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Paper Citation Record · LEDGER

On the asymptotic convergence and acceleration of gradient methods

As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:1908.07111.

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

pith.paper-citation-record.v1
1908.07111 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:34:46.904443Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

32 of 32 outbound references displayed

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  • verified fuzzy23
  • unresolved8
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e877b908-d25a-415e-b1f2-03d92435bc24 · outbound

This paper cites Akaike , On a successive transformation of probability distributio n and its application to the analysis of the optimum gradient method , Ann.

On the asymptotic convergence and acceleration of gradient methods Akaike , On a successive transformation of probability distributio n and its application to the analysis of the optimum gradient method , Ann

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d505e7b2-9c12-418f-a68a-77bd1665e73a · outbound

This paper cites Barzilai and J.

On the asymptotic convergence and acceleration of gradient methods Barzilai and J

Reference 2

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation bc5fcbd4-ce9b-4362-88a7-90576f73cef9 · outbound

This paper cites an unresolved cited work.

On the asymptotic convergence and acceleration of gradient methods Unresolved cited work

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1ca59960-a165-4402-aeb1-eb812c87022e · outbound

This paper cites Cauchy , M´ ethode g´ en´ erale pour la r´ esolution des systemes d’´ equations simultan´ ees, Comp.

On the asymptotic convergence and acceleration of gradient methods Cauchy , M´ ethode g´ en´ erale pour la r´ esolution des systemes d’´ equations simultan´ ees, Comp

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d354f6c6-12c4-4671-90c7-40980f1aa5f3 · outbound

This paper cites Dai , Alternate step gradient method , Optimization, 52 (2003), pp.

On the asymptotic convergence and acceleration of gradient methods Dai , Alternate step gradient method , Optimization, 52 (2003), pp

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:47.191745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b561f78b-2e10-4f5c-bcdd-484ae1559827 · outbound

This paper cites Dai and R.

On the asymptotic convergence and acceleration of gradient methods Dai and R

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 02422a86-bcef-4d64-93c7-710166536f3c · outbound

This paper cites an unresolved cited work.

On the asymptotic convergence and acceleration of gradient methods Unresolved cited work

Reference 7

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 34964a13-fe62-4f2f-9a35-cc6553af74d8 · outbound

This paper cites Dai and L.-Z.

On the asymptotic convergence and acceleration of gradient methods Dai and L.-Z

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3c717356-7347-454c-86bd-84df9d3c605f · outbound

This paper cites Dai and X.

On the asymptotic convergence and acceleration of gradient methods Dai and X

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c046e29f-cc9a-4f4a-a634-0af9d3c885ab · outbound

This paper cites Dai and Y.-X.

On the asymptotic convergence and acceleration of gradient methods Dai and Y.-X

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:47.147966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8c5c3f4b-fe30-4166-99a2-e0506727850c · outbound

This paper cites Dai and Y.-X.

On the asymptotic convergence and acceleration of gradient methods Dai and Y.-X

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9f31cb36-c237-4676-8f59-502bbee99208 · outbound

This paper cites De Asmundis, D.

On the asymptotic convergence and acceleration of gradient methods De Asmundis, D

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e8063bea-b286-406c-9949-393f2a0014ac · outbound

This paper cites De Asmundis, D.

On the asymptotic convergence and acceleration of gradient methods De Asmundis, D

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d13e725d-8e0d-4293-b0a2-ff15c13a5abf · outbound

This paper cites Di Serafino, V.

On the asymptotic convergence and acceleration of gradient methods Di Serafino, V

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4a4dd6d9-3f23-4d3d-acda-825dad3e851f · outbound

This paper cites an unresolved cited work.

On the asymptotic convergence and acceleration of gradient methods Unresolved cited work

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0f023c56-c500-4d56-b2a3-c3b06b0e9fb3 · outbound

This paper cites an unresolved cited work.

On the asymptotic convergence and acceleration of gradient methods Unresolved cited work

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 849b180d-7e41-49f9-80ab-608c357d1512 · outbound

This paper cites Fletcher , On the Barzilai–Borwein method , Optimization and control with applications, (2005), pp.

On the asymptotic convergence and acceleration of gradient methods Fletcher , On the Barzilai–Borwein method , Optimization and control with applications, (2005), pp

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 17bc194a-6829-4f05-9ca1-887e55c0227f · outbound

This paper cites an unresolved cited work.

