{"id":"https://openalex.org/W1970330626","doi":"https://doi.org/10.1002/spe.4380180307","title":"A practical solution for a large sparse matrix","display_name":"A practical solution for a large sparse matrix","publication_year":1988,"publication_date":"1988-03-01","ids":{"openalex":"https://openalex.org/W1970330626","doi":"https://doi.org/10.1002/spe.4380180307","mag":"1970330626"},"language":"en","primary_location":{"id":"doi:10.1002/spe.4380180307","is_oa":false,"landing_page_url":"https://doi.org/10.1002/spe.4380180307","pdf_url":null,"source":{"id":"https://openalex.org/S122199241","display_name":"Software Practice and Experience","issn_l":"0038-0644","issn":["0038-0644","1097-024X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Software: Practice and Experience","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/A5079434052","display_name":"Irvin Roy Hentzel","orcid":null},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"I. R. Hentzel","raw_affiliation_strings":["Dept. of Mathematics, Iowa State University, Ames, IA 50011, U.S.A","Iowa State University Ames,"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, Iowa State University, Ames, IA 50011, U.S.A","institution_ids":[]},{"raw_affiliation_string":"Iowa State University Ames,","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025333045","display_name":"David Pokrass","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. J. Pokrass","raw_affiliation_strings":["Dept, of Computer Science, Clemson University, Clemson, SC 29634, U.S.A","Clemson University Clemson. SC"],"affiliations":[{"raw_affiliation_string":"Dept, of Computer Science, Clemson University, Clemson, SC 29634, U.S.A","institution_ids":[]},{"raw_affiliation_string":"Clemson University Clemson. SC","institution_ids":["https://openalex.org/I8078737"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079434052"],"corresponding_institution_ids":["https://openalex.org/I173911158"],"apc_list":{"value":4220,"currency":"USD","value_usd":4220},"apc_paid":null,"fwci":0.5157,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57629014,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"3","first_page":"279","last_page":"283"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9958999752998352,"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":0.9958999752998352,"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":0.9731000065803528,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9613999724388123,"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/matrix","display_name":"Matrix (chemical analysis)","score":0.7264121770858765},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6649578809738159},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.6613494157791138},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5953753590583801},{"id":"https://openalex.org/keywords/matrix-free-methods","display_name":"Matrix-free methods","score":0.5765401124954224},{"id":"https://openalex.org/keywords/integer-matrix","display_name":"Integer matrix","score":0.5654615759849548},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5461441874504089},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4871025085449219},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4069761633872986},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3582555055618286},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3341900110244751},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.32227057218551636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28822702169418335},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.2726189196109772},{"id":"https://openalex.org/keywords/nonnegative-matrix","display_name":"Nonnegative matrix","score":0.26256147027015686},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.0973595678806305},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.085762619972229}],"concepts":[{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.7264121770858765},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6649578809738159},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.6613494157791138},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5953753590583801},{"id":"https://openalex.org/C54219892","wikidata":"https://www.wikidata.org/wiki/Q4080929","display_name":"Matrix-free methods","level":4,"score":0.5765401124954224},{"id":"https://openalex.org/C62555958","wikidata":"https://www.wikidata.org/wiki/Q6042601","display_name":"Integer matrix","level":5,"score":0.5654615759849548},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5461441874504089},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4871025085449219},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4069761633872986},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3582555055618286},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3341900110244751},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.32227057218551636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28822702169418335},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.2726189196109772},{"id":"https://openalex.org/C139018669","wikidata":"https://www.wikidata.org/wiki/Q6961560","display_name":"Nonnegative matrix","level":4,"score":0.26256147027015686},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0973595678806305},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.085762619972229},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/spe.4380180307","is_oa":false,"landing_page_url":"https://doi.org/10.1002/spe.4380180307","pdf_url":null,"source":{"id":"https://openalex.org/S122199241","display_name":"Software Practice and Experience","issn_l":"0038-0644","issn":["0038-0644","1097-024X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Software: Practice and Experience","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":5,"referenced_works":["https://openalex.org/W2024962498","https://openalex.org/W2104758688","https://openalex.org/W2112747630","https://openalex.org/W2328352155","https://openalex.org/W2593170163"],"related_works":["https://openalex.org/W2048541553","https://openalex.org/W2375913285","https://openalex.org/W2366105249","https://openalex.org/W1975527650","https://openalex.org/W2185598862","https://openalex.org/W810196809","https://openalex.org/W2155596814","https://openalex.org/W1970330626","https://openalex.org/W269255805","https://openalex.org/W2001342884"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"describes":[3],"a":[4,13,28],"computational":[5],"technique":[6],"that":[7],"was":[8,27],"used":[9,53],"for":[10,41,61],"determining":[11],"whether":[12],"certain":[14,42],"matrix":[15,80,83],"equation,":[16],"Mx":[17],"=":[18],"b,":[19],"had":[20],"an":[21,38],"exact":[22],"solution.":[23],"Here,":[24],"M":[25],"T":[26],"sparse":[29],"96,208":[30],"\u00d7":[31],"40,040":[32],"integer":[33],"matrix.":[34],"The":[35,51],"approach":[36],"is":[37,71],"appropriate":[39],"alternative":[40],"matrices":[43],"when":[44],"memory":[45,63],"constraints":[46],"preclude":[47],"using":[48],"conventional":[49],"techniques.":[50],"tools":[52],"are":[54],"simple":[55],"and":[56],"their":[57],"data":[58,75],"structures":[59,76],"well\u2010suited":[60],"virtual":[62],"computers.":[64],"An":[65],"important":[66],"aspect":[67],"of":[68,88],"the":[69,79,82,86,89],"method":[70],"to":[72,77],"adopt":[73],"different":[74],"represent":[78],"as":[81],"changes":[84],"over":[85],"course":[87],"problem.":[90]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
