{"id":"https://openalex.org/W2088138737","doi":"https://doi.org/10.1016/s0096-3003(98)10142-x","title":"Solution of the system of linear algebraic equations by decreasing dimension","display_name":"Solution of the system of linear algebraic equations by decreasing dimension","publication_year":2000,"publication_date":"2000-03-01","ids":{"openalex":"https://openalex.org/W2088138737","doi":"https://doi.org/10.1016/s0096-3003(98)10142-x","mag":"2088138737"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(98)10142-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(98)10142-x","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/A5100367740","display_name":"Hailong Wang","orcid":"https://orcid.org/0000-0001-7014-0816"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hailong Wang","raw_affiliation_strings":["Tsinghua University, Room 410, Building No. 19, Beijing 100084, People's Republic of China","Tsinghua University, Room 410, Building No. 19, Beijing 100084, People's Republic of China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University, Room 410, Building No. 19, Beijing 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Tsinghua University, Room 410, Building No. 19, Beijing 100084, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113829671","display_name":"Jiang Jianjing","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianjing Jiang","raw_affiliation_strings":["Tsinghua University, Room 410, Building No. 19, Beijing 100084, People's Republic of China","Tsinghua University, Room 410, Building No. 19, Beijing 100084, People's Republic of China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tsinghua University, Room 410, Building No. 19, Beijing 100084, People's Republic of China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Tsinghua University, Room 410, Building No. 19, Beijing 100084, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100367740"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.9914,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.80462658,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"109","issue":"1","first_page":"51","last_page":"57"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13717","display_name":"Advanced Algorithms and Applications","score":0.9634000062942505,"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/T13717","display_name":"Advanced Algorithms and Applications","score":0.9634000062942505,"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/T14270","display_name":"Simulation and Modeling Applications","score":0.9578999876976013,"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/T13734","display_name":"Advanced Computational Techniques and Applications","score":0.9520999789237976,"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/algebraic-equation","display_name":"Algebraic equation","score":0.7869832515716553},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7312874794006348},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.7231241464614868},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6849194765090942},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.6721429824829102},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.5877556800842285},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5605716705322266},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5562037229537964},{"id":"https://openalex.org/keywords/independent-equation","display_name":"Independent equation","score":0.5544297099113464},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.531154990196228},{"id":"https://openalex.org/keywords/theory-of-equations","display_name":"Theory of equations","score":0.505596399307251},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.501253604888916},{"id":"https://openalex.org/keywords/transformation-matrix","display_name":"Transformation matrix","score":0.4600486755371094},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.45350152254104614},{"id":"https://openalex.org/keywords/linear-map","display_name":"Linear map","score":0.44764941930770874},{"id":"https://openalex.org/keywords/simultaneous-equations","display_name":"Simultaneous equations","score":0.4335888922214508},{"id":"https://openalex.org/keywords/differential-algebraic-geometry","display_name":"Differential algebraic geometry","score":0.4282483458518982},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3802473247051239},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35456621646881104},{"id":"https://openalex.org/keywords/differential-algebraic-equation","display_name":"Differential algebraic equation","score":0.2449651062488556},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.23308610916137695},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21842294931411743},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.13156870007514954},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.12022155523300171},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1185949444770813},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07166752219200134}],"concepts":[{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.7869832515716553},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7312874794006348},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.7231241464614868},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6849194765090942},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.6721429824829102},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.5877556800842285},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5605716705322266},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5562037229537964},{"id":"https://openalex.org/C200602138","wikidata":"https://www.wikidata.org/wiki/Q16979193","display_name":"Independent equation","level":3,"score":0.5544297099113464},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.531154990196228},{"id":"https://openalex.org/C30388316","wikidata":"https://www.wikidata.org/wiki/Q2551226","display_name":"Theory of equations","level":5,"score":0.505596399307251},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.501253604888916},{"id":"https://openalex.org/C165443888","wikidata":"https://www.wikidata.org/wiki/Q1482183","display_name":"Transformation matrix","level":3,"score":0.4600486755371094},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.45350152254104614},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.44764941930770874},{"id":"https://openalex.org/C170036204","wikidata":"https://www.wikidata.org/wiki/Q735660","display_name":"Simultaneous equations","level":3,"score":0.4335888922214508},{"id":"https://openalex.org/C26959085","wikidata":"https://www.wikidata.org/wiki/Q5275330","display_name":"Differential algebraic geometry","level":5,"score":0.4282483458518982},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3802473247051239},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35456621646881104},{"id":"https://openalex.org/C186219872","wikidata":"https://www.wikidata.org/wiki/Q955889","display_name":"Differential algebraic equation","level":4,"score":0.2449651062488556},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.23308610916137695},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21842294931411743},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.13156870007514954},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.12022155523300171},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1185949444770813},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07166752219200134},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(98)10142-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(98)10142-x","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2798297576","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2488104383","https://openalex.org/W1982123151","https://openalex.org/W4378879367","https://openalex.org/W960957809","https://openalex.org/W69674019","https://openalex.org/W70989911","https://openalex.org/W2044452588","https://openalex.org/W2336285457","https://openalex.org/W3022052212","https://openalex.org/W4283764050"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}