{"id":"https://openalex.org/W4377087934","doi":"https://doi.org/10.1137/22m1499674","title":"Krylov Subspace Restarting for Matrix Laplace Transforms","display_name":"Krylov Subspace Restarting for Matrix Laplace Transforms","publication_year":2023,"publication_date":"2023-05-19","ids":{"openalex":"https://openalex.org/W4377087934","doi":"https://doi.org/10.1137/22m1499674"},"language":"en","primary_location":{"id":"doi:10.1137/22m1499674","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1499674","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","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/A5072635213","display_name":"Andreas Frommer","orcid":"https://orcid.org/0000-0002-6901-0114"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"A. Frommer","raw_affiliation_strings":["School of Mathematics and Natural Sciences, Bergische Universit\u00e4t Wuppertal, 42097 Wuppertal, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Natural Sciences, Bergische Universit\u00e4t Wuppertal, 42097 Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088264517","display_name":"Karsten Kahl","orcid":"https://orcid.org/0000-0002-3510-3320"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"K. Kahl","raw_affiliation_strings":["School of Mathematics and Natural Sciences, Bergische Universit\u00e4t Wuppertal, 42097 Wuppertal, Germany"],"raw_orcid":"https://orcid.org/0000-0002-3510-3320","affiliations":[{"raw_affiliation_string":"School of Mathematics and Natural Sciences, Bergische Universit\u00e4t Wuppertal, 42097 Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079350674","display_name":"Marc Alexander Schweitzer","orcid":"https://orcid.org/0009-0007-7773-5186"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Schweitzer","raw_affiliation_strings":["School of Mathematics and Natural Sciences, Bergische Universit\u00e4t Wuppertal, 42097 Wuppertal, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Natural Sciences, Bergische Universit\u00e4t Wuppertal, 42097 Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020229372","display_name":"Manuel Tsolakis","orcid":"https://orcid.org/0000-0003-3106-9564"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Tsolakis","raw_affiliation_strings":["School of Mathematics and Natural Sciences, Bergische Universit\u00e4t Wuppertal, 42097 Wuppertal, Germany"],"raw_orcid":"https://orcid.org/0000-0003-3106-9564","affiliations":[{"raw_affiliation_string":"School of Mathematics and Natural Sciences, Bergische Universit\u00e4t Wuppertal, 42097 Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5072635213"],"corresponding_institution_ids":["https://openalex.org/I167360494"],"apc_list":null,"apc_paid":null,"fwci":0.388,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.62868428,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"44","issue":"2","first_page":"693","last_page":"717"},"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9973999857902527,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9968000054359436,"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/mathematics","display_name":"Mathematics","score":0.7733407616615295},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.7356915473937988},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.6964605450630188},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.6917613744735718},{"id":"https://openalex.org/keywords/laplace\u2013stieltjes-transform","display_name":"Laplace\u2013Stieltjes transform","score":0.5929052829742432},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5701481103897095},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5523765087127686},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5300189256668091},{"id":"https://openalex.org/keywords/inverse-laplace-transform","display_name":"Inverse Laplace transform","score":0.4928600788116455},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4689098596572876},{"id":"https://openalex.org/keywords/matrix-function","display_name":"Matrix function","score":0.4579677879810333},{"id":"https://openalex.org/keywords/function-representation","display_name":"Function representation","score":0.4199613034725189},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41731858253479004},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3791462481021881},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.31867313385009766},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2489376664161682},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.23633530735969543},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.1499592661857605},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.13024508953094482}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7733407616615295},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.7356915473937988},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.6964605450630188},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6917613744735718},{"id":"https://openalex.org/C141255357","wikidata":"https://www.wikidata.org/wiki/Q3997728","display_name":"Laplace\u2013Stieltjes