Pith. sign in

Paper Citation Record · LEDGER

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

As of 21 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 2026-08-21T06:32:19.484+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

  • verified exact5
  • verified fuzzy24
  • unresolved17
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:32.477149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:18.141069Z digest=sha256:88815b5689bdf893a2b7f90d3b4d38d0dcd7c85be41b844af3c946ee8f61f3d1

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:32.349038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:18.197370Z digest=sha256:52ac7993950ded2abcbee234bc5218d00ff6d5087546b0e15029eb9f60c27dcd

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:32.200319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:18.340184Z digest=sha256:e7f81dd98b399d022b82d54a4ea92dc873cbb75bd9e7b5693f7805767de7d468

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:32.099119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:18.495562Z digest=sha256:09c578fbf3f896c5686dbfb6f80be873c1e211872137482bd08bc24bf0c20e12

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:31.973404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:18.592288Z digest=sha256:c66649ab8a8d4b61a33495d1c0989c267a7bbfee170bee6c0657c50d345f2369

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:31.759881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:18.749708Z digest=sha256:1c5486f7cc9d958597aef5d0ecdcfa05f60160de94b6ab6ca0e74d15d381010c

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:31.450166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:18.879689Z digest=sha256:f1b291132a5fd29d168e48acf79343bc2f792e72266186d706f027a2af8c2e79

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:31.187738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:19.026805Z digest=sha256:29620835e6433db856ce206a313cefda91a01dd947f05578337319664fe62821

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:30.944002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:19.173804Z digest=sha256:e584195c4316e94796e1841bfa7c33ac86e9fb8dfaac804c9f6cad371039eca8

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:30.685354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:19.253703Z digest=sha256:ecf67fcdc3caac0557cf3b769d185a73ca3150bd5cece155bf3d2deef5dca7b6

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:30.445072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:19.362934Z digest=sha256:ad712c6c28e260a3ee6bc3e1b89466ce0fabce82f9209876e772d42078a1b11f

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:30.226981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:19.482407Z digest=sha256:fabe50d059789fca74313fbe237e8627b6942807c72029d538054e70461687fd

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:30.028567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:19.557890Z digest=sha256:7f55a69023c277158bb76a0564d5b074e34136bb0b94da97efd373689e1c22b1

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:29.873944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:19.670074Z digest=sha256:8f9463c5000280dde52b86f41299f86cdc34a00fbb828e7416dc90f967025f93

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

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:23:23.557472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:19.779703Z digest=sha256:4b0bac796de84b59be5e58f5ef25e8acb145a8cd25425e36aea97527f84bb9de

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:29.666423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:19.908046Z digest=sha256:8b582af5bd59e69f9cd3a3a67d7881efa9282f95f5fa5efc11bd71e5c0a5fa83

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

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:23:23.316600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.036660Z digest=sha256:b5de56d6ab38962ce08a976191d1b3372b2ecf16908967ecccfbab4d6881b848

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:29.429541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.090900Z digest=sha256:594e7dfefcee73c3522572a22169edfe4c7ef5459b98e7db011a4a3e0a3ef501

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:29.265499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.142279Z digest=sha256:7598ebf07112486b8559ef80d26a9bb64bad598f8258e6117056f405a4b842fc

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:29.117808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.196240Z digest=sha256:f4e47465c4fb456d0b718fe3359b1f0cb943b16a8fc458c5289161b1746a1df3

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:28.833710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.272322Z digest=sha256:aba167b159c8688235b8f544c0e9ea762991dbde2e7aa914863a12382ba8f12a

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:28.662256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.332467Z digest=sha256:c771959067e8216ff557463b34c392556c2f29050bb8794435695c2d21f81637

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:28.418128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.389755Z digest=sha256:63b60a3826b0ce30d0a9fc132941fb2e1a46d6e78cd410d624e0a5108ec227db

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:28.187944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.459678Z digest=sha256:f38925f3ddbba5748476ec035aa49485bc9b4ae1e7a6dcdc49f940391ff855f2

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:27.954780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.532041Z digest=sha256:385ba9e2dd85360b7c784310671e35d190f33e66000acdd2d3723d0b5b6bb7bd

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:27.691253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.613078Z digest=sha256:ca035c55cc62712818bec846bd7a85839d8aa8756df7c4e24b4b728577ac4958

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

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:27.452032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.693190Z digest=sha256:0ea34ef921241ecd6f59cc52331426fa5f2ed77446989faea6022d3a3ae80fcd

