{"id":"https://openalex.org/W2047814828","doi":"https://doi.org/10.1007/s11424-010-0212-1","title":"The reconstruction of an hermitian toeplitz matrix with prescribed eigenpairs","display_name":"The reconstruction of an hermitian toeplitz matrix with prescribed eigenpairs","publication_year":2010,"publication_date":"2010-10-01","ids":{"openalex":"https://openalex.org/W2047814828","doi":"https://doi.org/10.1007/s11424-010-0212-1","mag":"2047814828"},"language":"en","primary_location":{"id":"doi:10.1007/s11424-010-0212-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-010-0212-1","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"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":"Journal of Systems Science and Complexity","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/A5101707042","display_name":"Zhongyun Liu","orcid":"https://orcid.org/0000-0003-4870-6996"},"institutions":[{"id":"https://openalex.org/I56934997","display_name":"Changsha University of Science and Technology","ror":"https://ror.org/03yph8055","country_code":"CN","type":"education","lineage":["https://openalex.org/I56934997"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhongyun Liu","raw_affiliation_strings":["School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410076, China","Changsha University of Science and Technology,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410076, China","institution_ids":["https://openalex.org/I56934997"]},{"raw_affiliation_string":"Changsha University of Science and Technology,","institution_ids":["https://openalex.org/I56934997"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100432080","display_name":"Lu Chen","orcid":"https://orcid.org/0000-0002-3385-9335"},"institutions":[{"id":"https://openalex.org/I56934997","display_name":"Changsha University of Science and Technology","ror":"https://ror.org/03yph8055","country_code":"CN","type":"education","lineage":["https://openalex.org/I56934997"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu Chen","raw_affiliation_strings":["School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410076, China","Changsha University of Science and Technology,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410076, China","institution_ids":["https://openalex.org/I56934997"]},{"raw_affiliation_string":"Changsha University of Science and Technology,","institution_ids":["https://openalex.org/I56934997"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029749178","display_name":"Yulin Zhang","orcid":"https://orcid.org/0000-0003-1833-7456"},"institutions":[{"id":"https://openalex.org/I99682543","display_name":"University of Minho","ror":"https://ror.org/037wpkx04","country_code":"PT","type":"education","lineage":["https://openalex.org/I99682543"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Yulin Zhang","raw_affiliation_strings":["Department of Mathematics, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal","University of MInho"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Minho, Campus de Gualtar, 4710-057, Braga, Portugal","institution_ids":["https://openalex.org/I99682543"]},{"raw_affiliation_string":"University of MInho","institution_ids":["https://openalex.org/I99682543"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101707042"],"corresponding_institution_ids":["https://openalex.org/I56934997"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.111247,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"23","issue":"5","first_page":"961","last_page":"970"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9908999800682068,"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":0.9908999800682068,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9732999801635742,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9498000144958496,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.9653434753417969},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.9254781007766724},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6258314251899719},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6009284257888794},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5933262705802917},{"id":"https://openalex.org/keywords/matrix-similarity","display_name":"Matrix similarity","score":0.5750322937965393},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.49789881706237793},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4934808015823364},{"id":"https://openalex.org/keywords/eigendecomposition-of-a-matrix","display_name":"Eigendecomposition of a matrix","score":0.48165929317474365},{"id":"https://openalex.org/keywords/levinson-recursion","display_name":"Levinson recursion","score":0.4799240231513977},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4584886431694031},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4512542486190796},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4449900984764099},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.4184585511684418},{"id":"https://openalex.org/keywords/matrix-function","display_name":"Matrix function","score":0.4109261929988861},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23741239309310913},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08578234910964966}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.9653434753417969},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.9254781007766724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6258314251899719},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6009284257888794},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5933262705802917},{"id":"https://openalex.org/C39739852","wikidata":"https://www.wikidata.org/wiki/Q254491","display_name":"Matrix similarity","level":3,"score":0.5750322937965393},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49789881706237793},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4934808015823364},{"id":"https://openalex.org/C169756996","wikidata":"https://www.wikidata.org/wiki/Q194919","display_name":"Eigendecomposition of a matrix","level":3,"score":0.48165929317474365},{"id":"https://openalex.org/C122212055","wikidata":"https://www.wikidata.org/wiki/Q11679774","display_name":"Levinson recursion","level":3,"score":0.4799240231513977},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4584886431694031},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4512542486190796},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4449900984764099},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.4184585511684418},{"id":"https://openalex.org/C4263655","wikidata":"https://www.wikidata.org/wiki/Q2699958","display_name":"Matrix function","level":4,"score":0.4109261929988861},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23741239309310913},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08578234910964966},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","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:10.1007/s11424-010-0212-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11424-010-0212-1","pdf_url":null,"source":{"id":"https://openalex.org/S45848134","display_name":"Journal of Systems Science and Complexity","issn_l":"1009-6124","issn":["1009-6124","1559-7067"],"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":"Journal of Systems Science and Complexity","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":24,"referenced_works":["https://openalex.org/W137080027","https://openalex.org/W1504510381","https://openalex.org/W1964260508","https://openalex.org/W1991136704","https://openalex.org/W1993583013","https://openalex.org/W2001135093","https://openalex.org/W2006386896","https://openalex.org/W2010637721","https://openalex.org/W2018227046","https://openalex.org/W2019465407","https://openalex.org/W2038144316","https://openalex.org/W2043561826","https://openalex.org/W2058478885","https://openalex.org/W2080003912","https://openalex.org/W2080697474","https://openalex.org/W2086683289","https://openalex.org/W2115113403","https://openalex.org/W2126824908","https://openalex.org/W2130043776","https://openalex.org/W2282880264","https://openalex.org/W2333882995","https://openalex.org/W2413478013","https://openalex.org/W4230225009","https://openalex.org/W4231424827"],"related_works":["https://openalex.org/W2102193855","https://openalex.org/W1979961086","https://openalex.org/W2052359852","https://openalex.org/W4309343200","https://openalex.org/W4285524636","https://openalex.org/W1969865027","https://openalex.org/W1982723514","https://openalex.org/W2385939038","https://openalex.org/W2361362843","https://openalex.org/W3199192463"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