transform","level":5,"score":0.5929052829742432},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5701481103897095},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5523765087127686},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5300189256668091},{"id":"https://openalex.org/C60455284","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Inverse Laplace transform","level":3,"score":0.4928600788116455},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4689098596572876},{"id":"https://openalex.org/C4263655","wikidata":"https://www.wikidata.org/wiki/Q2699958","display_name":"Matrix function","level":4,"score":0.4579677879810333},{"id":"https://openalex.org/C167528306","wikidata":"https://www.wikidata.org/wiki/Q5508776","display_name":"Function representation","level":3,"score":0.4199613034725189},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41731858253479004},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3791462481021881},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.31867313385009766},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2489376664161682},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.23633530735969543},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.1499592661857605},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.13024508953094482},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"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/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1499674","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1499674","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","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/W101236918","https://openalex.org/W1529576280","https://openalex.org/W1540455107","https://openalex.org/W1594563152","https://openalex.org/W1975299137","https://openalex.org/W1978219552","https://openalex.org/W1997454815","https://openalex.org/W2006787795","https://openalex.org/W2010196418","https://openalex.org/W2016982898","https://openalex.org/W2022615414","https://openalex.org/W2024448661","https://openalex.org/W2028212620","https://openalex.org/W2035080386","https://openalex.org/W2038377417","https://openalex.org/W2044815321","https://openalex.org/W2057602562","https://openalex.org/W2061252266","https://openalex.org/W2064172728","https://openalex.org/W2075247318","https://openalex.org/W2082463306","https://openalex.org/W2085167268","https://openalex.org/W2091835635","https://openalex.org/W2117686912","https://openalex.org/W2137056077","https://openalex.org/W2150150879","https://openalex.org/W2156707583","https://openalex.org/W2162870748","https://openalex.org/W2316564661","https://openalex.org/W2464773345","https://openalex.org/W2732088868","https://openalex.org/W2810840768","https://openalex.org/W2954687791","https://openalex.org/W2962865735","https://openalex.org/W3021889119","https://openalex.org/W3046999664","https://openalex.org/W3086898416","https://openalex.org/W3120043998","https://openalex.org/W3185035783","https://openalex.org/W3209207841","https://openalex.org/W4211077197","https://openalex.org/W4230094094","https://openalex.org/W4236893814"],"related_works":["https://openalex.org/W3022275705","https://openalex.org/W1996624184","https://openalex.org/W2504967562","https://openalex.org/W2328813089","https://openalex.org/W2997260785","https://openalex.org/W3116142293","https://openalex.org/W4239388564","https://openalex.org/W2368976260","https://openalex.org/W3148077626","https://openalex.org/W2006787795"],"abstract_inverted_index":{"A":[0],"common":[1],"way":[2],"to":[3,14,24,36,51],"approximate":[4],"\u2014the":[5],"action":[6],"of":[7,54,61,64,99],"a":[8,12,20,58,74],"matrix":[9],"function":[10,70],"on":[11,38,78],"vector\u2014is":[13],"use":[15],"the":[16,62,65,69,97,115],"Arnoldi":[17,66],"approximation.":[18],"Since":[19],"new":[21,59],"vector":[22],"needs":[23],"be":[25],"generated":[26],"and":[27,85],"stored":[28],"in":[29],"every":[30],"iteration,":[31],"one":[32],"is":[33,71],"often":[34],"forced":[35],"rely":[37],"restart":[39,87,116],"algorithms":[40],"which":[41,102],"are":[42,103],"either":[43],"not":[44,46],"efficient,":[45],"stable,":[47],"or":[48],"applicable":[49],"only":[50],"restricted":[52],"classes":[53],"functions.":[55,120],"We":[56,107],"present":[57],"representation":[60,80],"error":[63],"iterates":[67],"if":[68],"given":[72],"as":[73],"Laplace":[75,105],"transform.":[76],"Based":[77],"this":[79],"we":[81,92],"build":[82],"an":[83],"efficient":[84],"stable":[86],"algorithm.":[88],"In":[89],"doing":[90],"so":[91],"extend":[93],"earlier":[94],"work":[95],"for":[96,118],"class":[98],"Stieltjes":[100,119],"functions":[101],"special":[104],"transforms.":[106],"report":[108],"several":[109],"numerical":[110],"experiments":[111],"including":[112],"comparisons":[113],"with":[114],"method":[117]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}