{"id":"https://openalex.org/W2994740981","doi":"https://doi.org/10.1007/s11075-019-00846-z","title":"On the residual norms, the Ritz values and the harmonic Ritz values that can be generated by restarted GMRES","display_name":"On the residual norms, the Ritz values and the harmonic Ritz values that can be generated by restarted GMRES","publication_year":2019,"publication_date":"2019-12-12","ids":{"openalex":"https://openalex.org/W2994740981","doi":"https://doi.org/10.1007/s11075-019-00846-z","mag":"2994740981"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-019-00846-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00846-z","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/A5022706753","display_name":"Jurjen Duintjer Tebbens","orcid":"https://orcid.org/0000-0003-0553-854X"},"institutions":[{"id":"https://openalex.org/I202391551","display_name":"Czech Academy of Sciences","ror":"https://ror.org/053avzc18","country_code":"CZ","type":"government","lineage":["https://openalex.org/I202391551"]},{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]},{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Jurjen Duintjer Tebbens","raw_affiliation_strings":["Department of Biophysics and Physical Chemistry, Faculty of Pharmacy, Charles University, Akademika Heyrovsk\u00e9ho 1203, 500 05, Hradec Kr\u00e1lov\u00e9, Czech Republic","Institute of Computer Science, Czech Academy of Sciences, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 2, 18 207, Prague 8 - Libe\u0148, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0003-0553-854X","affiliations":[{"raw_affiliation_string":"Department of Biophysics and Physical Chemistry, Faculty of Pharmacy, Charles University, Akademika Heyrovsk\u00e9ho 1203, 500 05, Hradec Kr\u00e1lov\u00e9, Czech Republic","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Institute of Computer Science, Czech Academy of Sciences, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 2, 18 207, Prague 8 - Libe\u0148, Czech Republic","institution_ids":["https://openalex.org/I4210155092","https://openalex.org/I202391551"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038039221","display_name":"G\u00e9rard Meurant","orcid":"https://orcid.org/0000-0002-6036-3482"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G\u00e9rard Meurant","raw_affiliation_strings":["30 rue du sergent Bauchat, 75012, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"30 rue du sergent Bauchat, 75012, Paris, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022706753"],"corresponding_institution_ids":["https://openalex.org/I202391551","https://openalex.org/I21250087","https://openalex.org/I4210155092"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.2,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.58161344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"84","issue":"4","first_page":"1329","last_page":"1352"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9937000274658203,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9722999930381775,"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/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.9896676540374756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8184044361114502},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.6564114093780518},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5743488073348999},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5275972485542297},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5125858187675476},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49250516295433044},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30850735306739807},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12126046419143677}],"concepts":[{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.9896676540374756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8184044361114502},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6564114093780518},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5743488073348999},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5275972485542297},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5125858187675476},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49250516295433044},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30850735306739807},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12126046419143677},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/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/s11075-019-00846-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00846-z","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/G2547364295","display_name":null,"funder_award_id":"RVO: 67985807","funder_id":"https://openalex.org/F4320322482","funder_display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320322482","display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky","ror":"https://ror.org/053avzc18"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1550543785","https://openalex.org/W1669374329","https://openalex.org/W1977061454","https://openalex.org/W1987710178","https://openalex.org/W1990351032","https://openalex.org/W1999476674","https://openalex.org/W2000563639","https://openalex.org/W2006651457","https://openalex.org/W2024309563","https://openalex.org/W2025324598","https://openalex.org/W2029149905","https://openalex.org/W2037714220","https://openalex.org/W2039576693","https://openalex.org/W2040023653","https://openalex.org/W2044262951","https://openalex.org/W2047263139","https://openalex.org/W2049644675","https://openalex.org/W2052579356","https://openalex.org/W2053939418","https://openalex.org/W2067028470","https://openalex.org/W2069569758","https://openalex.org/W2076892752","https://openalex.org/W2084864145","https://openalex.org/W2085259167","https://openalex.org/W2092148050","https://openalex.org/W2092886819","https://openalex.org/W2109382440","https://openalex.org/W2109623831","https://openalex.org/W2117949169","https://openalex.org/W2128836543","https://openalex.org/W2139875628","https://openalex.org/W2139940635","https://openalex.org/W2140153041","https://openalex.org/W2167262293","https://openalex.org/W2222006807","https://openalex.org/W2599026365","https://openalex.org/W2789362212","https://openalex.org/W3098036980","https://openalex.org/W4213384572","https://openalex.org/W4290828441"],"related_works":["https://openalex.org/W3090099422","https://openalex.org/W2047263139","https://openalex.org/W2757608559","https://openalex.org/W2032899988","https://openalex.org/W2072568196","https://openalex.org/W2971922054","https://openalex.org/W2023257187","https://openalex.org/W2610002741","https://openalex.org/W4220970845","https://openalex.org/W2066215857"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}
