{"id":"https://openalex.org/W2055716315","doi":"https://doi.org/10.1137/s0895479894268683","title":"Computation of Numerical Pad\u00e9\u2013Hermite and Simultaneous Pad\u00e9 Systems I: Near Inversion of Generalized Sylvester Matrices","display_name":"Computation of Numerical Pad\u00e9\u2013Hermite and Simultaneous Pad\u00e9 Systems I: Near Inversion of Generalized Sylvester Matrices","publication_year":1996,"publication_date":"1996-04-01","ids":{"openalex":"https://openalex.org/W2055716315","doi":"https://doi.org/10.1137/s0895479894268683","mag":"2055716315"},"language":"en","primary_location":{"id":"doi:10.1137/s0895479894268683","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479894268683","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/A5113574805","display_name":"Stan Cabay","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stan Cabay","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110333223","display_name":"Anthony R. Jones","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anthony R. Jones","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5001656489","display_name":"George Labahn","orcid":"https://orcid.org/0009-0005-8977-4890"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"George Labahn","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.9646,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.94128391,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":"2","first_page":"248","last_page":"267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9828000068664551,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7942382097244263},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.7939423322677612},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6872509121894836},{"id":"https://openalex.org/keywords/sylvester-matrix","display_name":"Sylvester matrix","score":0.6619755625724792},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.54904705286026},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5461410880088806},{"id":"https://openalex.org/keywords/sylvester-equation","display_name":"Sylvester equation","score":0.44244569540023804},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.43209967017173767},{"id":"https://openalex.org/keywords/sylvesters-law-of-inertia","display_name":"Sylvester's law of inertia","score":0.4306977391242981},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36226433515548706},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34253180027008057},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26234471797943115},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.1962328851222992},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12231215834617615},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.05745798349380493},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.05681866407394409}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7942382097244263},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.7939423322677612},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6872509121894836},{"id":"https://openalex.org/C20160815","wikidata":"https://www.wikidata.org/wiki/Q1482452","display_name":"Sylvester matrix","level":5,"score":0.6619755625724792},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.54904705286026},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5461410880088806},{"id":"https://openalex.org/C100468782","wikidata":"https://www.wikidata.org/wiki/Q3730848","display_name":"Sylvester equation","level":3,"score":0.44244569540023804},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.43209967017173767},{"id":"https://openalex.org/C56828936","wikidata":"https://www.wikidata.org/wiki/Q1752621","display_name":"Sylvester's law of inertia","level":4,"score":0.4306977391242981},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36226433515548706},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34253180027008057},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26234471797943115},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.1962328851222992},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12231215834617615},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.05745798349380493},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.05681866407394409},{"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},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0895479894268683","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479894268683","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.52.4767","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.52.4767","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.cs.ualberta.ca/pub/cabay/sylvester_inverses.ps.Z","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1504797307","https://openalex.org/W1965184311","https://openalex.org/W1984557044","https://openalex.org/W1991987052","https://openalex.org/W1996152366","https://openalex.org/W2008408131","https://openalex.org/W2016714604","https://openalex.org/W2018818965","https://openalex.org/W2023185063","https://openalex.org/W2056622404","https://openalex.org/W2063054436","https://openalex.org/W2065594648","https://openalex.org/W2089240964","https://openalex.org/W2135622428","https://openalex.org/W2150277007"],"related_works":["https://openalex.org/W1597114477","https://openalex.org/W2087190655","https://openalex.org/W4313827875","https://openalex.org/W1779180083","https://openalex.org/W2026013983","https://openalex.org/W2109445637","https://openalex.org/W2055716315","https://openalex.org/W1939614878","https://openalex.org/W2980490002","https://openalex.org/W2984191341"],"abstract_inverted_index":{"We":[0],"present":[1],"new":[2],"formulae":[3,16,59],"for":[4,45,63,79,88,100],"the":[5,46,51,54,64,80,89,101],"\u201cnear\u201d":[6],"inverses":[7,28],"of":[8,33,53,67,82,91,104],"striped":[9,105],"Sylvester":[10,13,55,108],"and":[11,37,70,93,106],"mosaic":[12,107],"matrices.":[14,56,109],"The":[15,26,57],"assume":[17],"computation":[18,90],"over":[19],"floating-point":[20],"rather":[21],"than":[22],"exact":[23],"arithmetic":[24],"domains.":[25],"near":[27],"are":[29,43],"expressed":[30],"in":[31,75],"terms":[32],"numerical":[34,102],"Pad\u00e9\u2013Hermite":[35,92],"systems":[36,42,96],"simultaneous":[38,94],"Pad\u00e9":[39,95],"systems.":[40],"These":[41],"approximants":[44],"power":[47],"series":[48],"determined":[49],"from":[50],"coefficients":[52],"inverse":[58],"provide":[60],"good":[61],"estimates":[62],"condition":[65],"numbers":[66],"these":[68],"matrices":[69],"serve":[71],"as":[72],"primary":[73],"tools":[74],"a":[76,83],"companion":[77],"paper":[78],"development":[81],"fast,":[84],"weakly":[85],"stable":[86],"algorithm":[87],"and,":[97],"thereby,":[98],"also":[99],"inversion":[103]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}