{"id":"https://openalex.org/W4388455363","doi":"https://doi.org/10.1007/s11075-023-01691-x","title":"Estimating error norms in CG-like algorithms for least-squares and least-norm problems","display_name":"Estimating error norms in CG-like algorithms for least-squares and least-norm problems","publication_year":2023,"publication_date":"2023-11-07","ids":{"openalex":"https://openalex.org/W4388455363","doi":"https://doi.org/10.1007/s11075-023-01691-x"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-023-01691-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-023-01691-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/A5015841136","display_name":"Jan Pape\u017e","orcid":"https://orcid.org/0009-0003-8335-3302"},"institutions":[{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Jan Pape\u017e","raw_affiliation_strings":["Institute of Mathematics, Czech Academy of Sciences, \u017ditn\u00e1 25, Prague, 115 67, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Czech Academy of Sciences, \u017ditn\u00e1 25, Prague, 115 67, Czech Republic","institution_ids":["https://openalex.org/I4210120266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074085350","display_name":"Petr Tich\u00fd","orcid":"https://orcid.org/0000-0001-6008-4056"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Petr Tich\u00fd","raw_affiliation_strings":["Faculty of Mathematics and Physics, Charles University, Sokolovsk\u00e1 83, Prague, 186 75, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, Charles University, Sokolovsk\u00e1 83, Prague, 186 75, Czech Republic","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015841136"],"corresponding_institution_ids":["https://openalex.org/I4210120266"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.0076,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80365403,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"97","issue":"1","first_page":"1","last_page":"28"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9995999932289124,"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":0.9995999932289124,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9965999722480774,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9904000163078308,"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/mathematics","display_name":"Mathematics","score":0.7150442600250244},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6867414712905884},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6776223182678223},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.6166827082633972},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6123526692390442},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5943822860717773},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.59214848279953},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.4695829749107361},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.42432671785354614},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.42231640219688416},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4215569496154785},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4114436209201813},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.4109910726547241},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3951945900917053},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34490767121315},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.21715915203094482},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.12340375781059265}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7150442600250244},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6867414712905884},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6776223182678223},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.6166827082633972},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6123526692390442},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5943822860717773},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.59214848279953},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.4695829749107361},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.42432671785354614},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.42231640219688416},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4215569496154785},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4114436209201813},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.4109910726547241},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3951945900917053},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34490767121315},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.21715915203094482},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.12340375781059265},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-023-01691-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-023-01691-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":[{"score":0.6399999856948853,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1741043573","display_name":null,"funder_award_id":"67985840","funder_id":"https://openalex.org/F4320322482","funder_display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G3952200227","display_name":null,"funder_award_id":"23-06159S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320322482","display_name":"Akademie V\u011bd \u010cesk\u00e9 Republiky","ror":"https://ror.org/053avzc18"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W72753083","https://openalex.org/W1976358116","https://openalex.org/W1981196578","https://openalex.org/W1982059058","https://openalex.org/W1983886273","https://openalex.org/W1998217139","https://openalex.org/W2008296506","https://openalex.org/W2023891589","https://openalex.org/W2033180095","https://openalex.org/W2035080386","https://openalex.org/W2047714674","https://openalex.org/W2048566309","https://openalex.org/W2059066856","https://openalex.org/W2061994019","https://openalex.org/W2066051422","https://openalex.org/W2068957749","https://openalex.org/W2075351838","https://openalex.org/W2080114591","https://openalex.org/W2085955208","https://openalex.org/W2097897435","https://openalex.org/W2313084557","https://openalex.org/W2316564661","https://openalex.org/W2330913512","https://openalex.org/W2911643836","https://openalex.org/W2911731637","https://openalex.org/W2973160261","https://openalex.org/W3048630042","https://openalex.org/W3143592181","https://openalex.org/W4248478717","https://openalex.org/W4290828441","https://openalex.org/W4388455363"],"related_works":["https://openalex.org/W2284994597","https://openalex.org/W2035892225","https://openalex.org/W4378945386","https://openalex.org/W2129625121","https://openalex.org/W1976157534","https://openalex.org/W4288596192","https://openalex.org/W4205386174","https://openalex.org/W1848849174","https://openalex.org/W2953323282","https://openalex.org/W2978021564"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-01-24T23:23:39.755997","created_date":"2025-10-10T00:00:00"}
