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Paper Citation Record · LEDGER

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee

As of 8 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2505.22180.

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

pith.paper-citation-record.v1
2505.22180 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:23:22.453422Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T00:36:00.985511Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T00:38:23.252490Z

Reference resolution

46 of 46 outbound references displayed

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  • verified fuzzy24
  • unresolved17
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External citation measurements

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Outbound references

Observation 0f98cd82-f35a-4d50-bba3-922cc70b897f · outbound

This paper cites Absil, R.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Absil, R

Reference 1

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 3199b7f3-12cd-4797-ba6c-19bad8204880 · outbound

This paper cites Absil, R.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Absil, R

Reference 2

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Observation 5474338d-62f7-4a2a-b72d-d530176ea75d · outbound

This paper cites Amari and H.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Amari and H

Reference 3

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 49827aec-5023-4490-81df-bf1f61ea2bdb · outbound

This paper cites Armijo, Minimization of functions having Lipschitz continuous first partial derivatives, Pacific J.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Armijo, Minimization of functions having Lipschitz continuous first partial derivatives, Pacific J

Reference 4

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation a8e3a91d-1b0b-4df4-a9c2-0e39dba42aa8 · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 5

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 44d515eb-7fc5-441e-b735-c5d8c9e63f91 · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 6

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 461a9457-33c4-4020-a62b-50bd62ab1e3f · outbound

This paper cites Blank and C.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Blank and C

Reference 7

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:23:18.879689Z digest=sha256:505802edce1c3e9bd750958b50248d4883bbf8f4389720fd695c02a256622079

Observation 95a0e7e0-9458-48eb-9025-6819086bdfc6 · outbound

This paper cites Bergweiler, Iteration of meromorphic functions, Bulletin of the American Mathematical Society, vol 29, number 2, October 1993, pp.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Bergweiler, Iteration of meromorphic functions, Bulletin of the American Mathematical Society, vol 29, number 2, October 1993, pp

Reference 8

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 4450ed86-a816-4d94-8f4f-b3b980401cf8 · outbound

This paper cites Boumal, An introduction to optimisation on smooth manifolds, Online book, version 25 May 2020.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Boumal, An introduction to optimisation on smooth manifolds, Online book, version 25 May 2020

Reference 9

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 34678562-bc7b-48c6-9b9c-10652aa1a51a · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 10

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation fb693dcb-f4c3-432c-a0c8-07b9cfbe1d16 · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 11

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Observation 22aba50f-27aa-4a0a-aef8-d7bb79993f95 · outbound

This paper cites Cauchy, Method g´ en´ eral pour la r´ esolution des systemes d’´ equations simulan´ ees, Comptes Rendus 25 (1847), no.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Cauchy, Method g´ en´ eral pour la r´ esolution des systemes d’´ equations simulan´ ees, Comptes Rendus 25 (1847), no

Reference 12

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Observation ba9d3b83-49b0-4ec1-9f99-88f1c8185caa · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 13

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Observation be5d1263-c5d6-4595-beed-4ab36efa9c27 · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 14

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Observation 61989f5d-8a4b-4a92-a47c-256d6051dbab · outbound

This paper cites Backtracking New Q-Newton's method for finding roots of meromorphic functions in 1 complex variable: Global convergence, and local stable/unstable curves.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Backtracking New Q-Newton's method for finding roots of meromorphic functions in 1 complex variable: Global convergence, and local stable/unstable curves

Reference 15

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Observation 50f96043-9ee2-4984-b683-8f86e4bdcc99 · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 16

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 6df33fbc-e9e2-415e-94be-3c6cc5bbdd2a · outbound

This paper cites Backtracking New Q-Newton's method, Schr\"oder's theorem, and Linear Conjugacy.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Backtracking New Q-Newton's method, Schr\"oder's theorem, and Linear Conjugacy

Reference 17

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8275ab9b-78f6-4ee3-a418-c998bddf11e7 · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 18

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Observation 5c8f1a94-f995-4025-be33-0a2d71bb2b18 · outbound

This paper cites Geiersbach and T.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Geiersbach and T

Reference 19

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Observation 96272b47-ac1b-4cb7-8613-735ef17ab90a · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 20

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation de5a42e3-ce6b-4091-8416-e289a5de7646 · outbound

This paper cites von Haeseler, H, Kriete, The relaxed Newton’s method for rational functions, Random Comput.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee von Haeseler, H, Kriete, The relaxed Newton’s method for rational functions, Random Comput

Reference 21

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Observation b39d3951-1d22-4bba-abc7-cdbb205b127d · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 22

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Observation 9c09ef65-2d01-4c8e-ac9d-7ba65cff28d3 · outbound

This paper cites 36 TUYEN TRUNG TRUONG.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee 36 TUYEN TRUNG TRUONG

Reference 23

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 5ea39d6f-6a13-4df9-88da-e986bacf5fb2 · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 24

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Observation 76246902-089a-4eb1-bfa0-38cc94c50331 · outbound

This paper cites Kato, Perturbation theory for linear operators, Originally publised as Vol 132 of the Grundlehren der mathematischen Wissenschaften, Springer-Verlag Berlin Heidelberg 1995.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Kato, Perturbation theory for linear operators, Originally publised as Vol 132 of the Grundlehren der mathematischen Wissenschaften, Springer-Verlag Berlin Heidelberg 1995

Reference 25

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Observation ca8bc599-aed1-445f-92d6-a67a4de1a39f · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 26

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Observation 3aed6c40-983d-4b9b-b3ef-9af2109beba3 · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 27

