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Paper Citation Record · LEDGER

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients

As of 10 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 1 inbound Pith citation observation for arXiv:2512.05520.

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

pith.paper-citation-record.v1
2512.05520 v2

Coverage vector

measured 50 of 50 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T18:33:04.518032Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-07T11:24:18.025511Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

50 of 50 outbound references displayed

  • verified exact13
  • verified fuzzy0
  • unresolved26
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External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 78987d0c-0064-402a-88e2-4ff1a68296fd · outbound

This paper cites Axelsson, V.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Axelsson, V

Reference 1

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Observation ff2c0e61-0fa6-4f33-82e6-05e5dcfbe9df · outbound

This paper cites an unresolved cited work.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 2

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Observation 6c8bbe30-ce7b-460c-9c38-26c59450c1bb · outbound

This paper cites an unresolved cited work.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 3

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Observation 1d757fb2-7c09-4d8d-a060-e55a46ada654 · outbound

This paper cites an unresolved cited work.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 4

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Observation 34ba4303-82ea-4b4d-b251-f38e3b57953f · outbound

This paper cites an unresolved cited work.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 5

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Observation 46cb39ac-7408-407a-9b1d-2df86db074ed · outbound

This paper cites Benzi, Some uses of the field of values in numerical analysis, Boll.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Benzi, Some uses of the field of values in numerical analysis, Boll

Reference 6

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Observation 5b0b02b7-689d-44f4-b767-481711f0d109 · outbound

This paper cites von Mises, H.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients von Mises, H

Reference 7

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Observation 4a87ccd6-a129-4d1a-8d7c-98b2b1a38921 · outbound

This paper cites M¨ untz, Solution directe de l’´ equation s´ eculaire et de quelques probl` emes ana- logues transcendants, C.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients M¨ untz, Solution directe de l’´ equation s´ eculaire et de quelques probl` emes ana- logues transcendants, C

Reference 8

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Observation a6e8159a-fb11-4bf5-8add-13fa366bb111 · outbound

This paper cites M¨ untz, Sur la solution des ´ equations s´ eculaires et des ´ equations int´ egrales, C.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients M¨ untz, Sur la solution des ´ equations s´ eculaires et des ´ equations int´ egrales, C

Reference 9

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Observation 7bc47e86-3bec-4e4e-bc9e-66dfb95296ab · outbound

This paper cites an unresolved cited work.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 10

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Observation b22cd196-fb67-45ba-a9cd-f28458d8d1a8 · outbound

This paper cites Knyazev, K.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Knyazev, K

Reference 11

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Observation 74335a65-7bb5-4469-b881-c7d7b92f32e7 · outbound

This paper cites an unresolved cited work.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 12

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Observation 21dd6873-79bf-4446-9e60-ebb3e3555ffd · outbound

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Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 13

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Observation c7f9b889-f11d-440e-9cf7-d571d5b82ae1 · outbound

This paper cites Schanze, Robust Rayleigh quotient minimization and generalized eigenvalue problems, GAMMAS 5 (1) (2023) 1–9.doi:10.14464/gammas.v5i1.540.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Schanze, Robust Rayleigh quotient minimization and generalized eigenvalue problems, GAMMAS 5 (1) (2023) 1–9.doi:10.14464/gammas.v5i1.540

Reference 14

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Observation bff8984d-5682-47e4-af9f-706101dcec11 · outbound

This paper cites an unresolved cited work.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 15

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Observation a69e69b0-d010-48ad-81bf-1f8c65a4cfa0 · outbound

This paper cites Nishioka, M.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Nishioka, M

Reference 16

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Observation efe4bf00-bd47-44db-98b0-ab84abbf4652 · outbound

This paper cites Zhang, S.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Zhang, S

Reference 17

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Observation 01d08905-1f24-4259-ac20-91be9b597837 · outbound

This paper cites Alimisis, P.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Alimisis, P

Reference 18

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Observation 20bae980-da6e-4a67-9a68-fe3990ea37e5 · outbound

This paper cites Alimisis, B.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Alimisis, B

Reference 19

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Observation 4e7b2f64-fd1b-49d4-ae02-9214082dc2cd · outbound

This paper cites Guglielmi, M.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Guglielmi, M

Reference 20

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Observation 3ca19020-582f-4148-b19a-4e91c248a534 · outbound

This paper cites Kressner, B.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Kressner, B

Reference 21

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Observation d930b272-d986-44d6-a581-a7227c171706 · outbound

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Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 22

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Observation 49c244a0-9609-4cc3-93d1-559a035d0f34 · outbound

This paper cites Halko, P.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Halko, P

Reference 23

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Observation 9cd57aeb-b4af-4390-aed6-2a2c04c9b411 · outbound

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Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 24

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Observation 6153e424-5558-46d8-a2bc-a0a0ea99ecf6 · outbound

This paper cites Martinsson, J.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Martinsson, J

Reference 25

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Observation 63406958-5d78-474c-a9c9-beac8191b141 · outbound

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Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 26

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Observation e38433bd-4c46-4d19-bd8c-5822e7baba5c · outbound

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Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 27

