{"id":"https://openalex.org/W2135213479","doi":"https://doi.org/10.1137/s0895479890197039","title":"On the Controllability of Matrix Pairs $( A, K )$ with K Positive Semidefinite, II","display_name":"On the Controllability of Matrix Pairs $( A, K )$ with K Positive Semidefinite, II","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W2135213479","doi":"https://doi.org/10.1137/s0895479890197039","mag":"2135213479"},"language":"en","primary_location":{"id":"doi:10.1137/s0895479890197039","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479890197039","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","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/A5044931619","display_name":"David Carlson","orcid":"https://orcid.org/0000-0002-3548-8646"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David Carlson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5044931619"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4347,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.65741594,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"1","first_page":"129","last_page":"133"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980999827384949,"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":0.9980999827384949,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9904999732971191,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9830999970436096,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8725767731666565},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.6829570531845093},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.6620935797691345},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6049937009811401},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5565062165260315},{"id":"https://openalex.org/keywords/majorization","display_name":"Majorization","score":0.527146577835083},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5071353912353516},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.49997901916503906},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3877430856227875},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37154272198677063},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3435419499874115},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13442778587341309},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.09821122884750366}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8725767731666565},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.6829570531845093},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.6620935797691345},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6049937009811401},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5565062165260315},{"id":"https://openalex.org/C2777818330","wikidata":"https://www.wikidata.org/wiki/Q1994695","display_name":"Majorization","level":2,"score":0.527146577835083},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5071353912353516},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49997901916503906},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3877430856227875},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37154272198677063},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3435419499874115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13442778587341309},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.09821122884750366},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0895479890197039","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479890197039","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","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":11,"referenced_works":["https://openalex.org/W1556970733","https://openalex.org/W1973642610","https://openalex.org/W1994114865","https://openalex.org/W2028692229","https://openalex.org/W2051238374","https://openalex.org/W2054346158","https://openalex.org/W2074549669","https://openalex.org/W2083440647","https://openalex.org/W2084466853","https://openalex.org/W3184207682","https://openalex.org/W4241795262"],"related_works":["https://openalex.org/W1998963481","https://openalex.org/W3004983976","https://openalex.org/W3027010974","https://openalex.org/W2965640718","https://openalex.org/W2050576042","https://openalex.org/W2595622705","https://openalex.org/W1990131059","https://openalex.org/W1568902373","https://openalex.org/W1550277019","https://openalex.org/W2964135324"],"abstract_inverted_index":{"The":[0],"subject":[1],"of":[2],"the":[3],"previous":[4],"article":[5],"by":[6],"David":[7],"Carlson,":[8],"B.":[9],"N.":[10],"Datta,":[11],"and":[12,19,30,35],"Hans":[13],"Schneider":[14],"[SIAM":[15],"Journal":[16],"on":[17],"Algebraic":[18],"Discrete":[20],"Methods,":[21],"5":[22],"(1984)":[23],"pp.":[24],"346\u2013350]":[25],"is":[26],"revisited":[27],"to":[28],"improve":[29],"clarify":[31],"results":[32],"given":[33],"there":[34],"elsewhere.":[36]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}