{"id":"https://openalex.org/W1938615502","doi":"https://doi.org/10.3233/jcm-2006-61-407","title":"O(n3) g-inversion-free noniterative near-consistent linear system solver for minimum-norm least-squares and nonnegative solutions","display_name":"O(n3) g-inversion-free noniterative near-consistent linear system solver for minimum-norm least-squares and nonnegative solutions","publication_year":2006,"publication_date":"2006-12-12","ids":{"openalex":"https://openalex.org/W1938615502","doi":"https://doi.org/10.3233/jcm-2006-61-407","mag":"1938615502"},"language":"en","primary_location":{"id":"doi:10.3233/jcm-2006-61-407","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jcm-2006-61-407","pdf_url":null,"source":{"id":"https://openalex.org/S2765058733","display_name":"Journal of Computational Methods in Sciences and Engineering","issn_l":"1472-7978","issn":["1472-7978","1875-8983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Methods in Sciences and Engineering","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/A5065907664","display_name":"Sagar Sen","orcid":"https://orcid.org/0000-0002-5784-7355"},"institutions":[{"id":"https://openalex.org/I106959904","display_name":"Florida Institute of Technology","ror":"https://ror.org/04atsbb87","country_code":"US","type":"education","lineage":["https://openalex.org/I106959904"]},{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"S.K. Sen","raw_affiliation_strings":["Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, Florida 32901-6975, USA","Modeling, Simulation and Design Laboratory, School of Computer Science, McGill University, 3480 University Street, Montreal, Quebec, Canada H3A 2A7"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, Florida 32901-6975, USA","institution_ids":["https://openalex.org/I106959904"]},{"raw_affiliation_string":"Modeling, Simulation and Design Laboratory, School of Computer Science, McGill University, 3480 University Street, Montreal, Quebec, Canada H3A 2A7","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065907664","display_name":"Sagar Sen","orcid":"https://orcid.org/0000-0002-5784-7355"},"institutions":[{"id":"https://openalex.org/I106959904","display_name":"Florida Institute of Technology","ror":"https://ror.org/04atsbb87","country_code":"US","type":"education","lineage":["https://openalex.org/I106959904"]},{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA","US"],"is_corresponding":false,"raw_author_name":"Sagar Sen","raw_affiliation_strings":["Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, Florida 32901-6975, USA","Modeling, Simulation and Design Laboratory, School of Computer Science, McGill University, 3480 University Street, Montreal, Quebec, Canada H3A 2A7"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, Florida 32901-6975, USA","institution_ids":["https://openalex.org/I106959904"]},{"raw_affiliation_string":"Modeling, Simulation and Design Laboratory, School of Computer Science, McGill University, 3480 University Street, Montreal, Quebec, Canada H3A 2A7","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3327,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.57856114,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"6","issue":"1-4","first_page":"71","last_page":"85"},"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":0.998199999332428,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9918000102043152,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5844870805740356},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.5720257759094238},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5656549334526062},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5405747890472412},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.46269023418426514},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39003241062164307},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2597762942314148},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2065267264842987},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.11131608486175537},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.07396024465560913},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.03824692964553833}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5844870805740356},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.5720257759094238},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5656549334526062},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5405747890472412},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.46269023418426514},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39003241062164307},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2597762942314148},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2065267264842987},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.11131608486175537},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.07396024465560913},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.03824692964553833},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jcm-2006-61-407","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jcm-2006-61-407","pdf_url":null,"source":{"id":"https://openalex.org/S2765058733","display_name":"Journal of Computational Methods in Sciences and Engineering","issn_l":"1472-7978","issn":["1472-7978","1875-8983"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational Methods in Sciences and Engineering","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":12,"referenced_works":["https://openalex.org/W204112085","https://openalex.org/W1502286077","https://openalex.org/W1974511160","https://openalex.org/W2002115813","https://openalex.org/W2036171046","https://openalex.org/W2036339872","https://openalex.org/W2037755870","https://openalex.org/W2038087013","https://openalex.org/W2047246398","https://openalex.org/W2060667279","https://openalex.org/W2156054590","https://openalex.org/W2408369932"],"related_works":["https://openalex.org/W2186864281","https://openalex.org/W4255427455","https://openalex.org/W1966025497","https://openalex.org/W68941528","https://openalex.org/W4206451355","https://openalex.org/W1553604823","https://openalex.org/W8322802","https://openalex.org/W2044779088","https://openalex.org/W2070727579","https://openalex.org/W2144299910"],"abstract_inverted_index":{"Presented":[0],"here":[1],"is":[2],"an":[3],"O(mn2":[4],")":[5],"physically":[6],"concise":[7],"algorithm":[8],"(solver)":[9],"to":[10],"obtain":[11],"noniteratively":[12],"a":[13],"minimum-norm":[14],"(m-)":[15],"solution":[16],"of":[17],"the":[18,31],"consistent":[19],"under-/over-determined":[20],"linear":[21],"system":[22],"Ax=b":[23],"without":[24],"computing":[25],"any":[26],"generalized":[27],"inverse":[28],"(g-inverse),":[29],"where":[30],"matr":[32]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2025-10-10T00:00:00"}