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Observation 5369dc29-e7d6-4495-b645-cac69bfb8830 · outbound

This paper cites Zhang, L.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Zhang, L

Reference 28

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Observation 6c654405-7b40-4431-8f84-43b303f49e0d · outbound

This paper cites Peterson, J.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Peterson, J

Reference 29

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Observation c518ffae-1bfa-475e-a206-2241a10e2194 · outbound

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Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 30

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Observation 0b89ff93-5138-40f2-a3f3-313d635e7b3a · outbound

This paper cites Balasubramanian, S.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Balasubramanian, S

Reference 31

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Observation 50097174-62c2-40ef-b6fd-74effe16c7f6 · outbound

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Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 32

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Observation ba8d3ed3-a5e0-49b4-baa6-4836e6041e7c · outbound

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Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 33

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Observation 5de5c4f2-7a61-4e2c-a171-a57ab54f1ac8 · outbound

This paper cites Oja, Simplified neuron model as a principal component analyzer, Journal of Mathematical Biology 15 (3) (1982) 267–273.doi:10.1007/BF00275687.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Oja, Simplified neuron model as a principal component analyzer, Journal of Mathematical Biology 15 (3) (1982) 267–273.doi:10.1007/BF00275687

Reference 34

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Observation a9962a35-b523-4b4b-b26a-589ef7e657bf · outbound

This paper cites Riedl, T.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Riedl, T

Reference 35

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Observation 9359563c-7a1a-4eac-ae2b-a30342e90933 · outbound

This paper cites Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Regularity and positivity of solutions of the Consensus-Based Optimization equation: unconditional global convergence

Reference 36

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Observation 22872f09-81cc-470b-9e83-a7012db36417 · outbound

This paper cites Fornasier, H.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Fornasier, H

Reference 37

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Observation 0c1ee901-83c8-40c0-9462-29607f614c82 · outbound

This paper cites Fornasier, H.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Fornasier, H

Reference 38

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Observation f1b6d97b-4aff-4881-a8e2-1b52b3665b77 · outbound

This paper cites Quellmalz, R.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Quellmalz, R

Reference 39

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Observation 2fbf5b9a-0303-43fb-8e8c-6a4dbd7e4c1c · outbound

This paper cites Quellmalz, L.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Quellmalz, L

Reference 40

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Observation 3e8e25d1-305a-4196-93d7-914904d27614 · outbound

This paper cites Bresch, D.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Bresch, D

Reference 41

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Observation 5868753c-8b85-43fe-bec8-02cc2a433e9b · outbound

This paper cites Mitchell, Convergence rate analysis and improved iterations for numerical ra- dius computation, SIAM J.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Mitchell, Convergence rate analysis and improved iterations for numerical ra- dius computation, SIAM J

Reference 42

Resolution
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Observation 9f328523-de80-434e-923b-f461a8f0b612 · outbound

This paper cites Boumal, An Introduction to Optimization on Smooth Manifolds, Cambridge University Press, Cambridge, UK, 2023.doi:10.1017/9781009166164.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Boumal, An Introduction to Optimization on Smooth Manifolds, Cambridge University Press, Cambridge, UK, 2023.doi:10.1017/9781009166164

Reference 43

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Observation 5f553737-5b04-4284-98f3-ecbfa6ab2965 · outbound

This paper cites an unresolved cited work.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 44

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verified exact
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation c80f03bc-947b-42e2-92ff-cae3f4066c9f · outbound

This paper cites an unresolved cited work.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 45

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Observation 09c9a59a-c732-4c8b-a0c4-ee4126f35784 · outbound

This paper cites Bhatia, A.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Bhatia, A

Reference 46

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unresolved
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Observation d28eb323-2b8c-4191-a153-2c924258d53b · outbound

This paper cites an unresolved cited work.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 47

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source=pdf_text observed=2026-08-03T18:33:04.176148Z digest=sha256:f6ef45562e53e7d5303e8f6e7b9e5b37626c9de44718e7c1544d1e50f872f0e8

Observation abaa6af2-02b4-4ea7-964a-a7fb2c356222 · outbound

This paper cites an unresolved cited work.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Unresolved cited work

Reference 48

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unresolved
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Observation 310e3411-7523-442b-85d9-9d36dfbd6b97 · outbound

This paper cites Li, Concise formulas for the area and volume of a hyperspherical cap, Asian J.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Li, Concise formulas for the area and volume of a hyperspherical cap, Asian J

Reference 49

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Observation 7fb2931b-50e3-4f0a-b9ff-fbd2cf929998 · outbound

This paper cites Since B∈Sym d ≻0, the norm∥·∥ B is strongly.

Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients Since B∈Sym d ≻0, the norm∥·∥ B is strongly

Reference 50

Resolution
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Pith citing papers

Observation e3f20981-2870-4cff-9c81-80f32aee2db8 · inbound

Generalization of Zeroth-Order Method for Quotients of Quadratic Functions cites this paper.

Generalization of Zeroth-Order Method for Quotients of Quadratic Functions Stochastic Zeroth-Order Method for Computing Generalized Rayleigh Quotients

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-07-14T02:20:20.716044Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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