{"id":"https://openalex.org/W3171873981","doi":"https://doi.org/10.1090/mcom/3734","title":"An algorithm for identifying eigenvectors exhibiting strong spatial localization","display_name":"An algorithm for identifying eigenvectors exhibiting strong spatial localization","publication_year":2022,"publication_date":"2022-02-09","ids":{"openalex":"https://openalex.org/W3171873981","doi":"https://doi.org/10.1090/mcom/3734","mag":"3171873981"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3734","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3734","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","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/A5018522541","display_name":"Jeffrey S. Ovall","orcid":"https://orcid.org/0000-0003-1944-2872"},"institutions":[{"id":"https://openalex.org/I126345244","display_name":"Portland State University","ror":"https://ror.org/00yn2fy02","country_code":"US","type":"education","lineage":["https://openalex.org/I126345244"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jeffrey Ovall","raw_affiliation_strings":["Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, Oregon 97201"],"affiliations":[{"raw_affiliation_string":"Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, Oregon 97201","institution_ids":["https://openalex.org/I126345244"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036739758","display_name":"Robyn Reid","orcid":null},"institutions":[{"id":"https://openalex.org/I126345244","display_name":"Portland State University","ror":"https://ror.org/00yn2fy02","country_code":"US","type":"education","lineage":["https://openalex.org/I126345244"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robyn Reid","raw_affiliation_strings":["Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, Oregon 97201"],"affiliations":[{"raw_affiliation_string":"Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, Oregon 97201","institution_ids":["https://openalex.org/I126345244"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018522541"],"corresponding_institution_ids":["https://openalex.org/I126345244"],"apc_list":null,"apc_paid":null,"fwci":0.7667,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59856345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"92","issue":"341","first_page":"1005","last_page":"1031"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9993000030517578,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991000294685364,"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":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8149887323379517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7396574020385742},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6373229026794434},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5586789846420288},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.551506757736206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19726303219795227},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17072582244873047}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8149887323379517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7396574020385742},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6373229026794434},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5586789846420288},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.551506757736206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19726303219795227},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17072582244873047},{"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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/3734","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3734","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W624043996","https://openalex.org/W1142570554","https://openalex.org/W1485063553","https://openalex.org/W1495084286","https://openalex.org/W1562803290","https://openalex.org/W1575147392","https://openalex.org/W1592106811","https://openalex.org/W1598589780","https://openalex.org/W1723600880","https://openalex.org/W1963833004","https://openalex.org/W1986850771","https://openalex.org/W1990842824","https://openalex.org/W1998906317","https://openalex.org/W2013536707","https://openalex.org/W2019623478","https://openalex.org/W2022723352","https://openalex.org/W2031968565","https://openalex.org/W2035690811","https://openalex.org/W2042851703","https://openalex.org/W2047319386","https://openalex.org/W2047389283","https://openalex.org/W2072052699","https://openalex.org/W2083203373","https://openalex.org/W2090790659","https://openalex.org/W2094834088","https://openalex.org/W2103353477","https://openalex.org/W2111271529","https://openalex.org/W2129192071","https://openalex.org/W2143164363","https://openalex.org/W2154913216","https://openalex.org/W2161156465","https://openalex.org/W2256247477","https://openalex.org/W2284117218","https://openalex.org/W2289808822","https://openalex.org/W2610305921","https://openalex.org/W2765626007","https://openalex.org/W2769838857","https://openalex.org/W2774971108","https://openalex.org/W2794822572","https://openalex.org/W2795829031","https://openalex.org/W2835859657","https://openalex.org/W2890309455","https://openalex.org/W2893494236","https://openalex.org/W2913463558","https://openalex.org/W2923318821","https://openalex.org/W2942710129","https://openalex.org/W2963272389","https://openalex.org/W2963420776","https://openalex.org/W2963625221","https://openalex.org/W2963645054","https://openalex.org/W2963711040","https://openalex.org/W2963789197","https://openalex.org/W2964068828","https://openalex.org/W2964246477","https://openalex.org/W2964264146","https://openalex.org/W2964332084","https://openalex.org/W2983666563","https://openalex.org/W3000315843","https://openalex.org/W3007093339","https://openalex.org/W3008460147","https://openalex.org/W3019627180","https://openalex.org/W3098420365","https://openalex.org/W3102866779","https://openalex.org/W4242526542"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2022544890","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"We":[0],"introduce":[1],"an":[2],"approach":[3],"for":[4,9,30,77],"exploring":[5],"eigenvector":[6,33],"localization":[7],"phenomena":[8],"a":[10,19,23,73],"class":[11],"of":[12,54,65,75],"(unbounded)":[13],"selfadjoint":[14],"operators.":[15],"More":[16],"specifically,":[17],"given":[18],"target":[20,41],"region":[21,42],"and":[22,70],"tolerance,":[24],"the":[25,32,40,66,78],"algorithm":[26,67],"identifies":[27],"candidate":[28],"eigenpairs":[29],"which":[31],"is":[34,68],"expected":[35],"to":[36,43],"be":[37],"localized":[38],"in":[39],"within":[44],"that":[45,58],"tolerance.":[46],"Theoretical":[47],"results,":[48],"together":[49],"with":[50],"detailed":[51],"numerical":[52],"illustrations":[53],"them,":[55],"are":[56],"provided":[57],"support":[59],"our":[60],"algorithm.":[61],"A":[62],"partial":[63],"realization":[64],"described":[69],"tested,":[71],"providing":[72],"proof":[74],"concept":[76],"approach.":[79]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
