{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T02:18:51Z","timestamp":1783045131066,"version":"3.54.6"},"reference-count":12,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,12,1]],"date-time":"2026-12-01T00:00:00Z","timestamp":1796083200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["42374156"],"award-info":[{"award-number":["42374156"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["26CX03017A"],"award-info":[{"award-number":["26CX03017A"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computational and Applied Mathematics"],"published-print":{"date-parts":[[2026,12]]},"DOI":"10.1016\/j.cam.2026.117815","type":"journal-article","created":{"date-parts":[[2026,5,26]],"date-time":"2026-05-26T23:37:51Z","timestamp":1779838671000},"page":"117815","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Comments on the nonlinear randomized Kaczmarz algorithms and their convergence"],"prefix":"10.1016","volume":"488","author":[{"given":"Lili","family":"Xing","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Weiguo","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wendi","family":"Bao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"1","key":"10.1016\/j.cam.2026.117815_bib0001","article-title":"Nonlinear Kaczmarz algorithms and their convergence","volume":"399","author":"Wang","year":"2022","journal-title":"J. Comput. Appl. Math."},{"issue":"1","key":"10.1016\/j.cam.2026.117815_bib0002","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/s002110050158","article-title":"A convergence analysis of the Landweber iteration for nonlinear ILL-posed problems","volume":"72","author":"Hanke","year":"1995","journal-title":"Numer. Math."},{"key":"10.1016\/j.cam.2026.117815_bib0003","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1007\/s10092-024-00577-1","article-title":"Greedy randomized sampling nonlinear Kaczmarz methods","volume":"61","author":"Zhang","year":"2024","journal-title":"Calcolo"},{"key":"10.1016\/j.cam.2026.117815_bib0004","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2024.116067","article-title":"Greedy capped nonlinear Kaczmarz methods","volume":"451","author":"Zhang","year":"2024","journal-title":"J. Comput. Appl. Math."},{"issue":"3","key":"10.1016\/j.cam.2026.117815_bib0005","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1007\/s40314-023-02265-2","article-title":"On sampling Kaczmarz-Motzkin methods for solving large-scale nonlinear systems","volume":"42","author":"Zhang","year":"2023","journal-title":"Comput. Appl. Math."},{"key":"10.1016\/j.cam.2026.117815_bib0006","article-title":"A Bregman\u2013Kaczmarz method for nonlinear systems of equations","author":"Gower","year":"2023","journal-title":"Comput. Optim. Appl."},{"key":"10.1016\/j.cam.2026.117815_bib0007","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2023.115065","article-title":"On maximum residual nonlinear Kaczmarz\u2013type algorithms for large nonlinear systems of equations","volume":"425","author":"Zhang","year":"2023","journal-title":"J. Comput. Appl. Math."},{"issue":"1","key":"10.1016\/j.cam.2026.117815_bib0008","doi-asserted-by":"crossref","first-page":"305","DOI":"10.3934\/nhm.2024014","article-title":"A class of pseudoinverse\u2013free greedy block nonlinear Kaczmarz methods for nonlinear systems of equations","volume":"19","author":"Lv","year":"2024","journal-title":"Netw. Heterog. Media"},{"key":"10.1016\/j.cam.2026.117815_bib0009","series-title":"Journal of Inverse and ILL-Posed Problems","first-page":"335","article-title":"Convergence analysis of a Landweber-Kaczmarz method for solving nonlinear ILL-posed problems","author":"Kowar","year":"2002"},{"issue":"3","key":"10.1016\/j.cam.2026.117815_bib0010","doi-asserted-by":"crossref","first-page":"335","DOI":"10.3934\/ipi.2010.4.335","article-title":"On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ILL-posed equations","volume":"4","author":"Baumeister","year":"2010","journal-title":"Inverse Probl. Image"},{"issue":"2","key":"10.1016\/j.cam.2026.117815_bib0011","doi-asserted-by":"crossref","first-page":"1421","DOI":"10.1137\/19M1271798","article-title":"On the convergence of stochastic gradient descent for nonlinear ILL-posed problems","volume":"30","author":"Jin","year":"2020","journal-title":"SIAM J. Optim."},{"key":"10.1016\/j.cam.2026.117815_bib0012","series-title":"Probability: Theory and Examples","author":"Durrett","year":"2019"}],"container-title":["Journal of Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042726004577?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0377042726004577?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T01:54:41Z","timestamp":1783043681000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0377042726004577"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,12]]},"references-count":12,"alternative-id":["S0377042726004577"],"URL":"https:\/\/doi.org\/10.1016\/j.cam.2026.117815","relation":{},"ISSN":["0377-0427"],"issn-type":[{"value":"0377-0427","type":"print"}],"subject":[],"published":{"date-parts":[[2026,12]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Comments on the nonlinear randomized Kaczmarz algorithms and their convergence","name":"articletitle","label":"Article Title"},{"value":"Journal of Computational and Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cam.2026.117815","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"117815"}}