{"id":"https://openalex.org/W3209207841","doi":"https://doi.org/10.1137/20m1375383","title":"Residual and Restarting in Krylov Subspace Evaluation of the $\\varphi$ Function","display_name":"Residual and Restarting in Krylov Subspace Evaluation of the $\\varphi$ Function","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3209207841","doi":"https://doi.org/10.1137/20m1375383","mag":"3209207841"},"language":"en","primary_location":{"id":"doi:10.1137/20m1375383","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1375383","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","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/A5109582595","display_name":"Mike A. Botchev","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mike A. Botchev","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031659683","display_name":"Leonid Knizhnerman","orcid":"https://orcid.org/0000-0002-8622-1503"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leonid Knizhnerman","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8622-1503","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5106185367","display_name":"Eugene E. Tyrtyshnikov","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Eugene E. Tyrtyshnikov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6744,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.86621688,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"43","issue":"6","first_page":"A3733","last_page":"A3759"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9990000128746033,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9970999956130981,"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/krylov-subspace","display_name":"Krylov subspace","score":0.9222012758255005},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7171151638031006},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6893564462661743},{"id":"https://openalex.org/keywords/matrix-exponential","display_name":"Matrix exponential","score":0.6363306045532227},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.6298417448997498},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.6247356534004211},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5663844347000122},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.5660628080368042},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5091568827629089},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.475369393825531},{"id":"https://openalex.org/keywords/matrix-function","display_name":"Matrix function","score":0.4427527189254761},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3261873722076416},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3259543478488922},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31133463978767395},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26198074221611023},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23236438632011414},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.20532745122909546},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.11408108472824097},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.10231193900108337},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.10169681906700134}],"concepts":[{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.9222012758255005},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7171151638031006},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6893564462661743},{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.6363306045532227},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.6298417448997498},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.6247356534004211},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5663844347000122},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.5660628080368042},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5091568827629089},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.475369393825531},{"id":"https://openalex.org/C4263655","wikidata":"https://www.wikidata.org/wiki/Q2699958","display_name":"Matrix function","level":4,"score":0.4427527189254761},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3261873722076416},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3259543478488922},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31133463978767395},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26198074221611023},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23236438632011414},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.20532745122909546},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.11408108472824097},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.10231193900108337},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.10169681906700134},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/20m1375383","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1375383","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2860572879","display_name":null,"funder_award_id":"19-11-00338","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"},{"id":"https://openalex.org/G4172326853","display_name":null,"funder_award_id":"075-15-2019-1624","funder_id":"https://openalex.org/F4320321912","funder_display_name":"Ministry of Education and Science of the Russian Federation"}],"funders":[{"id":"https://openalex.org/F4320321912","display_name":"Ministry of Education and Science of the Russian Federation","ror":"https://ror.org/00ghqgy32"},{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1557729012","https://openalex.org/W1963635807","https://openalex.org/W1975299137","https://openalex.org/W1978219552","https://openalex.org/W1984347942","https://openalex.org/W1988817497","https://openalex.org/W1990647940","https://openalex.org/W1997633759","https://openalex.org/W2000623902","https://openalex.org/W2005061077","https://openalex.org/W2010196418","https://openalex.org/W2010652522","https://openalex.org/W2016982898","https://openalex.org/W2017710275","https://openalex.org/W2018931076","https://openalex.org/W2020017746","https://openalex.org/W2028212620","https://openalex.org/W2029844436","https://openalex.org/W2032826169","https://openalex.org/W2037201748","https://openalex.org/W2044543226","https://openalex.org/W2047450102","https://openalex.org/W2047838742","https://openalex.org/W2057602562","https://openalex.org/W2077852010","https://openalex.org/W2082463306","https://openalex.org/W2083224105","https://openalex.org/W2099296901","https://openalex.org/W2104756076","https://openalex.org/W2106565812","https://openalex.org/W2118138003","https://openalex.org/W2126042051","https://openalex.org/W2130727150","https://openalex.org/W2137056077","https://openalex.org/W2142597043","https://openalex.org/W2148919391","https://openalex.org/W2150150879","https://openalex.org/W2155216327","https://openalex.org/W2166246787","https://openalex.org/W2170372197","https://openalex.org/W2172117522","https://openalex.org/W2258213099","https://openalex.org/W2325541087","https://openalex.org/W2406055464","https://openalex.org/W2728194590","https://openalex.org/W2798028937","https://openalex.org/W2954687791","https://openalex.org/W2969690296","https://openalex.org/W2989924627","https://openalex.org/W4211077197"],"related_works":["https://openalex.org/W2042846224","https://openalex.org/W2358905935","https://openalex.org/W2942315554","https://openalex.org/W2804461272","https://openalex.org/W2040391781","https://openalex.org/W2798077753","https://openalex.org/W2117799929","https://openalex.org/W2529950123","https://openalex.org/W2800691151","https://openalex.org/W2018931076"],"abstract_inverted_index":{"Related":[0],"DatabasesWeb":[1],"of":[2],"Science":[3],"You":[4],"must":[5],"be":[6],"logged":[7],"in":[8],"with":[9],"an":[10],"active":[11],"subscription":[12],"to":[13],"view":[14],"this.Article":[15],"DataHistorySubmitted:":[16],"23":[17],"October":[18],"2020Accepted:":[19],"17":[20],"August":[21],"2021Published":[22],"online:":[23],"04":[24],"November":[25],"2021Keywordsphi":[26],"matrix":[27,35],"function,":[28],"Krylov":[29],"subspace":[30],"methods,":[31],"exponential":[32,38],"time":[33],"integration,":[34],"exponential,":[36],"restarting,":[37],"residualAMS":[39],"Subject":[40],"Headings65F60,":[41],"65M20,":[42],"65L05Publication":[43],"DataISSN":[44],"(print):":[45],"1064-8275ISSN":[46],"(online):":[47],"1095-7197Publisher:":[48],"Society":[49],"for":[50],"Industrial":[51],"and":[52],"Applied":[53],"MathematicsCODEN:":[54],"sjoce3":[55]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
