{"id":"https://openalex.org/W2086231554","doi":"https://doi.org/10.1007/s11075-015-9957-x","title":"A finite-step construction of totally nonnegative matrices with specified eigenvalues","display_name":"A finite-step construction of totally nonnegative matrices with specified eigenvalues","publication_year":2015,"publication_date":"2015-01-12","ids":{"openalex":"https://openalex.org/W2086231554","doi":"https://doi.org/10.1007/s11075-015-9957-x","mag":"2086231554"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-015-9957-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-9957-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","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/A5055353916","display_name":"Kanae Akaiwa","orcid":null},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kanae Akaiwa","raw_affiliation_strings":["Graduate School of Informatics, Kyoto University, Yoshida-Hommachi, Sakyo-ku, Kyoto, 606-8501, Japan","Graduate School of Informatics, Kyoto University, Sakyo-ku, Japan 606-8501#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Informatics, Kyoto University, Yoshida-Hommachi, Sakyo-ku, Kyoto, 606-8501, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Graduate School of Informatics, Kyoto University, Sakyo-ku, Japan 606-8501#TAB#","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101699870","display_name":"Yoshimasa Nakamura","orcid":"https://orcid.org/0000-0001-7607-7782"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yoshimasa Nakamura","raw_affiliation_strings":["Graduate School of Informatics, Kyoto University, Yoshida-Hommachi, Sakyo-ku, Kyoto, 606-8501, Japan","Graduate School of Informatics, Kyoto University, Sakyo-ku, Japan 606-8501#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Informatics, Kyoto University, Yoshida-Hommachi, Sakyo-ku, Kyoto, 606-8501, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Graduate School of Informatics, Kyoto University, Sakyo-ku, Japan 606-8501#TAB#","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026945524","display_name":"Masashi Iwasaki","orcid":"https://orcid.org/0000-0002-9914-0331"},"institutions":[{"id":"https://openalex.org/I169719367","display_name":"Kyoto Prefectural University","ror":"https://ror.org/00ktqrd38","country_code":"JP","type":"education","lineage":["https://openalex.org/I169719367"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Masashi Iwasaki","raw_affiliation_strings":["Department of Informatics and Environmental Science, Kyoto Prefectural University, 1-5 Nakaragi-cho, Shimogamo, Sakyo-ku, Kyoto, 606-8522, Japan","Department of Informatics and Environmental Science, Kyoto Prefectural University, Sakyo-ku, Japan 606-8522#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics and Environmental Science, Kyoto Prefectural University, 1-5 Nakaragi-cho, Shimogamo, Sakyo-ku, Kyoto, 606-8522, Japan","institution_ids":["https://openalex.org/I169719367"]},{"raw_affiliation_string":"Department of Informatics and Environmental Science, Kyoto Prefectural University, Sakyo-ku, Japan 606-8522#TAB#","institution_ids":["https://openalex.org/I169719367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070262484","display_name":"Hisayoshi Tsutsumi","orcid":null},"institutions":[{"id":"https://openalex.org/I133984924","display_name":"Doshisha University","ror":"https://ror.org/01fxdkm29","country_code":"JP","type":"education","lineage":["https://openalex.org/I133984924"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hisayoshi Tsutsumi","raw_affiliation_strings":["Graduate School of Science and Engineering, Doshisha University, 1-3 Tatara Miyakodani, Kyotanabe City, Kyoto, 610-0394, Japan","Graduate School of Science and Engineering, Doshisha University, Kyotanabe City, Japan 610-0394#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Doshisha University, 1-3 Tatara Miyakodani, Kyotanabe City, Kyoto, 610-0394, Japan","institution_ids":["https://openalex.org/I133984924"]},{"raw_affiliation_string":"Graduate School of Science and Engineering, Doshisha University, Kyotanabe City, Japan 610-0394#TAB#","institution_ids":["https://openalex.org/I133984924"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011440376","display_name":"Koichi Kondo","orcid":"https://orcid.org/0009-0008-5600-6045"},"institutions":[{"id":"https://openalex.org/I133984924","display_name":"Doshisha University","ror":"https://ror.org/01fxdkm29","country_code":"JP","type":"education","lineage":["https://openalex.org/I133984924"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koichi Kondo","raw_affiliation_strings":["Graduate School of Science and Engineering, Doshisha University, 1-3 Tatara Miyakodani, Kyotanabe City, Kyoto, 610-0394, Japan","Graduate School of Science and Engineering, Doshisha University, Kyotanabe City, Japan 610-0394#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Doshisha University, 1-3 Tatara Miyakodani, Kyotanabe City, Kyoto, 610-0394, Japan","institution_ids":["https://openalex.org/I133984924"]},{"raw_affiliation_string":"Graduate School of Science and Engineering, Doshisha University, Kyotanabe City, Japan 610-0394#TAB#","institution_ids":["https://openalex.org/I133984924"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055353916"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.2319,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.56730315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"70","issue":"3","first_page":"469","last_page":"484"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9979000091552734,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.8917087912559509},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8411135077476501},{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.6342290043830872},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5392834544181824},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48025229573249817},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.47561341524124146},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.42025846242904663},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4016669690608978},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4012242257595062},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11414951086044312},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.061871737241744995}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8917087912559509},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8411135077476501},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.6342290043830872},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5392834544181824},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48025229573249817},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.47561341524124146},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.42025846242904663},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4016669690608978},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4012242257595062},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11414951086044312},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.061871737241744995},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-015-9957-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-9957-x","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1567599450","display_name":"New developments of matrix similarity transformations derived from integrable systems","funder_award_id":"26400208","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4579013718","display_name":"Challenge to Breakdown of Integrable Algorithms","funder_award_id":"15K13457","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G6558293987","display_name":"\u53ef\u7a4d\u5206\u306a\u56fa\u6709\u5024\u8a08\u7b97\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u308b\u91cd\u8907\u56fa\u6709\u5024\u8a08\u7b97\u306e\u6f38\u8fd1\u89e3\u6790","funder_award_id":"14J06045","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G7116743194","display_name":"Development of high speed singular value decomposition algorithm for sparse matrices of large scale and upload of its source code","funder_award_id":"24360038","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W565573710","https://openalex.org/W568790798","https://openalex.org/W626183909","https://openalex.org/W1976407124","https://openalex.org/W1978894946","https://openalex.org/W1978905317","https://openalex.org/W1982891628","https://openalex.org/W2003292375","https://openalex.org/W2015416660","https://openalex.org/W2023413246","https://openalex.org/W2031991359","https://openalex.org/W2037754607","https://openalex.org/W2046824594","https://openalex.org/W2067894710","https://openalex.org/W2083796947","https://openalex.org/W2090958576","https://openalex.org/W2094302535","https://openalex.org/W2170120409","https://openalex.org/W2171103708","https://openalex.org/W2576495983","https://openalex.org/W4211000381","https://openalex.org/W4240245484","https://openalex.org/W4249909331","https://openalex.org/W4299822471","https://openalex.org/W6811477456","https://openalex.org/W6833424724"],"related_works":["https://openalex.org/W2044787408","https://openalex.org/W4249228129","https://openalex.org/W3104927070","https://openalex.org/W2040820615","https://openalex.org/W2019140719","https://openalex.org/W155593081","https://openalex.org/W2738038633","https://openalex.org/W1506619710","https://openalex.org/W1974729172","https://openalex.org/W1993494003"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-09T07:52:08.696243","created_date":"2025-10-10T00:00:00"}