On the asymptotic convergence and acceleration of gradient methods Unresolved cited work

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9a8ecdbb-eca2-4583-8287-575f2c2b2202 · outbound

This paper cites Frassoldati, L.

On the asymptotic convergence and acceleration of gradient methods Frassoldati, L

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c56d8adb-3648-4768-b147-8aeec85b2f81 · outbound

This paper cites an unresolved cited work.

On the asymptotic convergence and acceleration of gradient methods Unresolved cited work

Reference 20

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation adca9dc6-051a-4726-9825-6f2f2cef7786 · outbound

This paper cites Gradient methods exploiting spectral properties.

On the asymptotic convergence and acceleration of gradient methods Gradient methods exploiting spectral properties

Reference 21

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9e13f007-8209-45ad-ac44-13390cc42e64 · outbound

This paper cites Huang and H.

On the asymptotic convergence and acceleration of gradient methods Huang and H

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:47.044407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a3b2d5ee-10b4-49c3-9b60-9764c1d666a6 · outbound

This paper cites Huang, H.

On the asymptotic convergence and acceleration of gradient methods Huang, H

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 68456905-406b-41c7-a3a5-b7524031bc02 · outbound

This paper cites Jiang and Y.-H.

On the asymptotic convergence and acceleration of gradient methods Jiang and Y.-H

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ee870706-2863-4f08-ae76-4fde5bc29b13 · outbound

This paper cites Liu, Y.-H.

On the asymptotic convergence and acceleration of gradient methods Liu, Y.-H

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:47.016414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e1cd883c-054c-45c3-b309-3cf988b05726 · outbound

This paper cites Nocedal, A.

On the asymptotic convergence and acceleration of gradient methods Nocedal, A

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:47.007113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c6192c82-2606-43b3-8138-9b683cd92e4f · outbound

This paper cites Pronzato, H.

On the asymptotic convergence and acceleration of gradient methods Pronzato, H

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:46.997582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:46.888393Z digest=sha256:0f27a6da627460802f678262acf4cadb7d9188eeb0a4f4cb2e46139185ed2e34

Observation 851a1a4f-7145-408a-ba04-081587e7247c · outbound

This paper cites Raydan , On the Barzilai and Borwein choice of steplength for the grad ient method , IMA J.

On the asymptotic convergence and acceleration of gradient methods Raydan , On the Barzilai and Borwein choice of steplength for the grad ient method , IMA J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:46.986846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2deabf0a-3364-4732-bc43-0828183a8ffa · outbound

This paper cites Raydan , The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem , SIAM J.

On the asymptotic convergence and acceleration of gradient methods Raydan , The Barzilai and Borwein gradient method for the large scale unconstrained minimization problem , SIAM J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:46.976976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:46.894881Z digest=sha256:f238f64b97143993365a2ea921f74c9b00f9c6dbaaff1d6eee876f9ba889cb71

Observation abc2ebbf-772c-475f-97ea-cfffc75ce8c6 · outbound

This paper cites Yuan , A new stepsize for the steepest descent method , J.

On the asymptotic convergence and acceleration of gradient methods Yuan , A new stepsize for the steepest descent method , J

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:46.967386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:46.897912Z digest=sha256:981f2689a79ceff362f087825870ea46a886a3edc94c737dff66a6efdc02206b

Observation 4f5a862e-735d-4515-ab93-6ade2630fe9e · outbound

This paper cites Yuan , Step-sizes for the gradient method , AMS IP Studies in Advanced Mathematics, 42 (2008), pp.

On the asymptotic convergence and acceleration of gradient methods Yuan , Step-sizes for the gradient method , AMS IP Studies in Advanced Mathematics, 42 (2008), pp

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:34:46.957213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:34:46.901460Z digest=sha256:01ea0b11f9f98f31fa1dde01950f5ba3ac98f9d097be14f60e5823a128d6d20d

Observation cd7257eb-9030-478b-b817-97a17ce78266 · outbound

This paper cites an unresolved cited work.

On the asymptotic convergence and acceleration of gradient methods Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:34:46.947285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Pith citing papers

No inbound Pith citation observations are available.