{"id":"https://openalex.org/W1984595341","doi":"https://doi.org/10.14495/jsiaml.1.56","title":"Differential qd algorithm for totally nonnegative band matrices: convergence properties and error analysis","display_name":"Differential qd algorithm for totally nonnegative band matrices: convergence properties and error analysis","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1984595341","doi":"https://doi.org/10.14495/jsiaml.1.56","mag":"1984595341"},"language":"en","primary_location":{"id":"doi:10.14495/jsiaml.1.56","is_oa":true,"landing_page_url":"https://doi.org/10.14495/jsiaml.1.56","pdf_url":"https://www.jstage.jst.go.jp/article/jsiaml/1/0/1_0_56/_pdf","source":{"id":"https://openalex.org/S2764567258","display_name":"JSIAM Letters","issn_l":"1883-0609","issn":["1883-0609","1883-0617"],"is_oa":true,"is_in_doaj":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,"raw_source_name":"JSIAM Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.jstage.jst.go.jp/article/jsiaml/1/0/1_0_56/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103155193","display_name":"Yusaku Yamamoto","orcid":"https://orcid.org/0000-0001-5682-3434"},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yusaku Yamamoto","raw_affiliation_strings":["Department of Computational Science and Engineering, Nagoya University","Department of Computational Science and Engineering, Nagoya University#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computational Science and Engineering, Nagoya University","institution_ids":["https://openalex.org/I60134161"]},{"raw_affiliation_string":"Department of Computational Science and Engineering, Nagoya University#TAB#","institution_ids":["https://openalex.org/I60134161"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055706373","display_name":"Takeshi Fukaya","orcid":"https://orcid.org/0000-0003-1217-6444"},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takeshi Fukaya","raw_affiliation_strings":["Department of Computational Science and Engineering, Nagoya University","Department of Computational Science and Engineering, Nagoya University#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computational Science and Engineering, Nagoya University","institution_ids":["https://openalex.org/I60134161"]},{"raw_affiliation_string":"Department of Computational Science and Engineering, Nagoya University#TAB#","institution_ids":["https://openalex.org/I60134161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103155193"],"corresponding_institution_ids":["https://openalex.org/I60134161"],"apc_list":null,"apc_paid":null,"fwci":0.6856,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.68630291,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":"0","first_page":"56","last_page":"59"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9932000041007996,"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/convergence","display_name":"Convergence (economics)","score":0.7680941820144653},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7430431246757507},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7375232577323914},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5644508600234985},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5417131185531616},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41617900133132935},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09335225820541382},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.0577453076839447}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7680941820144653},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7430431246757507},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7375232577323914},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5644508600234985},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5417131185531616},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41617900133132935},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09335225820541382},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0577453076839447},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.14495/jsiaml.1.56","is_oa":true,"landing_page_url":"https://doi.org/10.14495/jsiaml.1.56","pdf_url":"https://www.jstage.jst.go.jp/article/jsiaml/1/0/1_0_56/_pdf","source":{"id":"https://openalex.org/S2764567258","display_name":"JSIAM Letters","issn_l":"1883-0609","issn":["1883-0609","1883-0617"],"is_oa":true,"is_in_doaj":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,"raw_source_name":"JSIAM Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.14495/jsiaml.1.56","is_oa":true,"landing_page_url":"https://doi.org/10.14495/jsiaml.1.56","pdf_url":"https://www.jstage.jst.go.jp/article/jsiaml/1/0/1_0_56/_pdf","source":{"id":"https://openalex.org/S2764567258","display_name":"JSIAM Letters","issn_l":"1883-0609","issn":["1883-0609","1883-0617"],"is_oa":true,"is_in_doaj":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,"raw_source_name":"JSIAM Letters","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4000000059604645,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1984595341.pdf","grobid_xml":"https://content.openalex.org/works/W1984595341.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1977362558","https://openalex.org/W2002168116","https://openalex.org/W2013737143","https://openalex.org/W2020804487","https://openalex.org/W2030948577","https://openalex.org/W2039937805","https://openalex.org/W2041144497","https://openalex.org/W2054643050","https://openalex.org/W2060452389","https://openalex.org/W2094302535","https://openalex.org/W2100510181","https://openalex.org/W2107785791","https://openalex.org/W4237384699"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2317200988","https://openalex.org/W2052122378","https://openalex.org/W2544423928","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2989452537"],"abstract_inverted_index":{"We":[0],"analyze":[1],"convergence":[2],"properties":[3,6],"and":[4,28],"numerical":[5],"of":[7],"the":[8,23],"differential":[9],"qd":[10],"algorithm":[11,24],"generalized":[12],"for":[13],"totally":[14],"nonnegative":[15],"band":[16],"matrices.":[17],"In":[18],"particular,":[19],"we":[20],"show":[21],"that":[22],"is":[25],"globally":[26],"convergent":[27],"can":[29],"compute":[30],"all":[31],"eigenvalues":[32],"to":[33],"high":[34],"relative":[35],"accuracy.":[36]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
