{"id":"https://openalex.org/W1969759530","doi":"https://doi.org/10.1137/1036113","title":"An Integral Relation for Successive Eigenvalues (Richard B. Evans)","display_name":"An Integral Relation for Successive Eigenvalues (Richard B. Evans)","publication_year":1994,"publication_date":"1994-09-01","ids":{"openalex":"https://openalex.org/W1969759530","doi":"https://doi.org/10.1137/1036113","mag":"1969759530"},"language":"en","primary_location":{"id":"doi:10.1137/1036113","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1036113","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","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/A5050247362","display_name":"Michael Renardy","orcid":"https://orcid.org/0000-0002-5846-6773"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michael Renardy","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050247362"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08923375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"3","first_page":"497","last_page":"497"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9488000273704529,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9488000273704529,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9419999718666077,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9136000275611877,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.7621975541114807},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7108120322227478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4835748076438904},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4538986086845398},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37857890129089355},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3293496370315552},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22236323356628418},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09395074844360352},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08257165551185608}],"concepts":[{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.7621975541114807},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7108120322227478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4835748076438904},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4538986086845398},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37857890129089355},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3293496370315552},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22236323356628418},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09395074844360352},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08257165551185608},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1036113","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1036113","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","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":0,"referenced_works":[],"related_works":["https://openalex.org/W4234874385","https://openalex.org/W2323648130","https://openalex.org/W2157140558","https://openalex.org/W2378782423","https://openalex.org/W4233308809","https://openalex.org/W2388988621","https://openalex.org/W2357797405","https://openalex.org/W2366623913","https://openalex.org/W2374905595","https://openalex.org/W4256020104"],"abstract_inverted_index":{"Previous":[0,34],"article":[1,3,35,37],"Next":[2,36],"An":[4],"Integral":[5,21],"Relation":[6,22],"for":[7,23,55,71],"Successive":[8,24],"Eigenvalues":[9,25],"(Richard":[10,26],"B.":[11,27],"Evans)Michael":[12],"RenardyMichael":[13],"Renardyhttps://doi.org/10.1137/1036113PDFBibTexSections":[14],"ToolsAdd":[15],"to":[16],"favoritesExport":[17],"CitationTrack":[18],"CitationsEmail":[19],"SectionsAbout\"An":[20],"Evans).\"":[28],"SIAM":[29],"Review,":[30],"36(3),":[31],"p.":[32],"497":[33],"FiguresRelatedReferencesCited":[38],"byDetails":[39],"Volume":[40],"36,":[41],"Issue":[42],"3|":[43],"1994SIAM":[44],"Review":[45],"History":[46],"Published":[47],"online:12":[48],"July":[49],"2006":[50],"InformationCopyright":[51],"\u00a9":[52],"1994":[53],"Society":[54],"Industrial":[56,72],"and":[57,73],"Applied":[58,74],"MathematicsPDF":[59],"Download":[60],"Article":[61],"&":[62],"Publication":[63],"DataArticle":[64],"DOI:10.1137/1036113Article":[65],"page":[66],"range:pp.":[67],"497-497ISSN":[68],"(print):0036-1445ISSN":[69],"(online):1095-7200Publisher:Society":[70],"Mathematics":[75]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
