{"id":"https://openalex.org/W2043561826","doi":"https://doi.org/10.1137/s0036144596303984","title":"Inverse Eigenvalue Problems","display_name":"Inverse Eigenvalue Problems","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2043561826","doi":"https://doi.org/10.1137/s0036144596303984","mag":"2043561826"},"language":"en","primary_location":{"id":"doi:10.1137/s0036144596303984","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036144596303984","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/A5029654954","display_name":"Moody T. Chu","orcid":"https://orcid.org/0000-0001-8544-3588"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Moody T. Chu","raw_affiliation_strings":["North Carolina State University,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"North Carolina State University,","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029654954"],"corresponding_institution_ids":["https://openalex.org/I137902535"],"apc_list":null,"apc_paid":null,"fwci":11.2162,"has_fulltext":false,"cited_by_count":314,"citation_normalized_percentile":{"value":0.9890349,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"40","issue":"1","first_page":"1","last_page":"39"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":1.0,"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":1.0,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9980999827384949,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/exposition","display_name":"Exposition (narrative)","score":0.8724545240402222},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7542397975921631},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6054033637046814},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5463436841964722},{"id":"https://openalex.org/keywords/bibliography","display_name":"Bibliography","score":0.5249300599098206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5111482739448547},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5062314867973328},{"id":"https://openalex.org/keywords/divide-and-conquer-eigenvalue-algorithm","display_name":"Divide-and-conquer eigenvalue algorithm","score":0.4830642342567444},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4710671305656433},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.37575075030326843},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3753962516784668},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17948168516159058},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.13176149129867554},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12632521986961365},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.06812262535095215},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.04865947365760803}],"concepts":[{"id":"https://openalex.org/C2776285698","wikidata":"https://www.wikidata.org/wiki/Q2642214","display_name":"Exposition (narrative)","level":2,"score":0.8724545240402222},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7542397975921631},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6054033637046814},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5463436841964722},{"id":"https://openalex.org/C97002063","wikidata":"https://www.wikidata.org/wiki/Q134995","display_name":"Bibliography","level":2,"score":0.5249300599098206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5111482739448547},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5062314867973328},{"id":"https://openalex.org/C192702615","wikidata":"https://www.wikidata.org/wiki/Q5283998","display_name":"Divide-and-conquer eigenvalue algorithm","level":3,"score":0.4830642342567444},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4710671305656433},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.37575075030326843},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3753962516784668},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17948168516159058},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.13176149129867554},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12632521986961365},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.06812262535095215},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.04865947365760803},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0036144596303984","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036144596303984","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.69.9507","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.69.9507","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www4.ncsu.edu/~mtchu/Research/Papers/inverse.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":181,"referenced_works":["https://openalex.org/W22212747","https://openalex.org/W48713536","https://openalex.org/W83404773","https://openalex.org/W84129940","https://openalex.org/W129681667","https://openalex.org/W179652530","https://openalex.org/W613741184","https://openalex.org/W658559791","https://openalex.org/W1500921805","https://openalex.org/W1538878715","https://openalex.org/W1569908274","https://openalex.org/W1588963622","https://openalex.org/W1592302237","https://openalex.org/W1605290597","https://openalex.org/W1654515523","https://openalex.org/W1966132321","https://openalex.org/W1966382716","https://openalex.org/W1967057267","https://openalex.org/W1967890524","https://openalex.org/W1968241640","https://openalex.org/W1968744465","https://openalex.org/W1970148674","https://openalex.org/W1970376871","https://openalex.org/W1970468268","https://openalex.org/W1970570488","https://openalex.org/W1971027140","https://openalex.org/W1971626901","https://openalex.org/W1971682898","https://openalex.org/W1972249541","https://openalex.org/W1973361481","https://openalex.org/W1973709471","https://openalex.org/W1973784917","https://openalex.org/W1975277883","https://openalex.org/W1975996944","https://openalex.org/W1976488733","https://openalex.org/W1977085710","https://openalex.org/W1977299049","https://openalex.org/W1977430294","https://openalex.org/W1978654015","https://openalex.org/W1978894946","https://openalex.org/W1980919983","https://openalex.org/W1983886031","https://openalex.org/W1984114523","https://openalex.org/W1984290020","https