{"id":"https://openalex.org/W2371640884","doi":null,"title":"The Hermitian positive definite solutions of matrix equation X+A~*X~(-q)A=Q when q>1","display_name":"The Hermitian positive definite solutions of matrix equation X+A~*X~(-q)A=Q when q>1","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2371640884","mag":"2371640884"},"language":"en","primary_location":{"id":"mag:2371640884","doi":null,"is_oa":false,"landing_page_url":"https://en.cnki.com.cn/Article_en/CJFDTOTAL-GLKX200603010.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764745632","display_name":"Journal of Science of Teachers' College and University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4361727516","host_organization_name":"Qiqihar University","host_organization_lineage":["https://openalex.org/P4361727516"],"host_organization_lineage_names":["Qiqihar University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Science of Teachers' College and University","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5008548243","display_name":"Tongbo Liu","orcid":"https://orcid.org/0000-0002-2199-2171","observed_orcids":["https://orcid.org/0000-0002-2199-2171"]},"institutions":[{"id":"https://openalex.org/I119203015","display_name":"Shandong University of Technology","ror":"https://ror.org/02mr3ar13","country_code":"CN","type":"education","lineage":["https://openalex.org/I119203015"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tongbo Liu","raw_affiliation_strings":["School of Mathematics,Shandong University of Technology,Zibo 255000,China)"],"raw_orcid":"https://orcid.org/0000-0002-2199-2171","affiliations":[{"raw_affiliation_string":"School of Mathematics,Shandong University of Technology,Zibo 255000,China)","institution_ids":["https://openalex.org/I119203015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008548243"],"corresponding_institution_ids":["https://openalex.org/I119203015"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.29975062,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980000257492065,"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":0.9980000257492065,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hermitian-positive-definite-solutions","display_name":"Hermitian positive definite solutions","score":0.9900000095367432},{"id":"https://openalex.org/keywords/matrix-equations","display_name":"matrix equations","score":0.6079999804496765},{"id":"https://openalex.org/keywords/q-1","display_name":"Q-1","score":0.7490000128746033},{"id":"https://openalex.org/keywords/iterative-methods","display_name":"iterative methods","score":0.9520000219345093},{"id":"https://openalex.org/keywords/nonlinear-matrix-equations","display_name":"nonlinear matrix equations","score":0.6769999861717224}],"concepts":[{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.9353036880493164},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.8962700366973877},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6376684904098511},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5731416344642639},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4265303611755371},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3440017104148865},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33141130208969116},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23677068948745728},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.10655245184898376},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0732383131980896},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07205760478973389},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2371640884","doi":null,"is_oa":false,"landing_page_url":"https://en.cnki.com.cn/Article_en/CJFDTOTAL-GLKX200603010.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764745632","display_name":"Journal of Science of Teachers' College and University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4361727516","host_organization_name":"Qiqihar University","host_organization_lineage":["https://openalex.org/P4361727516"],"host_organization_lineage_names":["Qiqihar University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Science of Teachers' College and University","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2378686387","https://openalex.org/W2354705741","https://openalex.org/W2358154156","https://openalex.org/W1964155912","https://openalex.org/W158136187","https://openalex.org/W2031375404","https://openalex.org/W2316340480","https://openalex.org/W2265467804","https://openalex.org/W2391989929","https://openalex.org/W2379544264"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,9,27],"Hermitian":[4],"positive":[5,23],"definite":[6,24],"solutions":[7,25],"of":[8,26],"matrix":[10],"equationX+A*X":[11],"?qA":[12],"=":[13],"Q":[14],"with":[15],"q":[16],"1.Constructed":[17],"two":[18],"iterative":[19],"methods":[20],"for":[21],"obtaining":[22],"equation.The":[28],"results":[29],"are":[30],"illustrated":[31],"by":[32],"numerical":[33],"examples.":[34]},"counts_by_year":[],"updated_date":"2025-10-10T17:16:08.811792","created_date":"2016-06-24T00:00:00"}
