{"id":"https://openalex.org/W2057885514","doi":"https://doi.org/10.1007/s11045-010-0102-7","title":"On the computation of the inverse of a two-variable polynomial matrix by interpolation","display_name":"On the computation of the inverse of a two-variable polynomial matrix by interpolation","publication_year":2010,"publication_date":"2010-04-29","ids":{"openalex":"https://openalex.org/W2057885514","doi":"https://doi.org/10.1007/s11045-010-0102-7","mag":"2057885514"},"language":"en","primary_location":{"id":"doi:10.1007/s11045-010-0102-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-010-0102-7","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"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":"Multidimensional Systems and Signal Processing","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/A5066594965","display_name":"Nicholas P. Karampetakis","orcid":"https://orcid.org/0000-0002-4578-5521"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Nicholas P. Karampetakis","raw_affiliation_strings":["Department of Mathematics, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece","Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece 54124#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]},{"raw_affiliation_string":"Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece 54124#TAB#","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084580844","display_name":"Alexandros Evripidou","orcid":null},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Alexandros Evripidou","raw_affiliation_strings":["Department of Mathematics, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece","Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece 54124#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]},{"raw_affiliation_string":"Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece 54124#TAB#","institution_ids":["https://openalex.org/I21370196"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066594965"],"corresponding_institution_ids":["https://openalex.org/I21370196"],"apc_list":null,"apc_paid":null,"fwci":1.7218,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84364043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"23","issue":"1-2","first_page":"97","last_page":"118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9968000054359436,"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":0.9968000054359436,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9848999977111816,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9782000184059143,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/matrix-polynomial","display_name":"Matrix polynomial","score":0.6740456819534302},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6377682685852051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6286953091621399},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5946285128593445},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5741205811500549},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.5735942125320435},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5531260371208191},{"id":"https://openalex.org/keywords/polynomial-interpolation","display_name":"Polynomial interpolation","score":0.5507475137710571},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5486893057823181},{"id":"https://openalex.org/keywords/companion-matrix","display_name":"Companion matrix","score":0.507597804069519},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.49894165992736816},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47407594323158264},{"id":"https://openalex.org/keywords/characteristic-polynomial","display_name":"Characteristic polynomial","score":0.46263378858566284},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3332204818725586},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.3181995749473572},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2925933599472046},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23231524229049683},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10163593292236328},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.0826026201248169},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0756029486656189}],"concepts":[{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.6740456819534302},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6377682685852051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6286953091621399},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5946285128593445},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5741205811500549},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.5735942125320435},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5531260371208191},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.5507475137710571},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5486893057823181},{"id":"https://openalex.org/C141495983","wikidata":"https://www.wikidata.org/wiki/Q814361","display_name":"Companion matrix","level":5,"score":0.507597804069519},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.49894165992736816},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47407594323158264},{"id":"https://openalex.org/C42321380","wikidata":"https://www.wikidata.org/wiki/Q849705","display_name":"Characteristic polynomial","level":3,"score":0.46263378858566284},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3332204818725586},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.3181995749473572},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2925933599472046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23231524229049683},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10163593292236328},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0826026201248169},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0756029486656189},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11045-010-0102-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11045-010-0102-7","pdf_url":null,"source":{"id":"https://openalex.org/S198285748","display_name":"Multidimensional Systems and Signal Processing","issn_l":"0923-6082","issn":["0923-6082","1573-0824"],"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":"Multidimensional Systems and Signal Processing","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":40,"referenced_works":["https://openalex.org/W4193965","https://openalex.org/W116293564","https://openalex.org/W430666788","https://openalex.org/W600911070","https://openalex.org/W1482504246","https://openalex.org/W1503151102","https://openalex.org/W1533155545","https://openalex.org/W1964425587","https://openalex.org/W1969387442","https://openalex.org/W1972675800","https://openalex.org/W1981565041","https://openalex.org/W1983760295","https://openalex.org/W1993041886","https://openalex.org/W2010271941","https://openalex.org/W2017992841","https://openalex.org/W2020551585","https://openalex.org/W2029582328","https://openalex.org/W2031709284","https://openalex.org/W2035965809","https://openalex.org/W2036734970","https://openalex.org/W2042522535","https://openalex.org/W2062682521","https://openalex.org/W2077697231","https://openalex.org/W2084913464","https://openalex.org/W2090567866","https://openalex.org/W2094567672","https://openalex.org/W2096070062","https://openalex.org/W2096473756","https://openalex.org/W2101527220","https://openalex.org/W2109685276","https://openalex.org/W2115145720","https://openalex.org/W2115920167","https://openalex.org/W2133051899","https://openalex.org/W2135359007","https://openalex.org/W2264065105","https://openalex.org/W2485918228","https://openalex.org/W2615372956","https://openalex.org/W4213231302","https://openalex.org/W4285719527","https://openalex.org/W6628614307"],"related_works":["https://openalex.org/W2905919007","https://openalex.org/W2575230999","https://openalex.org/W2335071938","https://openalex.org/W2078782009","https://openalex.org/W1985103827","https://openalex.org/W2040308058","https://openalex.org/W1489986405","https://openalex.org/W2023818677","https://openalex.org/W2240282887","https://openalex.org/W2062371205"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
