{"id":"https://openalex.org/W1965211583","doi":"https://doi.org/10.1007/s11075-004-3996-z","title":"Newton-Like Iteration Based on a Cubic Polynomial for Structured Matrices","display_name":"Newton-Like Iteration Based on a Cubic Polynomial for Structured Matrices","publication_year":2004,"publication_date":"2004-08-01","ids":{"openalex":"https://openalex.org/W1965211583","doi":"https://doi.org/10.1007/s11075-004-3996-z","mag":"1965211583"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-004-3996-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-004-3996-z","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5032907035","display_name":"Gianni Codevico","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Gianni Codevico","raw_affiliation_strings":["Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Leuven (Heverlee), Belgium","Department of Computer Science, Katholieke Universiteit Leuven, Leuven/Heverlee, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Leuven (Heverlee), Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Department of Computer Science, Katholieke Universiteit Leuven, Leuven/Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056866601","display_name":"Victor Y. Pan","orcid":"https://orcid.org/0000-0002-9819-9358"},"institutions":[{"id":"https://openalex.org/I161301626","display_name":"Lehman College","ror":"https://ror.org/03m908832","country_code":"US","type":"education","lineage":["https://openalex.org/I161301626"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Victor Y. Pan","raw_affiliation_strings":["Department of Mathematics and Computer Science, Lehman College of CUNY, Bronx, NY, 10468, USA","Department of Mathematics and Computer Science, Lehman College of CUNY, Bronx, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Lehman College of CUNY, Bronx, NY, 10468, USA","institution_ids":["https://openalex.org/I161301626"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Lehman College of CUNY, Bronx, USA","institution_ids":["https://openalex.org/I161301626"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052654029","display_name":"Marc Van Barel","orcid":"https://orcid.org/0000-0002-7372-382X"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Marc Van Barel","raw_affiliation_strings":["Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Leuven (Heverlee), Belgium","Department of Computer Science, Katholieke Universiteit Leuven, Leuven/Heverlee, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Leuven (Heverlee), Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"Department of Computer Science, Katholieke Universiteit Leuven, Leuven/Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5032907035"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3484,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.59034106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"36","issue":"4","first_page":"365","last_page":"380"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9933000206947327,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7906529903411865},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.7364585399627686},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5799576044082642},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5615841746330261},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5385395884513855},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.509121835231781},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46169599890708923},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.46095114946365356},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4293524920940399},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.395698219537735},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2796778380870819},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2767084836959839},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.234785795211792},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10995081067085266},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.099179208278656}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7906529903411865},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.7364585399627686},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5799576044082642},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5615841746330261},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5385395884513855},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.509121835231781},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46169599890708923},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.46095114946365356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4293524920940399},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.395698219537735},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2796778380870819},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2767084836959839},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.234785795211792},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10995081067085266},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.099179208278656},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-004-3996-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-004-3996-z","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W21639112","https://openalex.org/W208025404","https://openalex.org/W597037559","https://openalex.org/W1489355995","https://openalex.org/W1504797307","https://openalex.org/W1606124404","https://openalex.org/W1628239836","https://openalex.org/W1981745143","https://openalex.org/W1984755089","https://openalex.org/W1984869715","https://openalex.org/W1986676404","https://openalex.org/W2007653503","https://openalex.org/W2010961009","https://openalex.org/W2011818056","https://openalex.org/W2041922262","https://openalex.org/W2047954521","https://openalex.org/W2048134878","https://openalex.org/W2053225713","https://openalex.org/W2055547925","https://openalex.org/W2072079032","https://openalex.org/W2072223610","https://openalex.org/W2073998620","https://openalex.org/W2115515485","https://openalex.org/W2130716376","https://openalex.org/W2227765736","https://openalex.org/W2521750541","https://openalex.org/W2798909945","https://openalex.org/W6604339677"],"related_works":["https://openalex.org/W2349424752","https://openalex.org/W4285325102","https://openalex.org/W2088160032","https://openalex.org/W2358739842","https://openalex.org/W2185794209","https://openalex.org/W1844423250","https://openalex.org/W2104711345","https://openalex.org/W2358591430","https://openalex.org/W2350788688","https://openalex.org/W1587529507"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}