{"id":"https://openalex.org/W3133684043","doi":"https://doi.org/10.1007/s40314-021-01463-0","title":"Investigation of positive definite solution of nonlinear matrix equation $$X^{p}=Q +\\sum \\nolimits _{i=1}^m A_i^*X^{\\delta }A_i$$","display_name":"Investigation of positive definite solution of nonlinear matrix equation $$X^{p}=Q +\\sum \\nolimits _{i=1}^m A_i^*X^{\\delta }A_i$$","publication_year":2021,"publication_date":"2021-03-06","ids":{"openalex":"https://openalex.org/W3133684043","doi":"https://doi.org/10.1007/s40314-021-01463-0","mag":"3133684043"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-021-01463-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01463-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5060353348","display_name":"Zhi\u2010Xiang Jin","orcid":"https://orcid.org/0000-0001-9217-1349"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhixiang Jin","raw_affiliation_strings":["School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, Shanxi, People\u2019s Republic of China","School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, Shanxi, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, Shanxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I181877577"]},{"raw_affiliation_string":"School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, Shanxi, People's Republic of China","institution_ids":["https://openalex.org/I181877577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035497567","display_name":"Chengbo Zha\u0131","orcid":"https://orcid.org/0000-0002-3619-5722"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengbo Zhai","raw_affiliation_strings":["School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, Shanxi, People\u2019s Republic of China","School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, Shanxi, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, Shanxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I181877577"]},{"raw_affiliation_string":"School of Mathematical Sciences, Shanxi University, Taiyuan, 030006, Shanxi, People's Republic of China","institution_ids":["https://openalex.org/I181877577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060353348"],"corresponding_institution_ids":["https://openalex.org/I181877577"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10398739,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"40","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/invertible-matrix","display_name":"Invertible matrix","score":0.828825056552887},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.7339349985122681},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.634172797203064},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5952085852622986},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5146887898445129},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4962955117225647},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3450087308883667},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32499563694000244},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3061402440071106},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2571231722831726},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0800875723361969}],"concepts":[{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.828825056552887},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.7339349985122681},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.634172797203064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5952085852622986},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5146887898445129},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4962955117225647},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3450087308883667},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32499563694000244},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3061402440071106},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2571231722831726},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0800875723361969},{"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-021-01463-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-021-01463-0","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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":35,"referenced_works":["https://openalex.org/W43191782","https://openalex.org/W1488435683","https://openalex.org/W1503638420","https://openalex.org/W1551250000","https://openalex.org/W1605250361","https://openalex.org/W1973567506","https://openalex.org/W1987598005","https://openalex.org/W2009320932","https://openalex.org/W2018419772","https://openalex.org/W2032225431","https://openalex.org/W2039213523","https://openalex.org/W2048552347","https://openalex.org/W2063959296","https://openalex.org/W2067429836","https://openalex.org/W2073658102","https://openalex.org/W2078303593","https://openalex.org/W2081276050","https://openalex.org/W2085070232","https://openalex.org/W2092711795","https://openalex.org/W2145933873","https://openalex.org/W2154306128","https://openalex.org/W2272055270","https://openalex.org/W2276200180","https://openalex.org/W2610857016","https://openalex.org/W2612794067","https://openalex.org/W2613320816","https://openalex.org/W2618270343","https://openalex.org/W2729795451","https://openalex.org/W2748599680","https://openalex.org/W2749612735","https://openalex.org/W2766342763","https://openalex.org/W2798707604","https://openalex.org/W2809901140","https://openalex.org/W4255333822","https://openalex.org/W4300424233"],"related_works":["https://openalex.org/W2367027423","https://openalex.org/W4206234077","https://openalex.org/W2121030460","https://openalex.org/W2009320932","https://openalex.org/W2951116071","https://openalex.org/W2371640884","https://openalex.org/W2013504776","https://openalex.org/W2073904121","https://openalex.org/W1984769443","https://openalex.org/W2963690976"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}