{"id":"https://openalex.org/W2092614839","doi":"https://doi.org/10.1080/10637199408962544","title":"TWO-SIDED ELIMINATION ALGORITHM FOR PARALLEL SOLUTION OF LINEAR EQUATIONS USING HOUSEHOLDER REDUCTIONS","display_name":"TWO-SIDED ELIMINATION ALGORITHM FOR PARALLEL SOLUTION OF LINEAR EQUATIONS USING HOUSEHOLDER REDUCTIONS","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W2092614839","doi":"https://doi.org/10.1080/10637199408962544","mag":"2092614839"},"language":"en","primary_location":{"id":"doi:10.1080/10637199408962544","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10637199408962544","pdf_url":null,"source":{"id":"https://openalex.org/S85375271","display_name":"International Journal of Parallel Emergent and Distributed Systems","issn_l":"1026-7689","issn":["1026-7689","1029-032X","1063-7192","1744-5760","1744-5779"],"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":"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/A5109529933","display_name":"K. N. Balasubramanya Murthy","orcid":null},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"education","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. N. BALASUBRAMANYA MURTHY","raw_affiliation_strings":["Department of Computer Science and Engineering, Indian Institute of Technology, Madras, 600 036, India","Department of Computer Science and Engineering, Indian Institute of Technology, Madras-600 036, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Technology, Madras, 600 036, India","institution_ids":["https://openalex.org/I24676775"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Technology, Madras-600 036, India","institution_ids":["https://openalex.org/I24676775"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012659086","display_name":"C. Siva Ram Murthy","orcid":"https://orcid.org/0000-0002-1032-8857"},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"education","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"C. SIVA RAM MURTHY","raw_affiliation_strings":["Department of Computer Science and Engineering, Indian Institute of Technology, Madras, 600 036, India","Department of Computer Science and Engineering, Indian Institute of Technology, Madras-600 036, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Technology, Madras, 600 036, India","institution_ids":["https://openalex.org/I24676775"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Technology, Madras-600 036, India","institution_ids":["https://openalex.org/I24676775"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I24676775"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2390195,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":"3-4","first_page":"287","last_page":"309"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9987999796867371,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multiprocessing","display_name":"Multiprocessing","score":0.7003947496414185},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6796151399612427},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.615129828453064},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.6070013642311096},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.5149067640304565},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4606795907020569},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.44556087255477905},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.43615949153900146},{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.41063374280929565},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27324286103248596}],"concepts":[{"id":"https://openalex.org/C4822641","wikidata":"https://www.wikidata.org/wiki/Q846651","display_name":"Multiprocessing","level":2,"score":0.7003947496414185},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6796151399612427},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.615129828453064},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.6070013642311096},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.5149067640304565},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4606795907020569},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.44556087255477905},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.43615949153900146},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.41063374280929565},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27324286103248596},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10637199408962544","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10637199408962544","pdf_url":null,"source":{"id":"https://openalex.org/S85375271","display_name":"International Journal of Parallel Emergent and Distributed Systems","issn_l":"1026-7689","issn":["1026-7689","1029-032X","1063-7192","1744-5760","1744-5779"],"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":"Parallel Algorithms and Applications","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":17,"referenced_works":["https://openalex.org/W2011913132","https://openalex.org/W2025912094","https://openalex.org/W2054335331","https://openalex.org/W2057108708","https://openalex.org/W2070698221","https://openalex.org/W2080038255","https://openalex.org/W2086564156","https://openalex.org/W2086694627","https://openalex.org/W2089309544","https://openalex.org/W2093184664","https://openalex.org/W2102140633","https://openalex.org/W2156281098","https://openalex.org/W2169173369","https://openalex.org/W2248138998","https://openalex.org/W2330756801","https://openalex.org/W2798909945","https://openalex.org/W3141390961"],"related_works":["https://openalex.org/W3093207677","https://openalex.org/W2753964365","https://openalex.org/W2221439609","https://openalex.org/W1997332808","https://openalex.org/W2162737912","https://openalex.org/W2028685923","https://openalex.org/W2963531223","https://openalex.org/W2892294903","https://openalex.org/W3046001238","https://openalex.org/W2075324938"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,84],"present":[4,59],"a":[5,60],"new":[6,26],"and":[7,31,35,89],"efficient":[8,74],"parallel":[9],"algorithm":[10,27,70,94],"for":[11,63,73],"the":[12,22,25,37,50,65,69,78,86,90,93],"solution":[13],"of":[14,77,92],"linear":[15],"equations":[16],"based":[17,48],"on":[18,49,80,95],"Householder":[19,51],"reductions,":[20],"Unlike":[21],"existing":[23],"methods,":[24],"integrates":[28],"both":[29],"triangula-tion":[30],"back":[32,38],"substitution":[33,39],"phases,":[34],"replaces":[36],"phase":[40],"by":[41],"only":[42],"one":[43],"step":[44],"division.":[45],"Further,":[46],"being":[47],"method,":[52],"it":[53],"has":[54],"unconditional":[55],"numerical":[56],"stability.":[57],"We":[58],"scheduling":[61],"scheme":[62],"assigning":[64],"computational":[66],"tasks":[67],"in":[68],"onto":[71],"processors":[72],"implementation":[75],"(":[76],"algorithm)":[79],"multiprocessor":[81,97],"systems.":[82,98],"Also,":[83],"discuss":[85],"error":[87],"analysis":[88],"performance":[91],"hypercube":[96]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}