{"id":"https://openalex.org/W1972527561","doi":"https://doi.org/10.1016/s0096-3003(03)00140-1","title":"Graphical operation of vectors and matrices","display_name":"Graphical operation of vectors and matrices","publication_year":2003,"publication_date":"2003-09-22","ids":{"openalex":"https://openalex.org/W1972527561","doi":"https://doi.org/10.1016/s0096-3003(03)00140-1","mag":"1972527561"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(03)00140-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(03)00140-1","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5073835833","display_name":"Tzong-Mou Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137066","display_name":"Far East University","ror":"https://ror.org/03ms7mr17","country_code":"TW","type":"education","lineage":["https://openalex.org/I4210137066"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Tzong-Mou Wu","raw_affiliation_strings":["Department of Mechanical Engineering, Far East College, Tainan 744, Taiwan","Department of Mechanical Engineering, Far East College, Tainan 744, Taiwan#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Far East College, Tainan 744, Taiwan","institution_ids":["https://openalex.org/I4210137066"]},{"raw_affiliation_string":"Department of Mechanical Engineering, Far East College, Tainan 744, Taiwan#TAB#","institution_ids":["https://openalex.org/I4210137066"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052566767","display_name":"Cha\u2019o-Kuang Chen","orcid":"https://orcid.org/0000-0002-1273-9991"},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Cha\u2019o-Kuang Chen","raw_affiliation_strings":["Department of Mechanical Engineering, National Cheng-Kung University, Tainan 701, Taiwan","Department of Mechanical Engineering, National Cheng Kung University Tainan 701, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, National Cheng-Kung University, Tainan 701, Taiwan","institution_ids":["https://openalex.org/I91807558"]},{"raw_affiliation_string":"Department of Mechanical Engineering, National Cheng Kung University Tainan 701, Taiwan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052566767"],"corresponding_institution_ids":["https://openalex.org/I91807558"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.09044472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"149","issue":"1","first_page":"259","last_page":"276"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11283","display_name":"Experimental Learning in Engineering","score":0.9761999845504761,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.5655096173286438},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5496925711631775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5488002896308899},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.5196284651756287},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.510190486907959},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4989619255065918},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4899868071079254},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4885907769203186},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4562763273715973},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.4556198716163635},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36579710245132446},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36138632893562317},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34352731704711914},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20298299193382263},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1916721761226654},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13549435138702393},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10249313712120056},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08993673324584961}],"concepts":[{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.5655096173286438},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5496925711631775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5488002896308899},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.5196284651756287},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.510190486907959},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4989619255065918},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4899868071079254},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4885907769203186},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4562763273715973},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.4556198716163635},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36579710245132446},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36138632893562317},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34352731704711914},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20298299193382263},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1916721761226654},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13549435138702393},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10249313712120056},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08993673324584961},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(03)00140-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(03)00140-1","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/W599041379","https://openalex.org/W1519963105","https://openalex.org/W1536101558","https://openalex.org/W1586690283","https://openalex.org/W1999345573","https://openalex.org/W2013901570","https://openalex.org/W2029886870","https://openalex.org/W2041089343","https://openalex.org/W2042704969","https://openalex.org/W2047790512","https://openalex.org/W2083248537","https://openalex.org/W2093993535","https://openalex.org/W2146724478","https://openalex.org/W2166036481","https://openalex.org/W2246023205","https://openalex.org/W2316929567","https://openalex.org/W2913974655"],"related_works":["https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W752783541","https://openalex.org/W1506547947","https://openalex.org/W2369456215","https://openalex.org/W2606147208","https://openalex.org/W4206811032","https://openalex.org/W2995605830","https://openalex.org/W2383559214","https://openalex.org/W2086123442"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}