{"id":"https://openalex.org/W185408925","doi":"https://doi.org/10.1007/bf02307710","title":"A definiteness test for Hankel matrices and their lower submatrices","display_name":"A definiteness test for Hankel matrices and their lower submatrices","publication_year":1987,"publication_date":"1987-03-01","ids":{"openalex":"https://openalex.org/W185408925","doi":"https://doi.org/10.1007/bf02307710","mag":"185408925"},"language":"en","primary_location":{"id":"doi:10.1007/bf02307710","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02307710","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5073207382","display_name":"I. Koltracht","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"I. Koltracht","raw_affiliation_strings":["Department of Mathematics and Statistics, The University of Calgary, 2500 University Drive, N. W., T2N 1N4, Calgary, Alberta, Canada","University of Calgary; Calgary  Alberta Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, The University of Calgary, 2500 University Drive, N. W., T2N 1N4, Calgary, Alberta, Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"University of Calgary; Calgary  Alberta Canada","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012007500","display_name":"Peter Lancaster","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"P. Lancaster","raw_affiliation_strings":["Department of Mathematics and Statistics, The University of Calgary, 2500 University Drive, N. W., T2N 1N4, Calgary, Alberta, Canada","University of Calgary; Calgary  Alberta Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, The University of Calgary, 2500 University Drive, N. W., T2N 1N4, Calgary, Alberta, Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"University of Calgary; Calgary  Alberta Canada","institution_ids":["https://openalex.org/I168635309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073207382"],"corresponding_institution_ids":["https://openalex.org/I168635309"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5325,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.56615334,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"39","issue":"1","first_page":"19","last_page":"26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9940999746322632,"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":0.9940999746322632,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9120000004768372,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/definiteness","display_name":"Definiteness","score":0.9455399513244629},{"id":"https://openalex.org/keywords/positive-definiteness","display_name":"Positive definiteness","score":0.8705852031707764},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6950670480728149},{"id":"https://openalex.org/keywords/hankel-matrix","display_name":"Hankel matrix","score":0.6070135831832886},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47559627890586853},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.4755668044090271},{"id":"https://openalex.org/keywords/test","display_name":"Test (biology)","score":0.4682513177394867},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.3748253583908081},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32600441575050354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20221492648124695},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14504224061965942},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.09394344687461853},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.05171796679496765},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0495913028717041},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0476725697517395}],"concepts":[{"id":"https://openalex.org/C2779056149","wikidata":"https://www.wikidata.org/wiki/Q1182686","display_name":"Definiteness","level":2,"score":0.9455399513244629},{"id":"https://openalex.org/C2778265155","wikidata":"https://www.wikidata.org/wiki/Q7233276","display_name":"Positive definiteness","level":4,"score":0.8705852031707764},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6950670480728149},{"id":"https://openalex.org/C25023664","wikidata":"https://www.wikidata.org/wiki/Q1575637","display_name":"Hankel matrix","level":2,"score":0.6070135831832886},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47559627890586853},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.4755668044090271},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.4682513177394867},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.3748253583908081},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32600441575050354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20221492648124695},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14504224061965942},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.09394344687461853},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.05171796679496765},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0495913028717041},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0476725697517395},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02307710","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02307710","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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":5,"referenced_works":["https://openalex.org/W1549220217","https://openalex.org/W1551112541","https://openalex.org/W1964919148","https://openalex.org/W1978166789","https://openalex.org/W2050904131"],"related_works":["https://openalex.org/W2774735586","https://openalex.org/W2383147277","https://openalex.org/W2369793817","https://openalex.org/W2380066421","https://openalex.org/W2364489971","https://openalex.org/W2361979571","https://openalex.org/W4205226845","https://openalex.org/W4210436583","https://openalex.org/W1595588025","https://openalex.org/W13708394"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
