2026-07-11T12:58:01.023979Z

Source-reported events for the cited work

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Observation 914e03bb-c9ea-489c-9738-f09e0c84a007 · outbound

This paper cites Lower and upper bounds of the con- vergence rate of gradient methods with composite noise in gradient, 2026.

Mixed precision Newton's method for optimization Lower and upper bounds of the con- vergence rate of gradient methods with composite noise in gradient, 2026

Reference 37

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Observation 70fdab8f-02ad-4de4-830e-843424a76ec6 · outbound

This paper cites Wo´ zniakowski.

Mixed precision Newton's method for optimization Wo´ zniakowski

Reference 38

Resolution: verified exact; doi, observed 2026-07-11T12:58:00.987041Z

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Observation b5eb6764-102d-40d9-82c4-87837bc2409d · outbound

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Mixed precision Newton's method for optimization Unresolved cited work

Reference 39

Resolution: verified exact; doi, observed 2026-07-11T12:58:01.011717Z

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Observation dd69a28d-b0b3-4692-b006-31406a679dba · outbound

This paper cites Yao, Peng Xu, Fred Roosta, Stephen J.

Mixed precision Newton's method for optimization Yao, Peng Xu, Fred Roosta, Stephen J

Reference 40

Resolution: verified exact; doi, observed 2026-07-11T12:58:00.986304Z

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Observation 33190c68-e0de-4c5e-bd06-49fe8424a69c · outbound

This paper cites Inexact nonconvex Newton-type methods.

Mixed precision Newton's method for optimization Inexact nonconvex Newton-type methods

Reference 41

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Observation c1769c62-dd5b-40f0-b185-9603b7270a6d · outbound

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Mixed precision Newton's method for optimization Unresolved cited work

Reference 42

Resolution: verified exact; doi, observed 2026-07-11T12:58:00.965606Z

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Observation 0d5dadd0-1df8-4a16-904d-e1bfa44d9168 · outbound

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Mixed precision Newton's method for optimization Unresolved cited work

Reference 43

Resolution: verified exact; doi, observed 2026-07-11T12:58:01.003898Z

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

Pith citing papers

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