{"id":"https://openalex.org/W4406957572","doi":"https://doi.org/10.1090/mcom/4073","title":"Inexact Gauss-Newton methods with matrix approximation by sampling for nonlinear least-squares and systems","display_name":"Inexact Gauss-Newton methods with matrix approximation by sampling for nonlinear least-squares and systems","publication_year":2025,"publication_date":"2025-01-29","ids":{"openalex":"https://openalex.org/W4406957572","doi":"https://doi.org/10.1090/mcom/4073"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/4073","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4073","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009343830","display_name":"Stefania Bellavia","orcid":"https://orcid.org/0000-0002-3691-7836"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Stefania Bellavia","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033409289","display_name":"Greta Malaspina","orcid":"https://orcid.org/0000-0003-2749-148X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Greta Malaspina","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5087455379","display_name":"Benedetta Morini","orcid":"https://orcid.org/0000-0002-9213-3622"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Benedetta Morini","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009343830"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0577,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.84155322,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"95","issue":"358","first_page":"897","last_page":"924"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.9879000186920166,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9728999733924866,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6081782579421997},{"id":"https://openalex.org/keywords/non-linear-least-squares","display_name":"Non-linear least squares","score":0.6067981719970703},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.5627526640892029},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5363404154777527},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5135681629180908},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4931721091270447},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.4691919982433319},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.453124076128006},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4287773370742798},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2103571593761444},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18465277552604675},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.16037899255752563},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.136739581823349},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.05696883797645569},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.04994615912437439}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6081782579421997},{"id":"https://openalex.org/C45923927","wikidata":"https://www.wikidata.org/wiki/Q3319230","display_name":"Non-linear least squares","level":3,"score":0.6067981719970703},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.5627526640892029},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5363404154777527},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5135681629180908},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4931721091270447},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.4691919982433319},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.453124076128006},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4287773370742798},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2103571593761444},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18465277552604675},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.16037899255752563},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.136739581823349},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.05696883797645569},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.04994615912437439},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/mcom/4073","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4073","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:flore.unifi.it:2158/1415153","is_oa":false,"landing_page_url":"https://hdl.handle.net/2158/1415153","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4699999988079071}],"awards":[{"id":"https://openalex.org/G1792264525","display_name":null,"funder_award_id":"CUP E53D23017980001","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G3390821662","display_name":null,"funder_award_id":"CUP B53D23012670006","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G5122099797","display_name":null,"funder_award_id":"CUP B53D2301267000","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G6049905945","display_name":null,"funder_award_id":"CUP B93C23001750006","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W655322337","https://openalex.org/W1222879367","https://openalex.org/W1983886273","https://openalex.org/W2004789423","https://openalex.org/W2013394257","https://openalex.org/W2083618095","https://openalex.org/W2097897435","https://openalex.org/W2107501462","https://openalex.org/W2137633966","https://openalex.org/W2183016060","https://openalex.org/W2240755402","https://openalex.org/W2524032428","https://openalex.org/W2615262195","https://openalex.org/W2747280560","https://openalex.org/W2900493964","https://openalex.org/W2900789157","https://openalex.org/W2955010974","https://openalex.org/W2979411530","https://openalex.org/W2990754067","https://openalex.org/W3005484777","https://openalex.org/W3035938142","https://openalex.org/W3041272620","https://openalex.org/W3099862346","https://openalex.org/W3108353645","https://openalex.org/W3133851861","https://openalex.org/W3179487015","https://openalex.org/W3206532668","https://openalex.org/W4206039841","https://openalex.org/W4280491427","https://openalex.org/W4317704485","https://openalex.org/W4396220729"],"related_works":["https://openalex.org/W2026673180","https://openalex.org/W1959514624","https://openalex.org/W200101083","https://openalex.org/W2939592218","https://openalex.org/W2359835307","https://openalex.org/W327962130","https://openalex.org/W4380487384","https://openalex.org/W1997338499","https://openalex.org/W4378552425","https://openalex.org/W2589353378"],"abstract_inverted_index":{"We":[0],"develop":[1],"and":[2,12,64],"analyze":[3],"stochastic":[4],"inexact":[5],"Gauss-Newton":[6],"methods":[7],"for":[8,13,26,61],"nonlinear":[9,14],"least-squares":[10],"problems":[11],"systems":[15],"of":[16,36,40,52,78,82],"equations.":[17],"Random":[18],"models":[19],"are":[20,85],"formed":[21],"using":[22],"suitable":[23,71],"sampling":[24,63],"strategies":[25],"the":[27,31,37,44,55,74,79,83],"matrices":[28],"involved":[29],"in":[30,43,54,73],"deterministic":[32],"models.":[33],"The":[34],"analysis":[35],"expected":[38],"number":[39],"iterations":[41],"needed":[42],"worst":[45],"case":[46],"to":[47],"achieve":[48],"a":[49,67,70],"desired":[50],"level":[51],"accuracy":[53,72],"first-order":[56],"optimality":[57],"condition":[58],"provides":[59],"guidelines":[60],"applying":[62],"enforcing,":[65],"with":[66],"fixed":[68],"probability,":[69],"random":[75],"approximations.":[76],"Results":[77],"numerical":[80],"validation":[81],"algorithms":[84],"presented.":[86]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}