{"id":"https://openalex.org/W4400450784","doi":"https://doi.org/10.1090/mcom/4002","title":"Sketched and truncated polynomial Krylov subspace methods: Matrix Sylvester equations","display_name":"Sketched and truncated polynomial Krylov subspace methods: Matrix Sylvester equations","publication_year":2024,"publication_date":"2024-07-09","ids":{"openalex":"https://openalex.org/W4400450784","doi":"https://doi.org/10.1090/mcom/4002"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/4002","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4002","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2024-04002-4/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014648561","display_name":"Davide Palitta","orcid":"https://orcid.org/0000-0002-6987-4430"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Davide Palitta","raw_affiliation_strings":["Dipartimento di Matematica, (AM)$^{2}$, Alma Mater Studiorum - Universit\u00c0 di Bologna, 40126 Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, (AM)$^{2}$, Alma Mater Studiorum - Universit\u00c0 di Bologna, 40126 Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029761211","display_name":"Marcel Schweitzer","orcid":"https://orcid.org/0000-0002-4937-2855"},"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":"Marcel 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/A5081841768","display_name":"Valeria Simoncini","orcid":"https://orcid.org/0000-0003-0795-5865"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Valeria Simoncini","raw_affiliation_strings":["Dipartimento di Matematica, (AM)$^{2}$, Alma Mater Studiorum - Universit\u00c0 di Bologna, 40126 Bologna, and IMATI-CNR, Pavia, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, (AM)$^{2}$, Alma Mater Studiorum - Universit\u00c0 di Bologna, 40126 Bologna, and IMATI-CNR, Pavia, Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014648561"],"corresponding_institution_ids":["https://openalex.org/I9360294"],"apc_list":null,"apc_paid":null,"fwci":1.3797,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.82686512,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"94","issue":"354","first_page":"1761","last_page":"1792"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8050000071525574,"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":0.8050000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.8706192970275879},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.7116954922676086},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5585640072822571},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5480827689170837},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5360633730888367},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5125362873077393},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2630971074104309},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.09068992733955383},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.08729231357574463}],"concepts":[{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.8706192970275879},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.7116954922676086},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5585640072822571},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5480827689170837},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5360633730888367},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5125362873077393},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2630971074104309},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.09068992733955383},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.08729231357574463},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/mcom/4002","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/4002","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:cris.unibo.it:11585/997350","is_oa":true,"landing_page_url":"https://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2024-04002-4/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:cris.unibo.it:11585/997350","is_oa":true,"landing_page_url":"https://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2024-04002-4/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W101236918","https://openalex.org/W845130065","https://openalex.org/W1210565257","https://openalex.org/W1506342804","https://openalex.org/W1551480811","https://openalex.org/W1563860769","https://openalex.org/W1591076264","https://openalex.org/W1975299137","https://openalex.org/W2000623902","https://openalex.org/W2024384195","https://openalex.org/W2034274983","https://openalex.org/W2036191408","https://openalex.org/W2045390367","https://openalex.org/W2061025600","https://openalex.org/W2079566721","https://openalex.org/W2086590360","https://openalex.org/W2088748973","https://openalex.org/W2097634708","https://openalex.org/W2100057277","https://openalex.org/W2107599050","https://openalex.org/W2109221784","https://openalex.org/W2136556155","https://openalex.org/W2147927736","https://openalex.org/W2155216327","https://openalex.org/W2169195255","https://openalex.org/W2169328438","https://openalex.org/W2187141704","https://openalex.org/W2282321402","https://openalex.org/W2316564661","https://openalex.org/W2480611454","https://openalex.org/W2792702316","https://openalex.org/W2962856060","https://openalex.org/W2963214590","https://openalex.org/W2963455674","https://openalex.org/W2963627806","https://openalex.org/W2970193614","https://openalex.org/W2994994990","https://openalex.org/W3005404412","https://openalex.org/W3027642002","https://openalex.org/W3095073546","https://openalex.org/W3099348172","https://openalex.org/W3102968907","https://openalex.org/W3104590783","https://openalex.org/W3108353645","https://openalex.org/W3112410551","https://openalex.org/W3160054228","https://openalex.org/W3164777008","https://openalex.org/W4230094094","https://openalex.org/W4385235573","https://openalex.org/W4391691887","https://openalex.org/W4399855006","https://openalex.org/W4400450784","https://openalex.org/W4401782813","https://openalex.org/W4404902891","https://openalex.org/W6623660701"],"related_works":["https://openalex.org/W4301683480","https://openalex.org/W1993483669","https://openalex.org/W2056024401","https://openalex.org/W2185271276","https://openalex.org/W2069740856","https://openalex.org/W2032132555","https://openalex.org/W2149734642","https://openalex.org/W4311251537","https://openalex.org/W3216258873","https://openalex.org/W2185931218"],"abstract_inverted_index":{"Thanks":[0],"to":[1,54,120],"its":[2],"great":[3],"potential":[4,126],"in":[5,25,45,131],"reducing":[6],"both":[7,134],"computational":[8,83,135],"cost":[9],"and":[10,15,38,72,94,137],"memory":[11],"requirements,":[12],"combining":[13],"sketching":[14,80],"Krylov":[16,112,154],"subspace":[17,113],"techniques":[18],"has":[19],"attracted":[20],"a":[21,60,89,108,147],"lot":[22],"of":[23,48,68,88,95,127,133],"attention":[24],"the":[26,46,69,79,86,100],"recent":[27],"literature":[28],"on":[29,78,152],"projection":[30,149],"methods":[31],"for":[32,99,115],"linear":[33,49],"systems,":[34],"matrix":[35,50],"function":[36],"approximations,":[37],"eigenvalue":[39],"problems.":[40],"Applying":[41],"this":[42,104],"appealing":[43],"strategy":[44],"context":[47],"equations":[51,117],"turns":[52],"out":[53],"be":[55],"far":[56],"more":[57],"involved":[58],"than":[59],"straightforward":[61],"generalization.":[62],"These":[63],"difficulties":[64],"include":[65,85],"analyzing":[66],"well-posedness":[67],"projected":[70],"problem":[71],"deriving":[73],"possible":[74],"error":[75],"estimates":[76],"depending":[77],"properties.":[81],"Further":[82],"complications":[84],"lack":[87],"natural":[90],"residual":[91],"norm":[92],"estimate":[93],"an":[96],"explicit":[97],"basis":[98],"generated":[101],"subspace.":[102],"In":[103],"paper":[105],"we":[106],"propose":[107],"new":[109],"sketched-and-truncated":[110],"polynomial":[111],"method":[114],"Sylvester":[116],"that":[118],"aims":[119],"address":[121],"all":[122],"these":[123],"issues.":[124],"The":[125],"our":[128],"novel":[129],"approach,":[130],"terms":[132],"time":[136],"storage":[138],"demand,":[139],"is":[140],"illustrated":[141],"with":[142,146],"numerical":[143],"experiments.":[144],"Comparisons":[145],"state-of-the-art":[148],"scheme":[150],"based":[151],"rational":[153],"subspaces":[155],"are":[156],"also":[157],"included.":[158]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3}],"updated_date":"2026-04-23T06:14:38.165362","created_date":"2024-07-10T00:00:00"}