{"id":"https://openalex.org/W2086929421","doi":"https://doi.org/10.1080/00207169608804527","title":"The Block Successive Relaxation Additive Tterative method for least squares problems","display_name":"The Block Successive Relaxation Additive Tterative method for least squares problems","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2086929421","doi":"https://doi.org/10.1080/00207169608804527","mag":"2086929421"},"language":"en","primary_location":{"id":"doi:10.1080/00207169608804527","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169608804527","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5065466750","display_name":"M. Madalena Martins","orcid":"https://orcid.org/0000-0003-1694-5204"},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"M. M. Martins","raw_affiliation_strings":["Parallel Algorithms Research Centre , Loughborough University of Technology , Loughborough, Leicestershire, 11, U.K"],"affiliations":[{"raw_affiliation_string":"Parallel Algorithms Research Centre , Loughborough University of Technology , Loughborough, Leicestershire, 11, U.K","institution_ids":["https://openalex.org/I143804889"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103518679","display_name":"D. J. Evans","orcid":null},"institutions":[{"id":"https://openalex.org/I143804889","display_name":"Loughborough University","ror":"https://ror.org/04vg4w365","country_code":"GB","type":"education","lineage":["https://openalex.org/I143804889"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"D. J. Evans","raw_affiliation_strings":["Parallel Algorithms Research Centre , Loughborough University of Technology , Loughborough, Leicestershire, 11, U.K"],"affiliations":[{"raw_affiliation_string":"Parallel Algorithms Research Centre , Loughborough University of Technology , Loughborough, Leicestershire, 11, U.K","institution_ids":["https://openalex.org/I143804889"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065466750"],"corresponding_institution_ids":["https://openalex.org/I143804889"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21684231,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"62","issue":"1-2","first_page":"89","last_page":"99"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980999827384949,"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":0.9980999827384949,"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":0.9901000261306763,"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":0.9890000224113464,"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":0.8481559753417969},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.8193454146385193},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.7334743738174438},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.6271833181381226},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6010443568229675},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5671639442443848},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5262119770050049},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3435770273208618},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2362440824508667},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15077924728393555}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8481559753417969},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.8193454146385193},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.7334743738174438},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.6271833181381226},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6010443568229675},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5671639442443848},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5262119770050049},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3435770273208618},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2362440824508667},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15077924728393555},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169608804527","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169608804527","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W81808446","https://openalex.org/W1970261865","https://openalex.org/W1971947347","https://openalex.org/W1975000694","https://openalex.org/W2025155303","https://openalex.org/W2037850511","https://openalex.org/W2095612319","https://openalex.org/W2104183282","https://openalex.org/W2569133694","https://openalex.org/W2588081979","https://openalex.org/W3035235874","https://openalex.org/W4299343067","https://openalex.org/W4302769929"],"related_works":["https://openalex.org/W2372403409","https://openalex.org/W4242726756","https://openalex.org/W1517908938","https://openalex.org/W2084105443","https://openalex.org/W1979328687","https://openalex.org/W2091618907","https://openalex.org/W226927276","https://openalex.org/W144832045","https://openalex.org/W2281834912","https://openalex.org/W2412311587"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3],"Block":[4],"Successive":[5],"Relaxation":[6],"Additive":[7],"Iterative":[8],"method":[9,33],"is":[10],"considered":[11],"for":[12,31],"2":[13],"cyclic":[14],"block":[15,28],"matrices":[16],"derived":[17],"from":[18],"least":[19],"squares":[20],"problems.":[21],"The":[22],"convergence":[23],"conditions":[24],"and":[25],"the":[26,32],"optimum":[27],"relaxation":[29],"parameter":[30],"are":[34],"derived.":[35]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}