{"id":"https://openalex.org/W2054443401","doi":"https://doi.org/10.1145/1050330.1050369","title":"Algorithm and software implementation of QR decomposition of rectangular matrices","display_name":"Algorithm and software implementation of QR decomposition of rectangular matrices","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2054443401","doi":"https://doi.org/10.1145/1050330.1050369","mag":"2054443401"},"language":"en","primary_location":{"id":"doi:10.1145/1050330.1050369","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1050330.1050369","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th international conference on Computer systems and technologies - CompSysTech '04","raw_type":"proceedings-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/A5050168955","display_name":"Todor Stoilov","orcid":"https://orcid.org/0000-0003-0321-092X"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Todor Stoilov","raw_affiliation_strings":["Bulgarian Academy of Sciences","#TAB#Bulgarian Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Bulgarian Academy of Sciences","institution_ids":["https://openalex.org/I24768866"]},{"raw_affiliation_string":"#TAB#Bulgarian Academy of Sciences","institution_ids":["https://openalex.org/I24768866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022534331","display_name":"Krasimira Stoilova","orcid":"https://orcid.org/0000-0002-3145-3016"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Krasimira Stoilova","raw_affiliation_strings":["Bulgarian Academy of Sciences","#TAB#Bulgarian Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Bulgarian Academy of Sciences","institution_ids":["https://openalex.org/I24768866"]},{"raw_affiliation_string":"#TAB#Bulgarian Academy of Sciences","institution_ids":["https://openalex.org/I24768866"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050168955"],"corresponding_institution_ids":["https://openalex.org/I24768866"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.1451974,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.08959999680519104,"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":0.08959999680519104,"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/T11797","display_name":"graph theory and CDMA systems","score":0.06449999660253525,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13270","display_name":"QR Code Applications and Technologies","score":0.05530000105500221,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/qr-decomposition","display_name":"QR decomposition","score":0.7690466642379761},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6701663732528687},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6095216274261475},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.5198367238044739},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4676349461078644},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35359692573547363},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.17501240968704224},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.10132163763046265},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06076118350028992}],"concepts":[{"id":"https://openalex.org/C188060507","wikidata":"https://www.wikidata.org/wiki/Q653242","display_name":"QR decomposition","level":3,"score":0.7690466642379761},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6701663732528687},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6095216274261475},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.5198367238044739},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4676349461078644},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35359692573547363},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.17501240968704224},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.10132163763046265},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06076118350028992},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1050330.1050369","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1050330.1050369","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 5th international conference on Computer systems and technologies - CompSysTech '04","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W2301578881"],"related_works":["https://openalex.org/W2078349096","https://openalex.org/W2002598339","https://openalex.org/W2150953077","https://openalex.org/W1599936522","https://openalex.org/W2006707200","https://openalex.org/W4388311419","https://openalex.org/W3200716635","https://openalex.org/W4285580088","https://openalex.org/W3215209251","https://openalex.org/W4225492969"],"abstract_inverted_index":{"The":[0,29],"QR":[1],"decomposition":[2,16],"in":[3],"linear":[4,64],"algebra":[5,65],"calculation":[6],"is":[7,50],"widely":[8],"applied.":[9],"Despite":[10],"that":[11],"the":[12,15,34,48],"algorithms":[13],"for":[14,26,39,56],"are":[17],"available,":[18],"it":[19],"lacks":[20],"explanations":[21],"how":[22],"to":[23,37],"implement":[24],"them":[25],"non-square":[27],"matrices.":[28,43],"research":[30],"gives":[31],"descriptions":[32],"about":[33],"modifications,":[35],"needed":[36],"apply":[38],"rectangular":[40],"form":[41],"of":[42,47],"A":[44],"software":[45],"implementation":[46],"algorithm":[49],"presented.":[51],"It":[52],"can":[53],"be":[54],"used":[55],"client":[57],"or":[58],"server":[59],"side":[60],"programming":[61],"tools,":[62],"performing":[63],"calculations":[66],"and":[67],"optimization.":[68]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-03T08:47:05.690250","created_date":"2025-10-10T00:00:00"}