{"id":"https://openalex.org/W1994218655","doi":"https://doi.org/10.1016/s0024-3795(01)00536-5","title":"Parameter depending state space descriptions of index-2-matrix polynomials","display_name":"Parameter depending state space descriptions of index-2-matrix polynomials","publication_year":2002,"publication_date":"2002-05-01","ids":{"openalex":"https://openalex.org/W1994218655","doi":"https://doi.org/10.1016/s0024-3795(01)00536-5","mag":"1994218655"},"language":"en","primary_location":{"id":"doi:10.1016/s0024-3795(01)00536-5","doi":"https://doi.org/10.1016/s0024-3795(01)00536-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0024-3795(01)00536-5","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0024379501005365/pdf","source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"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":"Linear Algebra and its Applications","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/S0024379501005365/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081595544","display_name":"Martin Bracke","orcid":"https://orcid.org/0000-0002-1869-3189","observed_orcids":["https://orcid.org/0000-0002-1869-3189"]},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046","https://openalex.org/I4387152675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Bracke","raw_affiliation_strings":["DepartmentofMathematics,UniversityofKaiserslautern,Paul-Ehrlich-Strasse,Geb.48,67653 Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DepartmentofMathematics,UniversityofKaiserslautern,Paul-Ehrlich-Strasse,Geb.48,67653 Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Sven Feldmann","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046","https://openalex.org/I4387152675"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sven Feldmann","raw_affiliation_strings":["DepartmentofMathematics,UniversityofKaiserslautern,Paul-Ehrlich-Strasse,Geb.48,67653 Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DepartmentofMathematics,UniversityofKaiserslautern,Paul-Ehrlich-Strasse,Geb.48,67653 Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058305538","display_name":"D. Pr\u00e4tzel-Wolters","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046","https://openalex.org/I4387152675"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dieter Pr\u00e4tzel-Wolters","raw_affiliation_strings":["DepartmentofMathematics,UniversityofKaiserslautern,Paul-Ehrlich-Strasse,Geb.48,67653 Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DepartmentofMathematics,UniversityofKaiserslautern,Paul-Ehrlich-Strasse,Geb.48,67653 Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I153267046"],"apc_list":{"value":3230,"currency":"USD","value_usd":3230},"apc_paid":null,"fwci":0.3836,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.61754054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"347","issue":"1-3","first_page":"59","last_page":"80"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8467000126838684,"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":0.8467000126838684,"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/T11081","display_name":"Advanced Control Systems Design","score":0.06679999828338623,"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/T11416","display_name":"Numerical methods for differential equations","score":0.011800000444054604,"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/eigenvalue-computation","display_name":"eigenvalue computation","score":0.34599998593330383},{"id":"https://openalex.org/keywords/matrix-perturbation-theory","display_name":"matrix perturbation theory","score":0.6639999747276306},{"id":"https://openalex.org/keywords/electrical-networks","display_name":"electrical networks","score":0.671999990940094},{"id":"https://openalex.org/keywords/descriptor-systems","display_name":"descriptor systems","score":0.5479999780654907},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.8809999823570251}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8496785163879395},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6460601091384888},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.540829598903656},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.5276602506637573},{"id":"https://openalex.org/C42321380","wikidata":"https://www.wikidata.org/wiki/Q849705","display_name":"Characteristic polynomial","level":3,"score":0.5063968896865845},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.49333062767982483},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.48379796743392944},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.4560664892196655},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.43908560276031494},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.4138847291469574},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4120143949985504},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4021628201007843},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3363470435142517},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3327833116054535},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.325873464345932},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08598455786705017},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08250907063484192},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s0024-3795(01)00536-5","doi":"https://doi.org/10.1016/s0024-3795(01)00536-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0024-3795(01)00536-5","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0024379501005365/pdf","source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"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":"Linear Algebra and its Applications","raw_type":"journal-article"},{"id":"pmh:oai:fraunhofer.de:N-33089","doi":null,"is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-33089.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer ITWM","raw_type":"Journal Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/201063","doi":null,"is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/201063","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":{"id":"doi:10.1016/s0024-3795(01)00536-5","doi":"https://doi.org/10.1016/s0024-3795(01)00536-5","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0024-3795(01)00536-5","pdf_url":"https://www.sciencedirect.com/science/article/pii/S0024379501005365/pdf","source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"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":"Linear Algebra and its Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1994218655.pdf","grobid_xml":"https://content.openalex.org/works/W1994218655.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W83404773","https://openalex.org/W658559791","https://openalex.org/W1487374707","https://openalex.org/W1488435683","https://openalex.org/W1500921805","https://openalex.org/W1544013721","https://openalex.org/W2006399545","https://openalex.org/W2016886106","https://openalex.org/W2097178696","https://openalex.org/W2798813531","https://openalex.org/W2798909945","https://openalex.org/W2901873211","https://openalex.org/W4295016751"],"related_works":["https://openalex.org/W2000031927","https://openalex.org/W2018571526","https://openalex.org/W36999706","https://openalex.org/W1992712925","https://openalex.org/W2012122914","https://openalex.org/W2257297152","https://openalex.org/W7111579817","https://openalex.org/W2143520367","https://openalex.org/W2068008247","https://openalex.org/W2126725698"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2016-06-24T00:00:00"}
