{"id":"https://openalex.org/W2026410746","doi":"https://doi.org/10.1137/060650726","title":"Hermite Indices and Jordan Structure of a Perturbed Linear System","display_name":"Hermite Indices and Jordan Structure of a Perturbed Linear System","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2026410746","doi":"https://doi.org/10.1137/060650726","mag":"2026410746"},"language":"en","primary_location":{"id":"doi:10.1137/060650726","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060650726","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/A5019838712","display_name":"Itziar Baraga\u00f1a","orcid":"https://orcid.org/0000-0001-9573-9155"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"I. Baraga\u00f1a","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108982992","display_name":"V. Fern\u00e1ndez","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V. Fern\u00e1ndez","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5059067253","display_name":"I. Zaballa","orcid":"https://orcid.org/0000-0002-6113-9079"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I. Zaballa","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019838712"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4455,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60059791,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"2","first_page":"455","last_page":"472"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9810000061988831,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9810000061988831,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9315999746322632,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9002000093460083,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/mathematics","display_name":"Mathematics","score":0.8435584902763367},{"id":"https://openalex.org/keywords/hermite-polynomials","display_name":"Hermite polynomials","score":0.622117280960083},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4814114570617676},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4315004348754883},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36578139662742615},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34424665570259094},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3026241064071655}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8435584902763367},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.622117280960083},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4814114570617676},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4315004348754883},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36578139662742615},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34424665570259094},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3026241064071655}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/060650726","is_oa":false,"landing_page_url":"https://doi.org/10.1137/060650726","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1551112541","https://openalex.org/W1965530594","https://openalex.org/W1985031765","https://openalex.org/W2000482680","https://openalex.org/W2003995054","https://openalex.org/W2006309149","https://openalex.org/W2012340923","https://openalex.org/W2025511418","https://openalex.org/W2037125866","https://openalex.org/W2042414500","https://openalex.org/W2085849252","https://openalex.org/W2086967783","https://openalex.org/W2088876089","https://openalex.org/W2093850807","https://openalex.org/W2094558101"],"related_works":["https://openalex.org/W4383100562","https://openalex.org/W175020571","https://openalex.org/W1965919058","https://openalex.org/W1628946225","https://openalex.org/W2323905825","https://openalex.org/W4294204420","https://openalex.org/W2952295687","https://openalex.org/W3083488279","https://openalex.org/W2332553750","https://openalex.org/W2027907553"],"abstract_inverted_index":{"The":[0,25],"aim":[1],"of":[2,15,18,27],"this":[3],"work":[4],"is":[5],"to":[6,35,44],"characterize":[7],"the":[8,12,28],"Hermite":[9],"indices":[10],"and":[11,47],"Jordan":[13],"structure":[14],"a":[16,32,37],"pair":[17,38],"matrices":[19],"$(A,":[20,45],"B)$":[21,46],"under":[22],"small":[23],"perturbations.":[24],"proofs":[26],"sufficiency":[29],"give":[30],"us":[31],"constructive":[33],"method":[34],"obtain":[36],"as":[39,41],"close":[40],"we":[42],"want":[43],"with":[48],"prescribed":[49],"structure.":[50]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
