{"id":"https://openalex.org/W2003385101","doi":"https://doi.org/10.1007/s00371-003-0224-0","title":"Efficient method of adaptive sign detection for 4\ufffd4 determinants using a standard arithmetic processing unit","display_name":"Efficient method of adaptive sign detection for 4\ufffd4 determinants using a standard arithmetic processing unit","publication_year":2004,"publication_date":"2004-04-01","ids":{"openalex":"https://openalex.org/W2003385101","doi":"https://doi.org/10.1007/s00371-003-0224-0","mag":"2003385101"},"language":"en","primary_location":{"id":"doi:10.1007/s00371-003-0224-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-003-0224-0","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","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/A5069307433","display_name":"Toshiya Yamauchi","orcid":null},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Toshiya Yamauchi","raw_affiliation_strings":["Graduate School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, 169-8555, Shinjuku-ku, Tokyo, Japan","Waseda University, Graduate School of Science and Engineering, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, 169-8555, Shinjuku-ku, Tokyo, Japan","institution_ids":["https://openalex.org/I150744194"]},{"raw_affiliation_string":"Waseda University, Graduate School of Science and Engineering, Japan","institution_ids":["https://openalex.org/I150744194"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011292913","display_name":"Norimasa Yoshida","orcid":"https://orcid.org/0000-0001-8889-0949"},"institutions":[{"id":"https://openalex.org/I104946051","display_name":"Nihon University","ror":"https://ror.org/05jk51a88","country_code":"JP","type":"education","lineage":["https://openalex.org/I104946051"]},{"id":"https://openalex.org/I52706244","display_name":"College of Industrial Technology","ror":"https://ror.org/054a9s036","country_code":"JP","type":"education","lineage":["https://openalex.org/I52706244"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Norimasa Yoshida","raw_affiliation_strings":["Department of Industrial Engineering and Management, Nihon University, 1-2-1 Izumi-cho, 275-8575, Narashino City, Chiba, Japan","Nihon University, Department of Industrial Engineering and Management, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management, Nihon University, 1-2-1 Izumi-cho, 275-8575, Narashino City, Chiba, Japan","institution_ids":["https://openalex.org/I52706244"]},{"raw_affiliation_string":"Nihon University, Department of Industrial Engineering and Management, Japan#TAB#","institution_ids":["https://openalex.org/I104946051"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020529743","display_name":"Jun Doi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145865","display_name":"IBM Research - Tokyo","ror":"https://ror.org/04915qk43","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210145865"]},{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"Jun Doi","raw_affiliation_strings":["Tokyo Research Laboratory, IBM Japan, Ltd., 1623-14 Shimotsuruma, 242-8502, Yamato City, Kanagawa, Japan","IBM Japan, Ltd., Tokyo Research Laboratory, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Tokyo Research Laboratory, IBM Japan, Ltd., 1623-14 Shimotsuruma, 242-8502, Yamato City, Kanagawa, Japan","institution_ids":["https://openalex.org/I4210145865"]},{"raw_affiliation_string":"IBM Japan, Ltd., Tokyo Research Laboratory, Japan#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035911512","display_name":"Fujio Yamaguchi","orcid":null},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Fujio Yamaguchi","raw_affiliation_strings":["Department of Mechanical Engineering, School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, 169-8555, Shinjuku-ku, Tokyo, Japan","Waseda University, Department of Mechanical Engineering, School of Science and Engineering, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, 169-8555, Shinjuku-ku, Tokyo, Japan","institution_ids":["https://openalex.org/I150744194"]},{"raw_affiliation_string":"Waseda University, Department of Mechanical Engineering, School of Science and Engineering, Japan#TAB#","institution_ids":["https://openalex.org/I150744194"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5069307433"],"corresponding_institution_ids":["https://openalex.org/I150744194"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12138728,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"1","first_page":"37","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/sign","display_name":"Sign (mathematics)","score":0.7750948667526245},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7195377945899963},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6147886514663696},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5164904594421387},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48593226075172424},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.47250449657440186},{"id":"https://openalex.org/keywords/arbitrary-precision-arithmetic","display_name":"Arbitrary-precision arithmetic","score":0.4704799950122833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42150789499282837}],"concepts":[{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.7750948667526245},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7195377945899963},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6147886514663696},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5164904594421387},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48593226075172424},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.47250449657440186},{"id":"https://openalex.org/C83581934","wikidata":"https://www.wikidata.org/wiki/Q527381","display_name":"Arbitrary-precision arithmetic","level":2,"score":0.4704799950122833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42150789499282837},{"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:10.1007/s00371-003-0224-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00371-003-0224-0","pdf_url":null,"source":{"id":"https://openalex.org/S73060445","display_name":"The Visual Computer","issn_l":"0178-2789","issn":["0178-2789","1432-2315"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Visual Computer","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":13,"referenced_works":["https://openalex.org/W1538991644","https://openalex.org/W1576963132","https://openalex.org/W2008581147","https://openalex.org/W2012710379","https://openalex.org/W2016814475","https://openalex.org/W2022984527","https://openalex.org/W2082428308","https://openalex.org/W2087764435","https://openalex.org/W2090774435","https://openalex.org/W2121752747","https://openalex.org/W2144599263","https://openalex.org/W2169487506","https://openalex.org/W2320349011"],"related_works":["https://openalex.org/W2087454352","https://openalex.org/W1656092346","https://openalex.org/W2073476805","https://openalex.org/W2037029451","https://openalex.org/W2156774177","https://openalex.org/W1531645310","https://openalex.org/W2435153186","https://openalex.org/W2158464203","https://openalex.org/W2391934197","https://openalex.org/W2483576525"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}