{"id":"https://openalex.org/W2083489480","doi":"https://doi.org/10.1016/s0167-739x(00)00074-1","title":"Inexact Quasi-Newton methods for sparse systems of nonlinear equations","display_name":"Inexact Quasi-Newton methods for sparse systems of nonlinear equations","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W2083489480","doi":"https://doi.org/10.1016/s0167-739x(00)00074-1","mag":"2083489480"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-739x(00)00074-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-739x(00)00074-1","pdf_url":null,"source":{"id":"https://openalex.org/S186357190","display_name":"Future Generation Computer Systems","issn_l":"0167-739X","issn":["0167-739X","1872-7115"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Future Generation Computer Systems","raw_type":"journal-article"},"type":"article","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/A5089013612","display_name":"Luca Bergamaschi","orcid":"https://orcid.org/0000-0001-8273-9674"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Luca Bergamaschi","raw_affiliation_strings":["Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universit\u00e0 di Padova, Via Belzoni 7, 35131 Padova, Italy","Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universit\u00e0 di Padova, via Belzoni 7, 35131 Padova, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universit\u00e0 di Padova, Via Belzoni 7, 35131 Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universit\u00e0 di Padova, via Belzoni 7, 35131 Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012849259","display_name":"Igor Moret","orcid":null},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Igor Moret","raw_affiliation_strings":["Dipartimento di Scienze Matematiche, Universit\u00e0 di Trieste, Trieste, Italy","Dipartimento di Scienze Matematiche, Universit\u00e1 di Trieste, Trieste, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze Matematiche, Universit\u00e0 di Trieste, Trieste, Italy","institution_ids":["https://openalex.org/I142444530"]},{"raw_affiliation_string":"Dipartimento di Scienze Matematiche, Universit\u00e1 di Trieste, Trieste, Italy","institution_ids":["https://openalex.org/I142444530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026612233","display_name":"Giovanni Zilli","orcid":null},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanni Zilli","raw_affiliation_strings":["Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universit\u00e0 di Padova, Via Belzoni 7, 35131 Padova, Italy","Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universit\u00e0 di Padova, via Belzoni 7, 35131 Padova, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universit\u00e0 di Padova, Via Belzoni 7, 35131 Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universit\u00e0 di Padova, via Belzoni 7, 35131 Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089013612"],"corresponding_institution_ids":["https://openalex.org/I138689650"],"apc_list":{"value":3340,"currency":"USD","value_usd":3340},"apc_paid":null,"fwci":1.8281,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.85318946,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"18","issue":"1","first_page":"41","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9990000128746033,"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/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.8744526505470276},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.75689297914505},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6744281053543091},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5942728519439697},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5205567479133606},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5151932835578918},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5060994029045105},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5051708817481995},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4982573986053467},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44186657667160034},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4315095543861389},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4227885603904724},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.41673964262008667},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4057368338108063},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2731883227825165},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0807967483997345}],"concepts":[{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.8744526505470276},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.75689297914505},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6744281053543091},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5942728519439697},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5205567479133606},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5151932835578918},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5060994029045105},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5051708817481995},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4982573986053467},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44186657667160034},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4315095543861389},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4227885603904724},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.41673964262008667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4057368338108063},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2731883227825165},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0807967483997345},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/s0167-739x(00)00074-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-739x(00)00074-1","pdf_url":null,"source":{"id":"https://openalex.org/S186357190","display_name":"Future Generation Computer Systems","issn_l":"0167-739X","issn":["0167-739X","1872-7115"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Future Generation Computer Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.24.6161","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.6161","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dmsa.unipd.it/~zilli/future_genera.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.433.5782","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.433.5782","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dmsa.unipd.it/~berga/Research/Cimmino/bmz.pdf","raw_type":"text"},{"id":"pmh:oai:www.research.unipd.it:11577/2466130","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/2466130","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.6700000166893005}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1489385399","https://openalex.org/W1976013620","https://openalex.org/W2006452217","https://openalex.org/W2006682926","https://openalex.org/W2010775269","https://openalex.org/W2023782398","https://openalex.org/W2024972953","https://openalex.org/W2030942503","https://openalex.org/W2068484625","https://openalex.org/W2097897435","https://openalex.org/W2107501462"],"related_works":["https://openalex.org/W1970414682","https://openalex.org/W2283235658","https://openalex.org/W2325733899","https://openalex.org/W3022662421","https://openalex.org/W2066041241","https://openalex.org/W3120468868","https://openalex.org/W1507304317","https://openalex.org/W1567048268","https://openalex.org/W1970273404","https://openalex.org/W3040723915"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}