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.762174Z digest=sha256:f945289ecdab4306e836e3ea948fe27de7d74cdbfb5ae573b3aec533ef97a536

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.823375Z digest=sha256:1aabf411ba9651d647af363695a7e756b6b6063feffefa51c132a9e6ee0e164e

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:20.925607Z digest=sha256:b57463edabfecd69272dba90ed2117f75dd3d3f6f9eb05d27dcaa9b57bc9de0d

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:21.010747Z digest=sha256:aa2dc490eb81ebe82e73e0f2d9e21c9a34d1672cc462858c39b80f40bd3352f2

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:21.077564Z digest=sha256:5845b71d7e78c48a4c84ff8bc22aff1516022b4b3ba19aa5f16f82f736e70dde

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:21.149909Z digest=sha256:65cd8c0865f4b749ebdbe817c95b9c4d828f3921dc97c4b556b3358c07121e49

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

Resolution
verified fuzzy
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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:21.255454Z digest=sha256:6698a645bccc87d5d67c3ba79810bffbbd1d7cd4fb53812685f7211a9a770a85

Observation ce7069fd-dab1-4a60-b647-166757f67c34 · outbound

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:25.516449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:21.355668Z digest=sha256:87372d452c5bf025d3a5fbbf4fb70779ed7d264ba189b8fe40fc0cf1674d083b

Observation d92ef2da-91db-46e6-ae13-cf3324edd937 · outbound

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:25.281937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:21.444126Z digest=sha256:b256d083616c9b99e846f28e61359caf97e02c235ce55cd61fefdc140bcb9486

Observation b9702178-839b-41fc-bd48-10f0f9ca33aa · 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 37

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:25.080895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:21.562386Z digest=sha256:fc85041ea9a7a7c95deff8bd1f82c7de6ad003575a1c812575d0e4b19c201268

Observation 3d429287-c32c-446d-8c87-6bb27beea635 · outbound

This paper cites Panageas,G.

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

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:24.800242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:21.653863Z digest=sha256:4c4d4a1e83a4f9fa4e69df6cd0feb346e0584956cac9956d706c4111f07e51c9

Observation dec31244-286b-4445-9d12-1c365d95377b · outbound

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:24.540482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:21.768833Z digest=sha256:bdef3f38d89b62cb6d13ac048ff2128b5ce1e999a3207fbb8a84c949b486496f

Observation 8c2a8add-664d-496c-b156-7fd71f777e5a · outbound

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

Resolution
unresolved
no resolver link, observed 2026-08-07T13:23:21.847633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:23:21.847633Z digest=sha256:c16f1972b69646ac79c6ef02ba37f6ac9c46969f52f8216bdd644368732babd5

Observation 6b8558d3-0a9e-4189-b993-377874ece518 · outbound

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:24.245956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:21.960915Z digest=sha256:723791c0958a3432766b89bf3223ed14b241279e033619697a57867865bbb60a

Observation 946ab996-50c3-4308-a8c9-6ccc2ee327f6 · outbound

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:23:23.970522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:22.143313Z digest=sha256:1d0d505b9cb69c96422d769352a1f174d2f4c18618884e18adefb207d51760a8

Observation 7eb78c26-7897-4c68-b8b2-aadf42daf708 · 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 43

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:23:23.799864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:22.221702Z digest=sha256:26475a62aad6b43020efd429a86274c9a2490ddcce916fad29df44c00de0c994

Observation 730f7397-b6e8-4fd3-a1c7-7db74de2b8ef · outbound

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

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:23:23.096149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:22.287927Z digest=sha256:039f6530696292ad3f4584c442c2cabd13e6653e1c4da4fc0673bd8af6b744db

Observation 98ec691d-56fa-4996-ba46-b6c140ee04d7 · outbound

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

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:23:22.878306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:22.343187Z digest=sha256:d765265df317def5b0bc714f758d465120089a599f2bd93c39051e557c43407b

Observation 51ee910f-b2ac-4ee1-9102-ea9cc64ccc6b · outbound

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

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:23:22.665146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T13:23:22.453422Z digest=sha256:dad42752cbd3676fa7572161c20fbfbbe241317605c3259ecbe560a409d8fa01

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

Resolution
verified exact
arxiv_id, observed 2026-05-15T00:38:23.254003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-15T00:36:00.985511Z digest=sha256:7d7644f9ebe2af4bc4a17bee27deba83e73234702a7391307de5c846294f7de1