{"id":"https://openalex.org/W1964831500","doi":"https://doi.org/10.1007/s00211-014-0681-6","title":"Convergence of the block Lanczos method for eigenvalue clusters","display_name":"Convergence of the block Lanczos method for eigenvalue clusters","publication_year":2014,"publication_date":"2014-11-26","ids":{"openalex":"https://openalex.org/W1964831500","doi":"https://doi.org/10.1007/s00211-014-0681-6","mag":"1964831500"},"language":"en","primary_location":{"id":"doi:10.1007/s00211-014-0681-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0681-6","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/A5011252539","display_name":"Ren\u2010Cang Li","orcid":"https://orcid.org/0000-0002-4388-3398"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]},{"id":"https://openalex.org/I191208505","display_name":"Xiamen University","ror":"https://ror.org/00mcjh785","country_code":"CN","type":"education","lineage":["https://openalex.org/I191208505"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Ren-Cang Li","raw_affiliation_strings":["Department of Mathematics, University of Texas at Arlington, P.O. Box 19408, Arlington, TX, 76019-0408, USA","School of Mathematical Science, Xiamen University, Xiamen, People\u2019s Republic of China","School of Mathematical Science, Xiamen University, Xiamen, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Texas at Arlington, P.O. Box 19408, Arlington, TX, 76019-0408, USA","institution_ids":["https://openalex.org/I189196454"]},{"raw_affiliation_string":"School of Mathematical Science, Xiamen University, Xiamen, People\u2019s Republic of China","institution_ids":["https://openalex.org/I191208505"]},{"raw_affiliation_string":"School of Mathematical Science, Xiamen University, Xiamen, People's Republic of China","institution_ids":["https://openalex.org/I191208505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102019567","display_name":"Lei\u2010Hong Zhang","orcid":"https://orcid.org/0000-0001-5349-8621"},"institutions":[{"id":"https://openalex.org/I181679659","display_name":"Shanghai University of Finance and Economics","ror":"https://ror.org/00wtvfq62","country_code":"CN","type":"education","lineage":["https://openalex.org/I181679659"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei-Hong Zhang","raw_affiliation_strings":["School of Mathematics, Shanghai University of Finance and Economics, 777 Guoding Road, Shanghai, 200433, People\u2019s Republic of China","School of Mathematics, Shanghai University of Finance and Economics, 777 Guoding Road, Shanghai, 200433, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shanghai University of Finance and Economics, 777 Guoding Road, Shanghai, 200433, People\u2019s Republic of China","institution_ids":["https://openalex.org/I181679659"]},{"raw_affiliation_string":"School of Mathematics, Shanghai University of Finance and Economics, 777 Guoding Road, Shanghai, 200433, People's Republic of China","institution_ids":["https://openalex.org/I181679659"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011252539"],"corresponding_institution_ids":["https://openalex.org/I189196454","https://openalex.org/I191208505"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.9534,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.90603025,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"131","issue":"1","first_page":"83","last_page":"113"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9914000034332275,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9901000261306763,"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":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8815268278121948},{"id":"https://openalex.org/keywords/lanczos-resampling","display_name":"Lanczos resampling","score":0.8423378467559814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7787818908691406},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5738160014152527},{"id":"https://openalex.org/keywords/lanczos-algorithm","display_name":"Lanczos algorithm","score":0.5669227838516235},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5548893213272095},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5128021836280823},{"id":"https://openalex.org/keywords/eigenvalue-perturbation","display_name":"Eigenvalue perturbation","score":0.4855360984802246},{"id":"https://openalex.org/keywords/inverse-iteration","display_name":"Inverse iteration","score":0.45955976843833923},{"id":"https://openalex.org/keywords/divide-and-conquer-eigenvalue-algorithm","display_name":"Divide-and-conquer eigenvalue algorithm","score":0.4545899033546448},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42369043827056885},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4174593389034271},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33518677949905396},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2093093991279602},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1145772933959961},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06746143102645874},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05499747395515442}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8815268278121948},{"id":"https://openalex.org/C119256216","wikidata":"https://www.wikidata.org/wiki/Q913012","display_name":"Lanczos resampling","level":3,"score":0.8423378467559814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7787818908691406},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5738160014152527},{"id":"https://openalex.org/C20501136","wikidata":"https://www.wikidata.org/wiki/Q366640","display_name":"Lanczos algorithm","level":4,"score":0.5669227838516235},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5548893213272095},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5128021836280823},{"id":"https://openalex.org/C46865736","wikidata":"https://www.wikidata.org/wiki/Q5348914","display_name":"Eigenvalue perturbation","level":3,"score":0.4855360984802246},{"id":"https://openalex.org/C2505209","wikidata":"https://www.wikidata.org/wiki/Q1671724","display_name":"Inverse iteration","level":3,"score":0.45955976843833923},{"id":"https://openalex.org/C192702615","wikidata":"https://www.wikidata.org/wiki/Q5283998","display_name":"Divide-and-conquer eigenvalue algorithm","level":3,"score":0.4545899033546448},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42369043827056885},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4174593389034271},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33518677949905396},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2093093991279602},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1145772933959961},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06746143102645874},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05499747395515442},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00211-014-0681-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00211-014-0681-6","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.46000000834465027}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320307102","display_name":"Intel Corporation","ror":"https://ror.org/01ek73717"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324781","display_name":"Shanghai University of Finance and Economics","ror":"https://ror.org/00wtvfq62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W83404773","https://openalex.org/W131753375","https://openalex.org/W658559791","https://openalex.org/W1522703524","https://openalex.org/W1760551737","https://openalex.org/W1968988636","https://openalex.org/W1970377488","https://openalex.org/W1976798627","https://openalex.org/W1980357388","https://openalex.org/W1981745143","https://openalex.org/W2008698464","https://openalex.org/W2012728721","https://openalex.org/W2015768950","https://openalex.org/W2017279613","https://openalex.org/W2038982442","https://openalex.org/W2043348215","https://openalex.org/W2059586807","https://openalex.org/W2060003085","https://openalex.org/W2064559422","https://openalex.org/W2073137094","https://openalex.org/W2117686912","https://openalex.org/W2144181355","https://openalex.org/W2313114995","https://openalex.org/W2484275557","https://openalex.org/W2798707604","https://openalex.org/W2798909945","https://openalex.org/W3041957324","https://openalex.org/W3043060850","https://openalex.org/W4285719527","https://openalex.org/W4301491118"],"related_works":["https://openalex.org/W2329076530","https://openalex.org/W4288408952","https://openalex.org/W2053168940","https://openalex.org/W2924352133","https://openalex.org/W2067374219","https://openalex.org/W2040134351","https://openalex.org/W2470850800","https://openalex.org/W1572734561","https://openalex.org/W2117216503","https://openalex.org/W2755246508"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
