{"id":"https://openalex.org/W2075085406","doi":"https://doi.org/10.1080/10637199808947368","title":"A LINEAR ARRAY FOR LARGE SPARSE MATRIX OPERATIONS \u2013 II TRIANGULAR SYSTEM SOLVERS AND MATRIX MULTIPLICATION","display_name":"A LINEAR ARRAY FOR LARGE SPARSE MATRIX OPERATIONS \u2013 II TRIANGULAR SYSTEM SOLVERS AND MATRIX MULTIPLICATION","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2075085406","doi":"https://doi.org/10.1080/10637199808947368","mag":"2075085406"},"language":"en","primary_location":{"id":"doi:10.1080/10637199808947368","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10637199808947368","pdf_url":null,"source":{"id":"https://openalex.org/S89732838","display_name":"Parallel algorithms and applications","issn_l":"1026-7689","issn":["1026-7689","1029-032X","1063-7192"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Algorithms and Applications","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/A5005292649","display_name":"M.V. PADMINI","orcid":null},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M.V. PADMINI","raw_affiliation_strings":["Department of Computer Science and Engineering , Indian Institute of Technology , New Delhi, 110 016, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering , Indian Institute of Technology , New Delhi, 110 016, India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109226356","display_name":"Bharat B. Madan","orcid":null},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B.B. MADAN","raw_affiliation_strings":["Department of Computer Science and Engineering , Indian Institute of Technology , New Delhi, 110 016, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering , Indian Institute of Technology , New Delhi, 110 016, India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024433827","display_name":"B.N. Jain","orcid":"https://orcid.org/0009-0006-4436-6874"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B.N. JAIN","raw_affiliation_strings":["Department of Computer Science and Engineering , Indian Institute of Technology , New Delhi, 110 016, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering , Indian Institute of Technology , New Delhi, 110 016, India","institution_ids":["https://openalex.org/I68891433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4899,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67180747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"3","first_page":"217","last_page":"237"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9979000091552734,"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":0.9979000091552734,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9650999903678894,"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/triangular-matrix","display_name":"Triangular matrix","score":0.7859904766082764},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.747469425201416},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6947672367095947},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.6785672307014465},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.6126453280448914},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5619117021560669},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4663829803466797},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.41622093319892883},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4154149889945984},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38527846336364746},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.32928240299224854},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2306409478187561},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.12345185875892639},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08969786763191223},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08189135789871216},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.0769476592540741},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0642693042755127}],"concepts":[{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.7859904766082764},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.747469425201416},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6947672367095947},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.6785672307014465},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.6126453280448914},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5619117021560669},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4663829803466797},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.41622093319892883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4154149889945984},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38527846336364746},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32928240299224854},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2306409478187561},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.12345185875892639},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08969786763191223},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08189135789871216},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.0769476592540741},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0642693042755127},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10637199808947368","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10637199808947368","pdf_url":null,"source":{"id":"https://openalex.org/S89732838","display_name":"Parallel algorithms and applications","issn_l":"1026-7689","issn":["1026-7689","1029-032X","1063-7192"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Algorithms and Applications","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":9,"referenced_works":["https://openalex.org/W35026418","https://openalex.org/W99664293","https://openalex.org/W1670573704","https://openalex.org/W2003554808","https://openalex.org/W2015656182","https://openalex.org/W2088501249","https://openalex.org/W2089437293","https://openalex.org/W2091073479","https://openalex.org/W2752093666"],"related_works":["https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W752783541","https://openalex.org/W1506547947","https://openalex.org/W2901773673","https://openalex.org/W4206811032","https://openalex.org/W2995605830","https://openalex.org/W2086123442","https://openalex.org/W2133366228","https://openalex.org/W2596457687"],"abstract_inverted_index":{"Two":[0],"triangular":[1,8,16],"system":[2,9],"solvers,":[3],"one":[4],"for":[5,13],"the":[6,11,14,23,36,39,47,58],"lower":[7],"and":[10,20],"other":[12],"upper":[15],"system,":[17],"are":[18],"developed":[19],"implemented":[21,56],"on":[22,57],"linear":[24,59,62],"array.":[25],"Tests":[26],"conducted":[27],"with":[28],"respect":[29],"to":[30,65],"these":[31],"two":[32],"solvers":[33],"reveal":[34],"that":[35,45,54],"performance":[37],"of":[38,46],"backward":[40],"solver":[41],"is":[42,55],"better":[43],"than":[44],"forward":[48],"solver.":[49],"The":[50],"matrix":[51],"multiplication":[52],"routine":[53],"array":[60],"shows":[61],"speed-up":[63],"up":[64],"64":[66],"processors.":[67]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}