{"id":"https://openalex.org/W4225014173","doi":"https://doi.org/10.1137/21m1400705","title":"Condition Number Minimization in Euclidean Jordan Algebras","display_name":"Condition Number Minimization in Euclidean Jordan Algebras","publication_year":2022,"publication_date":"2022-04-28","ids":{"openalex":"https://openalex.org/W4225014173","doi":"https://doi.org/10.1137/21m1400705"},"language":"en","primary_location":{"id":"doi:10.1137/21m1400705","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1400705","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","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/A5082203816","display_name":"Alberto Seeger","orcid":"https://orcid.org/0000-0003-3114-7817"},"institutions":[{"id":"https://openalex.org/I4210155549","display_name":"Laboratoire de Math\u00e9matiques","ror":"https://ror.org/05sd5r855","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I4210141950","https://openalex.org/I4210155549"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Alberto Seeger","raw_affiliation_strings":["EA2151 Laboratoire de Math\u00e9matiques d'Avignon"],"affiliations":[{"raw_affiliation_string":"EA2151 Laboratoire de Math\u00e9matiques d'Avignon","institution_ids":["https://openalex.org/I4210155549"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082203816"],"corresponding_institution_ids":["https://openalex.org/I4210155549"],"apc_list":null,"apc_paid":null,"fwci":0.8763,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.7566966,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"32","issue":"2","first_page":"635","last_page":"658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9976000189781189,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.7368906736373901},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7300897836685181},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.70914226770401},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6719134449958801},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5116413235664368},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45838114619255066},{"id":"https://openalex.org/keywords/euclidean-domain","display_name":"Euclidean domain","score":0.4552624523639679},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.4209184944629669},{"id":"https://openalex.org/keywords/euclidean-distance-matrix","display_name":"Euclidean distance matrix","score":0.2523036599159241},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1753421425819397},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04763549566268921}],"concepts":[{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.7368906736373901},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7300897836685181},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.70914226770401},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6719134449958801},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5116413235664368},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45838114619255066},{"id":"https://openalex.org/C23719512","wikidata":"https://www.wikidata.org/wiki/Q867345","display_name":"Euclidean domain","level":4,"score":0.4552624523639679},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.4209184944629669},{"id":"https://openalex.org/C171558263","wikidata":"https://www.wikidata.org/wiki/Q5406122","display_name":"Euclidean distance matrix","level":3,"score":0.2523036599159241},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1753421425819397},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04763549566268921},{"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":2,"locations":[{"id":"doi:10.1137/21m1400705","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1400705","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03776268v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03776268","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Optimization, 2022, 32 (2), pp.635-658. &#x27E8;10.1137/21M1400705&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1964470668","https://openalex.org/W1982604350","https://openalex.org/W1985077192","https://openalex.org/W1987641156","https://openalex.org/W1988560443","https://openalex.org/W2007179152","https://openalex.org/W2026174223","https://openalex.org/W2042592476","https://openalex.org/W2058261342","https://openalex.org/W2062058089","https://openalex.org/W2073254680","https://openalex.org/W2087343786","https://openalex.org/W2094952253","https://openalex.org/W2529182457","https://openalex.org/W2566449533","https://openalex.org/W2914023361","https://openalex.org/W2963582713"],"related_works":["https://openalex.org/W2051374838","https://openalex.org/W4298160248","https://openalex.org/W560234846","https://openalex.org/W2008939113","https://openalex.org/W2318206461","https://openalex.org/W4298154183","https://openalex.org/W3037672488","https://openalex.org/W2105228010","https://openalex.org/W14679004","https://openalex.org/W37157938"],"abstract_inverted_index":{"Let":[0],"$b$":[1,46],"be":[2,19,96],"a":[3,7,27,49,73,79],"nonnegative":[4,28],"vector":[5,29,75],"in":[6,47,106],"Euclidean":[8,102],"Jordan":[9,103],"algebra":[10],"$\\mathbb{E}$.":[11,83],"Its":[12],"condition":[13,24,55],"number":[14,25,56],"$\\kappa(b)$":[15],"is":[16,30,65],"assumed":[17],"to":[18,44,52,72],"high,":[20],"possibly":[21],"infinite.":[22],"The":[23,61],"of":[26,67,82,86,101,111],"defined":[31],"as":[32,51,57,59],"the":[33,36,39,99,109],"ratio":[34],"between":[35],"largest":[37],"and":[38,89],"smallest":[40],"eigenvalue.":[41],"We":[42],"wish":[43],"perturb":[45],"such":[48,91],"way":[50],"diminish":[53],"its":[54],"much":[58],"possible.":[60],"problem":[62,94],"at":[63],"hand":[64],"that":[66],"minimizing":[68],"$\\kappa(b+x)$":[69],"with":[70,98,108],"respect":[71],"perturbation":[74],"$x$":[76],"taken":[77],"from":[78],"given":[80],"subset":[81],"In":[84],"spite":[85],"being":[87],"nonsmooth":[88],"nonconvex,":[90],"an":[92],"optimization":[93],"can":[95],"handled":[97],"machinery":[100],"algebras":[104],"and,":[105],"particular,":[107],"theory":[110],"spectral":[112],"functions.":[113]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
