Paper Citation Record · LEDGER

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces

As of 12 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2608.07839.

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

pith.paper-citation-record.v1
2608.07839 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T01:00:08.455722Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

23 of 23 outbound references displayed

verified exact13
verified fuzzy0
unresolved7
parse uncertain0
malformed identifier3
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e4289cd3-cc50-40cb-85da-08418517c9e9 · outbound

This paper cites an unresolved cited work.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-08-12T01:00:08.777149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 96996e01-7978-471b-aa13-8a27cc2c14b7 · outbound

This paper cites Azmi and K.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Azmi and K

Reference 2

Resolution: verified exact; doi, observed 2026-08-12T01:00:08.761144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation adc0f1ed-a0b5-4808-9f20-b579066524bd · outbound

This paper cites Azmi and K.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Azmi and K

Reference 3

Resolution: verified exact; doi, observed 2026-08-12T01:00:08.744564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 94ed4a50-5231-48ee-b5fa-0df50ae620ce · outbound

This paper cites Barzilai and J.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Barzilai and J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T01:00:08.358194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67f8616c-2f29-4d2e-b276-ea28a7adc45b · outbound

This paper cites an unresolved cited work.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Unresolved cited work

Reference 5

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T01:00:08.810329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 75d1a0d3-74f7-4f2a-a1a5-5dba9221693e · outbound

This paper cites Dai and R.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Dai and R

Reference 6

Resolution: malformed identifier; raw_fallback, observed 2026-08-12T01:00:08.794257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e41b0736-8443-4f8e-97de-156e44a83e6a · outbound

This paper cites an unresolved cited work.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-08-12T01:00:08.718981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4520a477-b357-4942-9a00-4e74358d6e04 · outbound

This paper cites Fletcher.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Fletcher

Reference 9

Resolution: verified exact; doi, observed 2026-08-12T01:00:08.693163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4b75468f-cad8-4707-ad09-97191b3416dd · outbound

This paper cites an unresolved cited work.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Unresolved cited work

Reference 10

Resolution: verified exact; doi, observed 2026-08-12T01:00:08.676413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 412bb95f-1b70-4abc-b3dd-7391d4fb7584 · outbound

This paper cites Friedlander, J.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Friedlander, J

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T01:00:08.391867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83b9e71a-945e-4844-b741-bd537e8bfc57 · outbound

This paper cites Huang, Y.-H.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Huang, Y.-H

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T01:00:08.396500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df37767e-38f9-4aaa-8c1c-32999b89777f · outbound

This paper cites Huang, Y.-H.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Huang, Y.-H

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T01:00:08.401509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c310c9d-5f16-4d95-b752-e9452c2217e8 · outbound

This paper cites Jenkinson.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Jenkinson

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T01:00:08.406323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4692ecc-4f42-42be-98bc-2a087f452c27 · outbound

This paper cites Li and Y.-K.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Li and Y.-K

Reference 15

Resolution: verified exact; doi, observed 2026-08-12T01:00:08.620476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5e33ec34-0e75-409c-8cb0-00d93e560379 · outbound

This paper cites Barzilai-Borwein Fails Superlinear Convergence on an Open Set of Quadratics for Every Dimension $n\geq 4$.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Barzilai-Borwein Fails Superlinear Convergence on an Open Set of Quadratics for Every Dimension $n\geq 4$

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-12T01:00:08.604786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 374f8f6e-b9de-4a8b-88e3-e396dd46e1e1 · outbound

This paper cites On a Faster $R$-Linear Convergence Rate of the Barzilai-Borwein Method.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces On a Faster $R$-Linear Convergence Rate of the Barzilai-Borwein Method

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T01:00:08.421903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 896888a2-fa02-4ce2-97cc-ccf0c0110085 · outbound

This paper cites Liu and Y.-H.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Liu and Y.-H

Reference 18

Resolution: verified exact; doi, observed 2026-08-12T01:00:08.565518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9f943784-84ab-4c04-8a19-4559909999d8 · outbound

This paper cites Nocedal, A.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Nocedal, A

Reference 19

Resolution: verified exact; doi, observed 2026-08-12T01:00:08.549399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d57b8a72-a2aa-442d-a6b4-78c0d90ee6c9 · outbound

This paper cites Pronzato, H.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Pronzato, H

Reference 20

Resolution: verified exact; doi, observed 2026-08-12T01:00:08.533949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9f7d5970-f744-448c-b36d-ffb792f468fd · outbound

This paper cites an unresolved cited work.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Unresolved cited work

Reference 21

Resolution: malformed identifier; no resolver link, observed 2026-08-12T01:00:08.441689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 771eaccc-eb96-4052-bd93-fb7644b9b73d · outbound

This paper cites Sturman and J.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Sturman and J

Reference 22

Resolution: verified exact; doi, observed 2026-08-12T01:00:08.518795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b7c02e58-418b-41bf-8dac-fb37fb3d4d4d · outbound

This paper cites Walters.An Introduction to Ergodic Theory.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Walters.An Introduction to Ergodic Theory

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-12T01:00:08.450920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50f31078-5f40-487e-a3a1-5d1083babe18 · outbound

This paper cites Zou and F.

The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in $\mathbb R^d$ and Hilbert Spaces Zou and F

Reference 24

Resolution: verified exact; doi, observed 2026-08-12T01:00:08.492385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.