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Paper Citation Record · LEDGER

On the construction of a gradient method of quadratic optimization, optimal from the point of view of minimizing the distance to the exact solution

As of 8 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2506.04866.

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

pith.paper-citation-record.v1
2506.04866 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:44:31.060172Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

8 of 8 outbound references displayed

  • verified exact2
  • verified fuzzy6
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 09718049-7558-4a05-a7a7-285c4b7ba070 · outbound

This paper cites Оптимизационный метод решения обратной задачи термоакустики // Сибирские электронные математические известия, 2011, Т.

On the construction of a gradient method of quadratic optimization, optimal from the point of view of minimizing the distance to the exact solution Оптимизационный метод решения обратной задачи термоакустики // Сибирские электронные математические известия, 2011, Т

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:33.540935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:44:29.972668Z digest=sha256:8fc562a5cad4d556905d894aa0943299064445e32983ff3dc11de04f27c21b8b

Observation 645f8a0a-6398-44ed-9673-a19ddb70dfd5 · outbound

This paper cites Элементы теории функций и функционального анализа // М.: ФИЗМАТЛИТ, 2004.

On the construction of a gradient method of quadratic optimization, optimal from the point of view of minimizing the distance to the exact solution Элементы теории функций и функционального анализа // М.: ФИЗМАТЛИТ, 2004

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:33.367632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:44:30.077401Z digest=sha256:2342b97abd8140764df95c24280cfcfec08181ae25405728a2306f0b0c218939

Observation d43dcaa6-c916-4887-a6f7-dac8a04bc4f2 · outbound

This paper cites Применение градиентных методов оптимизации для решения задачи Коши для уравнения Гельмгольца // Компьютерные исследования и моделирование, 2022, т.

On the construction of a gradient method of quadratic optimization, optimal from the point of view of minimizing the distance to the exact solution Применение градиентных методов оптимизации для решения задачи Коши для уравнения Гельмгольца // Компьютерные исследования и моделирование, 2022, т

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:33.062929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:44:30.293074Z digest=sha256:5136d8426cff3b846c66d4eaec9d183038e51000841bbdd7fca16b294919f4fd

Observation 79718f6b-4c78-447f-bf3b-cf191b109bc0 · outbound

This paper cites О модификации метода покомпонентного спуска для решения некоторых обратных задач математической физики // Компьютерные исследования и моделирование, 2023, т.

On the construction of a gradient method of quadratic optimization, optimal from the point of view of minimizing the distance to the exact solution О модификации метода покомпонентного спуска для решения некоторых обратных задач математической физики // Компьютерные исследования и моделирование, 2023, т

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:32.873589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:44:30.446682Z digest=sha256:7921637cd4320f9d73a4d6d51fd921b61b6e622140ffa90ecb275cf475a56a61

Observation 832ac142-fc0c-4503-a001-1e8649163e6e · outbound

This paper cites Минимизация негладких функционалов // Журнал вычислительной математики и математической физики, 1969, т.

On the construction of a gradient method of quadratic optimization, optimal from the point of view of minimizing the distance to the exact solution Минимизация негладких функционалов // Журнал вычислительной математики и математической физики, 1969, т

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:32.641265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:44:30.592188Z digest=sha256:47818f19e2c9557e816a335a94cf5d57eae038fee07b412aee724e448400615e

Observation 8eba5296-f12f-41b8-a70d-e49da117685b · outbound

This paper cites Polyak Minorant Method for Convex Optimization.

On the construction of a gradient method of quadratic optimization, optimal from the point of view of minimizing the distance to the exact solution Polyak Minorant Method for Convex Optimization

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:44:31.869054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:44:30.732726Z digest=sha256:c28e347f7d2e2910db22b20067d4f8dec6b4e8f3b7489328a15abd3968726c9c

Observation f907969e-3be9-462e-aeb5-6f42b875cf25 · outbound

This paper cites Quadratic minimization: from conjugate gradient to an adaptive Heavy-ball method with Polyak step-sizes.

On the construction of a gradient method of quadratic optimization, optimal from the point of view of minimizing the distance to the exact solution Quadratic minimization: from conjugate gradient to an adaptive Heavy-ball method with Polyak step-sizes

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:44:31.432355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:44:30.900562Z digest=sha256:67ce9c20366a41b2fd3fa5c9db1c9b042ebffa3d1f060f4c20ebc43de0ee3025

Observation c2ede430-1fea-4f21-9dec-4a2774d71bf3 · outbound

This paper cites Inverse and ill-posed problems: theory and applications // Berlin: Walter de Gruyter GmbH & Co, 2012.

On the construction of a gradient method of quadratic optimization, optimal from the point of view of minimizing the distance to the exact solution Inverse and ill-posed problems: theory and applications // Berlin: Walter de Gruyter GmbH & Co, 2012

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:44:32.213809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T10:44:31.060172Z digest=sha256:c14a481b0c51fc276ca3fc84407b586244d98d0d7d570f34cb4d1e12f1d25e34

Pith citing papers

No inbound Pith citation observations are available.