://openalex.org/W1984525458","https://openalex.org/W1985109612","https://openalex.org/W1985982941","https://openalex.org/W1986367849","https://openalex.org/W1988234096","https://openalex.org/W1988482309","https://openalex.org/W1988664436","https://openalex.org/W1989204037","https://openalex.org/W1989620948","https://openalex.org/W1989828432","https://openalex.org/W1991521459","https://openalex.org/W1993424854","https://openalex.org/W1994907031","https://openalex.org/W1995565421","https://openalex.org/W1996254716","https://openalex.org/W1996387379","https://openalex.org/W1998599604","https://openalex.org/W1998627902","https://openalex.org/W1999490029","https://openalex.org/W2000351871","https://openalex.org/W2001135093","https://openalex.org/W2001281336","https://openalex.org/W2002697620","https://openalex.org/W2003449296","https://openalex.org/W2003718964","https://openalex.org/W2004185271","https://openalex.org/W2006309149","https://openalex.org/W2006386896","https://openalex.org/W2006409409","https://openalex.org/W2007179152","https://openalex.org/W2008201725","https://openalex.org/W2009667469","https://openalex.org/W2010315591","https://openalex.org/W2011744280","https://openalex.org/W2012175805","https://openalex.org/W2014185853","https://openalex.org/W2014826965","https://openalex.org/W2015246733","https://openalex.org/W2015459336","https://openalex.org/W2015612836","https://openalex.org/W2017391765","https://openalex.org/W2017415695","https://openalex.org/W2018489825","https://openalex.org/W2019294601","https://openalex.org/W2020995832","https://openalex.org/W2023137937","https://openalex.org/W2026411953","https://openalex.org/W2029018058","https://openalex.org/W2029628252","https://openalex.org/W2033231393","https://openalex.org/W2033391697","https://openalex.org/W2033676330","https://openalex.org/W2034578398","https://openalex.org/W2035990937","https://openalex.org/W2036506969","https://openalex.org/W2038144316","https://openalex.org/W2038354127","https://openalex.org/W2039379871","https://openalex.org/W2041437078","https://openalex.org/W2043687807","https://openalex.org/W2045437733","https://openalex.org/W2045701663","https://openalex.org/W2046608052","https://openalex.org/W2047917018","https://openalex.org/W2050687486","https://openalex.org/W2051730975","https://openalex.org/W2056218798","https://openalex.org/W2058367641","https://openalex.org/W2059903013","https://openalex.org/W2061859273","https://openalex.org/W2064085647","https://openalex.org/W2064404969","https://openalex.org/W2066624117","https://openalex.org/W2066887867","https://openalex.org/W2067713126","https://openalex.org/W2067867333","https://openalex.org/W2069142809","https://openalex.org/W2069865068","https://openalex.org/W2072335818","https://openalex.org/W2072454706","https://openalex.org/W2073169288","https://openalex.org/W2073283971","https://openalex.org/W2074501308","https://openalex.org/W2076426180","https://openalex.org/W2077647663","https://openalex.org/W2078338658","https://openalex.org/W2078949011","https://openalex.org/W2079711459","https://openalex.org/W2081057289","https://openalex.org/W2082623392","https://openalex.org/W2082727440","https://openalex.org/W2083796947","https://openalex.org/W2084367325","https://openalex.org/W2084803398","https://openalex.org/W2084876298","https://openalex.org/W2090135779","https://openalex.org/W2090943575","https://openalex.org/W2092166591","https://openalex.org/W2092725072","https://openalex.org/W2092937564","https://openalex.org/W2093013597","https://openalex.org/W2094492653","https://openalex.org/W2095462095","https://openalex.org/W2105433369","https://openalex.org/W2110673183","https://openalex.org/W2111183201","https://openalex.org/W2111965642","https://openalex.org/W2116062391","https://openalex.org/W2116068977","https://openalex.org/W2117453669","https://openalex.org/W2133413084","https://openalex.org/W2133776435","https://openalex.org/W2138722874","https://openalex.org/W2148618957","https://openalex.org/W2150835965","https://openalex.org/W2152004476","https://openalex.org/W2152743259","https://openalex.org/W2157914816","https://openalex.org/W2165362061","https://openalex.org/W2168082121","https://openalex.org/W2195864291","https://openalex.org/W2312659580","https://openalex.org/W2316371601","https://openalex.org/W2325511209","https://openalex.org/W2327180895","https://openalex.org/W2330052688","https://openalex.org/W2331491362","https://openalex.org/W2335487254","https://openalex.org/W2475340053","https://openalex.org/W2498110550","https://openalex.org/W2578904828","https://openalex.org/W2610857016","https://openalex.org/W3021655384","https://openalex.org/W4253013366","https://openalex.org/W4285719527","https://openalex.org/W4294571370","https://openalex.org/W4302558404"],"related_works":["https://openalex.org/W2356114564","https://openalex.org/W2350151408","https://openalex.org/W2380661758","https://openalex.org/W3005974700","https://openalex.org/W3006355877","https://openalex.org/W3165905718","https://openalex.org/W3006351327","https://openalex.org/W2331917905","https://openalex.org/W3155039083","https://openalex.org/W1970914699"],"abstract_inverted_index":{"Abstract.":[0],"A":[1],"collection":[2],"of":[3,48],"inverse":[4],"eigenvalue":[5],"problems":[6],"are":[7,27],"identi":[8],"ed":[9,12],"and":[10,23,29],"classi":[11],"according":[13],"to":[14],"their":[15],"characteristics.":[16],"Current":[17],"developments":[18],"in":[19,31],"both":[20],"the":[21,24],"theoretic":[22],"algorithmic":[25],"aspects":[26],"summarized":[28],"reviewed":[30],"this":[32],"paper.":[33],"This":[34],"exposition":[35],"also":[36],"reveals":[37],"many":[38],"open":[39],"questions":[40],"that":[41],"deserves":[42],"further":[43],"study.":[44],"An":[45],"extensive":[46],"bibliography":[47],"pertinent":[49],"literature":[50],"is":[51],"attached.":[52]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":14},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":13},{"year":2015,"cited_by_count":20},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":11}],"updated_date":"2026-05-12T08:28:47.272897","created_date":"2025-10-10T00:00:00"}
