Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:23:22.453422Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:23:22.453422Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-15T00:36:00.985511Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-15T00:38:23.252490Z
46 of 46 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 0f98cd82-f35a-4d50-bba3-922cc70b897f · outbound
Reference 1
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.
Observation 3199b7f3-12cd-4797-ba6c-19bad8204880 · outbound
Reference 2
Source-reported events for the cited work
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Observation 5474338d-62f7-4a2a-b72d-d530176ea75d · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Amari and H
Reference 3
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.
Observation 49827aec-5023-4490-81df-bf1f61ea2bdb · outbound
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
Source-reported events for the cited work
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Observation a8e3a91d-1b0b-4df4-a9c2-0e39dba42aa8 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 5
Source-reported events for the cited work
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Observation 44d515eb-7fc5-441e-b735-c5d8c9e63f91 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 6
Source-reported events for the cited work
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Observation 461a9457-33c4-4020-a62b-50bd62ab1e3f · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Blank and C
Reference 7
Source-reported events for the cited work
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Observation 95a0e7e0-9458-48eb-9025-6819086bdfc6 · outbound
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
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.
Observation 4450ed86-a816-4d94-8f4f-b3b980401cf8 · outbound
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
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.
Observation 34678562-bc7b-48c6-9b9c-10652aa1a51a · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 10
Source-reported events for the cited work
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Observation fb693dcb-f4c3-432c-a0c8-07b9cfbe1d16 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 11
Source-reported events for the cited work
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Observation 22aba50f-27aa-4a0a-aef8-d7bb79993f95 · outbound
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
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.
Observation ba9d3b83-49b0-4ec1-9f99-88f1c8185caa · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 13
Source-reported events for the cited work
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Observation be5d1263-c5d6-4595-beed-4ab36efa9c27 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 14
Source-reported events for the cited work
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Observation 61989f5d-8a4b-4a92-a47c-256d6051dbab · outbound
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
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.
Observation 50f96043-9ee2-4984-b683-8f86e4bdcc99 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 16
Source-reported events for the cited work
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Observation 6df33fbc-e9e2-415e-94be-3c6cc5bbdd2a · outbound
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
Source-reported events for the cited work
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Observation 8275ab9b-78f6-4ee3-a418-c998bddf11e7 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 18
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.
Observation 5c8f1a94-f995-4025-be33-0a2d71bb2b18 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Geiersbach and T
Reference 19
Source-reported events for the cited work
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Observation 96272b47-ac1b-4cb7-8613-735ef17ab90a · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 20
Source-reported events for the cited work
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Observation de5a42e3-ce6b-4091-8416-e289a5de7646 · outbound
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
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.
Observation b39d3951-1d22-4bba-abc7-cdbb205b127d · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 22
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.
Observation 9c09ef65-2d01-4c8e-ac9d-7ba65cff28d3 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee 36 TUYEN TRUNG TRUONG
Reference 23
Source-reported events for the cited work
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Observation 5ea39d6f-6a13-4df9-88da-e986bacf5fb2 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 24
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.
Observation 76246902-089a-4eb1-bfa0-38cc94c50331 · outbound
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
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.
Observation ca8bc599-aed1-445f-92d6-a67a4de1a39f · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 26
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.
Observation 3aed6c40-983d-4b9b-b3ef-9af2109beba3 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 27
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.
Observation f5cfc6e4-0187-4079-b893-09f8de678cbc · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 28
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.
Observation 746d97b4-5372-4276-a573-a2a751f9906e · outbound
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
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.
Observation c2fd526e-526e-4f69-ab3b-9bd3b183b1e0 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Lojasiewicz, Ensembles semi-analytiques, preprint IHES, 1965
Reference 30
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.
Observation f3fc94bb-7f10-4514-b56d-713040e6334d · outbound
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
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.
Observation 99f21c04-85b8-4b30-ada1-138f99714eda · outbound
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
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.
Observation 3d08a933-34a9-453c-b86b-3cb611c97876 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Milnor, Dynamics in One Complex Variable
Reference 33
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.
Observation a4c869e6-fa7e-421e-90d2-5535b3191599 · outbound
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
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.
Observation ce7069fd-dab1-4a60-b647-166757f67c34 · outbound
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
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.
Observation d92ef2da-91db-46e6-ae13-cf3324edd937 · outbound
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
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.
Observation b9702178-839b-41fc-bd48-10f0f9ca33aa · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 37
Source-reported events for the cited work
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Observation 3d429287-c32c-446d-8c87-6bb27beea635 · outbound
Reference 38
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.
Observation dec31244-286b-4445-9d12-1c365d95377b · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Panageas and G
Reference 39
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.
Observation 8c2a8add-664d-496c-b156-7fd71f777e5a · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee An overview of gradient descent optimization algorithms
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b8558d3-0a9e-4189-b993-377874ece518 · outbound
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
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.
Observation 946ab996-50c3-4308-a8c9-6ccc2ee327f6 · outbound
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
Source-reported events for the cited work
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Observation 7eb78c26-7897-4c68-b8b2-aadf42daf708 · outbound
Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee Unresolved cited work
Reference 43
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.
Observation 730f7397-b6e8-4fd3-a1c7-7db74de2b8ef · outbound
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
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.
Observation 98ec691d-56fa-4996-ba46-b6c140ee04d7 · outbound
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
Source-reported events for the cited work
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Observation 51ee910f-b2ac-4ee1-9102-ea9cc64ccc6b · outbound
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
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.
Observation c9184328-b413-441a-8ab4-b7e604c11a00 · inbound
Optimization on Weak Riemannian Manifolds Some iterative algorithms on Riemannian manifolds and Banach spaces with good global convergence guarantee
Reference 43
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.