{"id":"https://openalex.org/W4250466260","doi":"https://doi.org/10.1007/978-1-4471-5102-9_240-1","title":"Spectral Factorization","display_name":"Spectral Factorization","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W4250466260","doi":"https://doi.org/10.1007/978-1-4471-5102-9_240-1"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4471-5102-9_240-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-5102-9_240-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306509393","display_name":"Encyclopedia of Systems and Control","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Systems and Control","raw_type":"book-chapter"},"type":"reference-entry","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/A5006357134","display_name":"Professor Michael Sebek","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Professor Michael Sebek","raw_affiliation_strings":["Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague, 166 27, Prague 6, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague, 166 27, Prague 6, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006357134"],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8762999773025513,"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":0.8762999773025513,"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/T11416","display_name":"Numerical methods for differential equations","score":0.829200029373169,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.758899986743927,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/factorization","display_name":"Factorization","score":0.7248759865760803},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.7145687341690063},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.6251111626625061},{"id":"https://openalex.org/keywords/spectral-theorem","display_name":"Spectral theorem","score":0.5583662390708923},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4982624053955078},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4893921911716461},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.48718589544296265},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4576583802700043},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43974146246910095},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.4255464971065521},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35640159249305725},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3175169825553894},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23812571167945862},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16379323601722717},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1587291955947876},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1258133053779602},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05092361569404602}],"concepts":[{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7248759865760803},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.7145687341690063},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.6251111626625061},{"id":"https://openalex.org/C35958075","wikidata":"https://www.wikidata.org/wiki/Q1425077","display_name":"Spectral theorem","level":3,"score":0.5583662390708923},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4982624053955078},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4893921911716461},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.48718589544296265},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4576583802700043},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43974146246910095},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.4255464971065521},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35640159249305725},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3175169825553894},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23812571167945862},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16379323601722717},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1587291955947876},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1258133053779602},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05092361569404602},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4471-5102-9_240-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-5102-9_240-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306509393","display_name":"Encyclopedia of Systems and Control","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Systems and Control","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2483829974","https://openalex.org/W1858027487","https://openalex.org/W4251365163","https://openalex.org/W2036134725","https://openalex.org/W2963754972","https://openalex.org/W2024863501","https://openalex.org/W2804298926","https://openalex.org/W4300411879","https://openalex.org/W2787361084","https://openalex.org/W4231433367"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}