{"id":"https://openalex.org/W2589361075","doi":"https://doi.org/10.14495/jsiaml.9.17","title":"Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems","display_name":"Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2589361075","doi":"https://doi.org/10.14495/jsiaml.9.17","mag":"2589361075"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.14495/jsiaml.9.17","pdf_url":"https://www.jstage.jst.go.jp/article/jsiaml/9/0/9_17/_pdf","source":{"id":"https://openalex.org/S2764567258","display_name":"JSIAM Letters","issn_l":"1883-0617","issn":["1883-0617","1883-0609"],"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.jstage.jst.go.jp/article/jsiaml/9/0/9_17/_pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041281952","display_name":"Hongjia Chen","orcid":"https://orcid.org/0000-0002-8994-3421"},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"funder","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hongjia Chen","raw_affiliation_strings":["Department of Computer Science, University of Tsukuba"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Tsukuba","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026191396","display_name":"Yasuyuki Maeda","orcid":null},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"funder","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasuyuki Maeda","raw_affiliation_strings":["Department of Computer Science, University of Tsukuba"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Tsukuba","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047435295","display_name":"Akira Imakura","orcid":"https://orcid.org/0000-0003-4994-2499"},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"funder","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akira Imakura","raw_affiliation_strings":["Department of Computer Science, University of Tsukuba"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Tsukuba","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038336830","display_name":"Tetsuya Sakurai","orcid":"https://orcid.org/0000-0002-5789-7547"},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"funder","lineage":["https://openalex.org/I146399215"]},{"id":"https://openalex.org/I4210086780","display_name":"Japan Science and Technology Agency","ror":"https://ror.org/00097mb19","country_code":"JP","type":"government","lineage":["https://openalex.org/I4210086780"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tetsuya Sakurai","raw_affiliation_strings":["CREST, Japan Science and Technology Agency","Department of Computer Science, University of Tsukuba"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Tsukuba","institution_ids":["https://openalex.org/I146399215"]},{"raw_affiliation_string":"CREST, Japan Science and Technology Agency","institution_ids":["https://openalex.org/I4210086780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059791596","display_name":"Fran\u00e7oise Tisseur","orcid":"https://orcid.org/0000-0002-1011-2570"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"funder","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Francoise Tisseur","raw_affiliation_strings":["School of Mathematics, The University of Manchester"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, The University of Manchester","institution_ids":["https://openalex.org/I28407311"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.577,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":8,"citation_normalized_percentile":{"value":0.798038,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":83,"max":84},"biblio":{"volume":"9","issue":"0","first_page":"17","last_page":"20"},"is_retracted":false,"is_paratext":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/T11416","display_name":"Numerical methods for differential equations","score":0.9992,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9986,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8198849},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.70989996},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6605003},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.540602},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.53281164},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.5299631},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.505153},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.47509825},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4629496},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.45511726},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4478494},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19195968},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17276639},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12523043},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12200341},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.061071068},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.14495/jsiaml.9.17","pdf_url":"https://www.jstage.jst.go.jp/article/jsiaml/9/0/9_17/_pdf","source":{"id":"https://openalex.org/S2764567258","display_name":"JSIAM Letters","issn_l":"1883-0617","issn":["1883-0617","1883-0609"],"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://www.research.manchester.ac.uk/portal/en/publications/improving-the-numerical-stability-of-the-sakuraisugiura-method-for-quadratic-eigenvalue-problems(6602e6cb-bef2-4d1e-bd3a-3dea686a34a8).html","pdf_url":"https://research.manchester.ac.uk/files/50614953/jsiam_letter.pdf","source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":["University of Manchester"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://pure.manchester.ac.uk/ws/files/50614953/jsiam_letter.pdf","pdf_url":"https://pure.manchester.ac.uk/ws/files/50614953/jsiam_letter.pdf","source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":["University of Manchester"],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://tsukuba.repo.nii.ac.jp/record/46507/files/JSIAML_9-2017.pdf","pdf_url":"https://tsukuba.repo.nii.ac.jp/record/46507/files/JSIAML_9-2017.pdf","source":{"id":"https://openalex.org/S4306402076","display_name":"Terrestrial Environment Research Center (University of Tsukuba)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I146399215","host_organization_name":"University of Tsukuba","host_organization_lineage":["https://openalex.org/I146399215"],"host_organization_lineage_names":["University of Tsukuba"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.14495/jsiaml.9.17","pdf_url":"https://www.jstage.jst.go.jp/article/jsiaml/9/0/9_17/_pdf","source":{"id":"https://openalex.org/S2764567258","display_name":"JSIAM Letters","issn_l":"1883-0617","issn":["1883-0617","1883-0609"],"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":11,"referenced_works":["https://openalex.org/W1856442002","https://openalex.org/W1964969802","https://openalex.org/W1970606629","https://openalex.org/W1972024593","https://openalex.org/W2013536707","https://openalex.org/W2022838696","https://openalex.org/W2031968565","https://openalex.org/W2037002891","https://openalex.org/W2157377495","https://openalex.org/W2159901087","https://openalex.org/W2163336887"],"related_works":["https://openalex.org/W4299508867","https://openalex.org/W4226214462","https://openalex.org/W3169007055","https://openalex.org/W2940603871","https://openalex.org/W2102789413","https://openalex.org/W2096467061","https://openalex.org/W2082296130","https://openalex.org/W2052500721","https://openalex.org/W1854082044","https://openalex.org/W1532287630"],"abstract_inverted_index":{"The":[0,25],"Sakurai-Sugiura":[1],"method":[2,27,75],"with":[3,57,85],"Rayleigh-Ritz":[4],"projection":[5],"(SS-RR":[6],"method)":[7],"finds":[8],"the":[9,16,34,38,47,51,63,69,73,95],"eigenvalues":[10],"in":[11,43],"a":[12,58],"certain":[13],"domain":[14],"of":[15,19,37,50,72],"complex":[17],"plane":[18],"large":[20],"quadratic":[21],"eigenvalue":[22],"problems":[23],"(QEPs).":[24],"SS-RR":[26,52,96],"can":[28],"suffer":[29],"from":[30],"numerical":[31,48,79],"instability":[32],"when":[33],"coefficient":[35],"matrices":[36],"projected":[39,65],"QEP":[40],"vary":[41],"widely":[42],"norm.":[44],"To":[45],"improve":[46],"stability":[49,71],"method,":[53],"we":[54],"combine":[55],"it":[56,82],"numerically":[59],"stable":[60],"eigensolver":[61],"for":[62],"small":[64],"QEP.":[66],"We":[67],"analyze":[68],"backward":[70,86],"proposed":[74],"and":[76],"show,":[77],"through":[78],"experiments,":[80],"that":[81,88],"computes":[83],"eigenpairs":[84],"errors":[87],"are":[89],"smaller":[90],"than":[91],"those":[92],"computed":[93],"by":[94],"method.":[97]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2589361075","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-03-17T18:39:24.361883","created_date":"2017-03-03"}