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Observation f5cfc6e4-0187-4079-b893-09f8de678cbc · outbound

This paper cites an unresolved cited work.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 28

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raw_fallback, observed 2026-08-07T13:23:27.256375Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:23:20.762174Z digest=sha256:5b728174c156d74736219810c537af0d03f0c3dca08d55362be0da3550fe59bf

Observation 746d97b4-5372-4276-a573-a2a751f9906e · outbound

This paper cites Lojasiewicz, Sur les trajectoires du gradient d’une fonction analytique, Seminari di Geometria, Bologna 1982/1983, Universita’ degli studi di Bologna, Bologna (1984), pp.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Lojasiewicz, Sur les trajectoires du gradient d’une fonction analytique, Seminari di Geometria, Bologna 1982/1983, Universita’ degli studi di Bologna, Bologna (1984), pp

Reference 29

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raw_fallback, observed 2026-08-07T13:23:26.978725Z

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source=pdf_text observed=2026-08-07T13:23:20.823375Z digest=sha256:12954622f9d8d6cfc238856dba3376863bb4517436cab0440cc8cc6ea07ee9aa

Observation c2fd526e-526e-4f69-ab3b-9bd3b183b1e0 · outbound

This paper cites Lojasiewicz, Ensembles semi-analytiques, preprint IHES, 1965.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Lojasiewicz, Ensembles semi-analytiques, preprint IHES, 1965

Reference 30

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raw_fallback, observed 2026-08-07T13:23:26.692828Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:23:20.925607Z digest=sha256:f41ef4d75765cd4b57a8c41ffedbad8eb5a563ab789e6b88e5acaf0ba786fb61

Observation f3fc94bb-7f10-4514-b56d-713040e6334d · outbound

This paper cites McMullen, Families of rational maps and iterative root-finding algorithms, Ann.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee McMullen, Families of rational maps and iterative root-finding algorithms, Ann

Reference 31

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raw_fallback, observed 2026-08-07T13:23:26.439564Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:23:21.010747Z digest=sha256:ce5f6ea4ed70f2d73ecea148f3c77bcece95742646aed71d7d168e0b5de029e2

Observation 99f21c04-85b8-4b30-ada1-138f99714eda · outbound

This paper cites Meier, The relaxed Newton-iteration for rational functions: the limiting case, Complex Variables Theory Appl., 16 (1991), 239–260.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Meier, The relaxed Newton-iteration for rational functions: the limiting case, Complex Variables Theory Appl., 16 (1991), 239–260

Reference 32

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raw_fallback, observed 2026-08-07T13:23:26.170642Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:23:21.077564Z digest=sha256:eb091dd0018640e7355829194de00b4b5e700bde53eb0dcd8a6f3eb586de740b

Observation 3d08a933-34a9-453c-b86b-3cb611c97876 · outbound

This paper cites Milnor, Dynamics in One Complex Variable.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Milnor, Dynamics in One Complex Variable

Reference 33

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raw_fallback, observed 2026-08-07T13:23:25.952660Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T13:23:21.149909Z digest=sha256:12a84b816f85f10c48b09267c2f061aa7583b85c923413d4dd0466f00da6099a

Observation a4c869e6-fa7e-421e-90d2-5535b3191599 · outbound

This paper cites Nash, The imbedding problem for Riemannian manifolds, Annals of Mathematics, 63 (1): 20–63.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Nash, The imbedding problem for Riemannian manifolds, Annals of Mathematics, 63 (1): 20–63

Reference 34

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raw_fallback, observed 2026-08-07T13:23:25.721368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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This paper cites Nash, C 1-isometric imbeddings, Annals of Mathematics, 60 (3): 383–396.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Nash, C 1-isometric imbeddings, Annals of Mathematics, 60 (3): 383–396

Reference 35

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This paper cites Nesterov, Introductory lectures on convex programming, Volume 1: Basic course, Online book, 2 July 1998.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Nesterov, Introductory lectures on convex programming, Volume 1: Basic course, Online book, 2 July 1998

Reference 36

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Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 37

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This paper cites Panageas,G.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Panageas,G

Reference 38

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This paper cites Panageas and G.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Panageas and G

Reference 39

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This paper cites An overview of gradient descent optimization algorithms.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee An overview of gradient descent optimization algorithms

Reference 40

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This paper cites Rudin, Functional Analysis, McGraw-Hill Science/Engineering, 2 rev edition, 1991.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Rudin, Functional Analysis, McGraw-Hill Science/Engineering, 2 rev edition, 1991

Reference 41

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This paper cites Shub, Global stability of dynamical systems, Springer Science and Business Media, 1987.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Shub, Global stability of dynamical systems, Springer Science and Business Media, 1987

Reference 42

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Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work

Reference 43

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This paper cites Backtracking New Q-Newton's method: a good algorithm for optimization and solving systems of equations.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Backtracking New Q-Newton's method: a good algorithm for optimization and solving systems of equations

Reference 44

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This paper cites A fast and simple modification of Newton's method helping to avoid saddle points.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee A fast and simple modification of Newton's method helping to avoid saddle points

Reference 45

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This paper cites Backtracking gradient descent method for general $C^1$ functions, with applications to Deep Learning.

Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Backtracking gradient descent method for general $C^1$ functions, with applications to Deep Learning

Reference 47

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Pith citing papers

Observation c9184328-b413-441a-8ab4-b7e604c11a00 · inbound

Optimization on Weak Riemannian Manifolds cites this paper.

Optimization on Weak Riemannian Manifolds Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee

Reference 43

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