{"id":"https://openalex.org/W2009415541","doi":"https://doi.org/10.1145/2631948.2631955","title":"Mixed and componentwise condition numbers for matrix decompositions","display_name":"Mixed and componentwise condition numbers for matrix decompositions","publication_year":2014,"publication_date":"2014-07-11","ids":{"openalex":"https://openalex.org/W2009415541","doi":"https://doi.org/10.1145/2631948.2631955","mag":"2009415541"},"language":"en","primary_location":{"id":"doi:10.1145/2631948.2631955","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2631948.2631955","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2014 Symposium on Symbolic-Numeric Computation","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/A5100774625","display_name":"Weiguo Wang","orcid":"https://orcid.org/0000-0002-8306-2658"},"institutions":[{"id":"https://openalex.org/I59028903","display_name":"Ocean University of China","ror":"https://ror.org/04rdtx186","country_code":"CN","type":"education","lineage":["https://openalex.org/I59028903"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei-guo Wang","raw_affiliation_strings":["Ocean University of China, Qingdao, P.R. China","Ocean University of China, Qingdao, P. R. China"],"affiliations":[{"raw_affiliation_string":"Ocean University of China, Qingdao, P.R. China","institution_ids":["https://openalex.org/I59028903"]},{"raw_affiliation_string":"Ocean University of China, Qingdao, P. R. China","institution_ids":["https://openalex.org/I59028903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014988509","display_name":"Yimin Wei","orcid":"https://orcid.org/0000-0001-6192-0546"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yimin Wei","raw_affiliation_strings":["Fudan University, Shanghai, P.R. China","[Fudan University, Shanghai, P.R. China]"],"affiliations":[{"raw_affiliation_string":"Fudan University, Shanghai, P.R. China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"[Fudan University, Shanghai, P.R. China]","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100774625"],"corresponding_institution_ids":["https://openalex.org/I59028903"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.08035004,"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":"31","last_page":"32"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9975000023841858,"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":0.9975000023841858,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9932000041007996,"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/T11130","display_name":"Coding theory and cryptography","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.9130592346191406},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5909299850463867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5268738865852356},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4471104145050049},{"id":"https://openalex.org/keywords/qr-decomposition","display_name":"QR decomposition","score":0.4355809986591339},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3850221335887909},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36696118116378784},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34590235352516174},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16725093126296997},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.16340214014053345},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06457778811454773},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.0557783842086792}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.9130592346191406},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5909299850463867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5268738865852356},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4471104145050049},{"id":"https://openalex.org/C188060507","wikidata":"https://www.wikidata.org/wiki/Q653242","display_name":"QR decomposition","level":3,"score":0.4355809986591339},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3850221335887909},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36696118116378784},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34590235352516174},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16725093126296997},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.16340214014053345},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06457778811454773},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0557783842086792},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2631948.2631955","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2631948.2631955","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2014 Symposium on Symbolic-Numeric Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5116857593","display_name":null,"funder_award_id":"11371333, 11271084","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5161429200","display_name":null,"funder_award_id":"ZR2013AM025","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W330730571","https://openalex.org/W1976069054","https://openalex.org/W1983686222","https://openalex.org/W2047418515","https://openalex.org/W2052529288","https://openalex.org/W2069065624","https://openalex.org/W2078488968"],"related_works":["https://openalex.org/W2982181895","https://openalex.org/W2739115385","https://openalex.org/W2035803264","https://openalex.org/W2039527536","https://openalex.org/W3035209767","https://openalex.org/W3007862902","https://openalex.org/W4306891336","https://openalex.org/W1965763148","https://openalex.org/W1966820346","https://openalex.org/W2967794374"],"abstract_inverted_index":{"We":[0],"present":[1],"the":[2],"explicit":[3],"expressions":[4],"of":[5],"mixed":[6],"and":[7,14],"componentwise":[8],"condition":[9],"numbers":[10],"for":[11],"LU,":[12],"Cholesky,":[13],"QR":[15],"decompositions":[16],"by":[17],"using":[18],"a":[19],"new":[20],"approach.":[21]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}