{"id":"https://openalex.org/W2132689339","doi":"https://doi.org/10.1007/s00211-014-0677-2","title":"A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible $$M$$ M -matrix","display_name":"A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible $$M$$ M -matrix","publication_year":2014,"publication_date":"2014-11-21","ids":{"openalex":"https://openalex.org/W2132689339","doi":"https://doi.org/10.1007/s00211-014-0677-2","mag":"2132689339"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-014-0677-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0677-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","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/A5075378610","display_name":"Zhongxiao Jia","orcid":"https://orcid.org/0000-0001-9761-8517"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhongxiao Jia","raw_affiliation_strings":["Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People\u2019s Republic of China","Department of Mathematical Sciences, Tsinghua University, Beijing, People's Republic of China 100084#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People\u2019s Republic of China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing, People's Republic of China 100084#TAB#","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101337552","display_name":"Wen\u2010Wei Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Wen-Wei Lin","raw_affiliation_strings":["Department of Applied Mathematics, National Chiao Tung University, Hsinchu, 300, Taiwan","Department of Applied Mathematics, National Chiao Tung University, Hsinchu , Taiwan 300#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Chiao Tung University, Hsinchu, 300, Taiwan","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Department of Applied Mathematics, National Chiao Tung University, Hsinchu , Taiwan 300#TAB#","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066706704","display_name":"Ching-Sung Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ching-Sung Liu","raw_affiliation_strings":["Department of Applied Mathematics, National Chiao Tung University, Hsinchu, 300, Taiwan","Department of Applied Mathematics, National Chiao Tung University, Hsinchu , Taiwan 300#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, National Chiao Tung University, Hsinchu, 300, Taiwan","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Department of Applied Mathematics, National Chiao Tung University, Hsinchu , Taiwan 300#TAB#","institution_ids":["https://openalex.org/I148366613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075378610"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8358,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.86193659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"130","issue":"4","first_page":"645","last_page":"679"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9911999702453613,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.837538480758667},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.8061743378639221},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7968975901603699},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.656938374042511},{"id":"https://openalex.org/keywords/arnoldi-iteration","display_name":"Arnoldi iteration","score":0.6273382902145386},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.5948852300643921},{"id":"https://openalex.org/keywords/power-iteration","display_name":"Power iteration","score":0.5528150796890259},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5417971611022949},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5395810604095459},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4406798779964447},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.3605653643608093},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33125874400138855},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.286171019077301},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05820360779762268}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.837538480758667},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.8061743378639221},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7968975901603699},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.656938374042511},{"id":"https://openalex.org/C43143463","wikidata":"https://www.wikidata.org/wiki/Q696822","display_name":"Arnoldi iteration","level":4,"score":0.6273382902145386},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.5948852300643921},{"id":"https://openalex.org/C162443888","wikidata":"https://www.wikidata.org/wiki/Q1426504","display_name":"Power iteration","level":3,"score":0.5528150796890259},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5417971611022949},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5395810604095459},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4406798779964447},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.3605653643608093},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33125874400138855},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.286171019077301},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05820360779762268},{"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-014-0677-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0677-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210205683","display_name":"Numerische Mathematik","issn_l":"0029-599X","issn":["0029-599X","0945-3245"],"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":"Numerische Mathematik","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W84495978","https://openalex.org/W169382357","https://openalex.org/W391578156","https://openalex.org/W1500921805","https://openalex.org/W1509860612","https://openalex.org/W1563653928","https://openalex.org/W1598312513","https://openalex.org/W1608412409","https://openalex.org/W1966082499","https://openalex.org/W1971837295","https://openalex.org/W1984063140","https://openalex.org/W2005734078","https://openalex.org/W2009921428","https://openalex.org/W2013737143","https://openalex.org/W2019149899","https://openalex.org/W2020905775","https://openalex.org/W2024072508","https://openalex.org/W2033430390","https://openalex.org/W2046204483","https://openalex.org/W2051638203","https://openalex.org/W2059586807","https://openalex.org/W2064176252","https://openalex.org/W2069262775","https://openalex.org/W2073955633","https://openalex.org/W2079401131","https://openalex.org/W2086160340","https://openalex.org/W2096320709","https://openalex.org/W2118497999","https://openalex.org/W2125670843","https://openalex.org/W2138685211","https://openalex.org/W2156161953","https://openalex.org/W2271295020","https://openalex.org/W2317418032","https://openalex.org/W2322621697","https://openalex.org/W2342316458","https://openalex.org/W2480854438","https://openalex.org/W2610857016","https://openalex.org/W2798909945","https://openalex.org/W3022136271","https://openalex.org/W3035235874","https://openalex.org/W3105539242","https://openalex.org/W4242722506","https://openalex.org/W4295016751"],"related_works":["https://openalex.org/W4285325102","https://openalex.org/W1566671635","https://openalex.org/W2358739842","https://openalex.org/W2185794209","https://openalex.org/W1844423250","https://openalex.org/W2023833589","https://openalex.org/W3033977959","https://openalex.org/W2586295522","https://openalex.org/W4248759904","https://openalex.org/W2357170290"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
