{"id":"https://openalex.org/W1624763321","doi":"https://doi.org/10.1023/a:1024098014869","title":"Numerical Behaviour of Higham's Scaled Method for Polar Decomposition","display_name":"Numerical Behaviour of Higham's Scaled Method for Polar Decomposition","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W1624763321","doi":"https://doi.org/10.1023/a:1024098014869","mag":"1624763321"},"language":"en","primary_location":{"id":"doi:10.1023/a:1024098014869","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1024098014869","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/A5001479749","display_name":"Andrzej Kie\u0142basi\u0144ski","orcid":null},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej Kie\u0142basi\u0144ski","raw_affiliation_strings":["Institute of Applied Mathematics and Mechanics, University of Warsaw, ul. Banacha 2, 02-097, Warsaw, Poland","Institute of Applied Mathematics and Mechanics University of Warsaw Warsaw Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematics and Mechanics, University of Warsaw, ul. Banacha 2, 02-097, Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"Institute of Applied Mathematics and Mechanics University of Warsaw Warsaw Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057660413","display_name":"Krystyna Zi\u0119tak","orcid":null},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Krystyna Zi\u0119tak","raw_affiliation_strings":["Institute of Mathematics, Wroc\u0142aw University of Technology, ul. Wybrze\u017ce Wyspia\u0144skiego 27, 50-370, Wroc\u0142aw, Poland","Institute of Mathematics, Wroc\u0142aw University of Technology, Wroclaw, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Wroc\u0142aw University of Technology, ul. Wybrze\u017ce Wyspia\u0144skiego 27, 50-370, Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I4210137370"]},{"raw_affiliation_string":"Institute of Mathematics, Wroc\u0142aw University of Technology, Wroclaw, Poland","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001479749"],"corresponding_institution_ids":["https://openalex.org/I4654613"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0997,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.75781082,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"2-4","first_page":"105","last_page":"140"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":1.0,"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":1.0,"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":0.9987000226974487,"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":0.9872000217437744,"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/invertible-matrix","display_name":"Invertible matrix","score":0.7349048852920532},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7211412191390991},{"id":"https://openalex.org/keywords/polar-decomposition","display_name":"Polar decomposition","score":0.5978901386260986},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5807955861091614},{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.4665659964084625},{"id":"https://openalex.org/keywords/lu-decomposition","display_name":"LU decomposition","score":0.4634072482585907},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.43551182746887207},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.41267067193984985},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3979235887527466},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.328694611787796},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.2916128635406494},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.233871728181839},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19458383321762085},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19393318891525269},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08326008915901184},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07401472330093384}],"concepts":[{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.7349048852920532},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7211412191390991},{"id":"https://openalex.org/C130956294","wikidata":"https://www.wikidata.org/wiki/Q2101158","display_name":"Polar decomposition","level":3,"score":0.5978901386260986},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5807955861091614},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.4665659964084625},{"id":"https://openalex.org/C123213974","wikidata":"https://www.wikidata.org/wiki/Q833089","display_name":"LU decomposition","level":4,"score":0.4634072482585907},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.43551182746887207},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.41267067193984985},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3979235887527466},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.328694611787796},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.2916128635406494},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.233871728181839},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19458383321762085},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19393318891525269},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08326008915901184},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07401472330093384},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1024098014869","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1024098014869","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":11,"referenced_works":["https://openalex.org/W16642740","https://openalex.org/W1967351325","https://openalex.org/W1969752991","https://openalex.org/W1981467185","https://openalex.org/W2020054862","https://openalex.org/W2079562210","https://openalex.org/W2088307891","https://openalex.org/W2125212434","https://openalex.org/W2148551624","https://openalex.org/W2798707604","https://openalex.org/W3144880049"],"related_works":["https://openalex.org/W2029876824","https://openalex.org/W1606786794","https://openalex.org/W2036524199","https://openalex.org/W821212653","https://openalex.org/W2362169687","https://openalex.org/W4386571691","https://openalex.org/W4389275421","https://openalex.org/W2085190139","https://openalex.org/W2094531379","https://openalex.org/W2004985604"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
