{"id":"https://openalex.org/W2433801021","doi":"https://doi.org/10.1090/mcom/3081","title":"Projection methods for large-scale T-Sylvester equations","display_name":"Projection methods for large-scale T-Sylvester equations","publication_year":2015,"publication_date":"2015-06-03","ids":{"openalex":"https://openalex.org/W2433801021","doi":"https://doi.org/10.1090/mcom/3081","mag":"2433801021"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3081","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3081","pdf_url":"https://www.ams.org/mcom/2016-85-301/S0025-5718-2016-03081-1/S0025-5718-2016-03081-1.pdf","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":"bronze","oa_url":"https://www.ams.org/mcom/2016-85-301/S0025-5718-2016-03081-1/S0025-5718-2016-03081-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076369577","display_name":"Froil\u00e1n M. Dopico","orcid":"https://orcid.org/0000-0001-7779-8960"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Froil\u00e1n Dopico","raw_affiliation_strings":["Departamento de Matem\u00c3\u00a1ticas, Universidad Carlos III de Madrid, Avda. Universidad 30, 28911 Legan\u00c3\u00a9s, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00c3\u00a1ticas, Universidad Carlos III de Madrid, Avda. Universidad 30, 28911 Legan\u00c3\u00a9s, Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110652380","display_name":"Javier Gonz\u00e1lez","orcid":null},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Javier Gonz\u00e1lez","raw_affiliation_strings":["Departamento de Matem\u00c3\u00a1ticas, Universidad Carlos III de Madrid, Avda. Universidad 30, 28911 Legan\u00c3\u00a9s, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00c3\u00a1ticas, Universidad Carlos III de Madrid, Avda. Universidad 30, 28911 Legan\u00c3\u00a9s, Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084601962","display_name":"Daniel Kre\u00dfner","orcid":"https://orcid.org/0000-0003-3369-2958"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Daniel Kressner","raw_affiliation_strings":["ANCHP, MATHICSE, EPF Lausanne, Station 8, 1015 Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ANCHP, MATHICSE, EPF Lausanne, Station 8, 1015 Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"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, Universit\u00c3\u00a0 di Bologna, Piazza di Porta San Donato 5, I-40127 Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00c3\u00a0 di Bologna, Piazza di Porta San Donato 5, I-40127 Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3372,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83414485,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"85","issue":"301","first_page":"2427","last_page":"2455"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9972000122070312,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9970999956130981,"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/sylvester-equation","display_name":"Sylvester equation","score":0.9380462169647217},{"id":"https://openalex.org/keywords/sylvester-matrix","display_name":"Sylvester matrix","score":0.7754640579223633},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7719649076461792},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.535872220993042},{"id":"https://openalex.org/keywords/sylvesters-law-of-inertia","display_name":"Sylvester's law of inertia","score":0.49027469754219055},{"id":"https://openalex.org/keywords/numerical-linear-algebra","display_name":"Numerical linear algebra","score":0.47105881571769714},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4682976305484772},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44656258821487427},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40913480520248413},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37550675868988037},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.37502896785736084},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2808023691177368},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2164383828639984},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20820501446723938},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.18723133206367493}],"concepts":[{"id":"https://openalex.org/C100468782","wikidata":"https://www.wikidata.org/wiki/Q3730848","display_name":"Sylvester equation","level":3,"score":0.9380462169647217},{"id":"https://openalex.org/C20160815","wikidata":"https://www.wikidata.org/wiki/Q1482452","display_name":"Sylvester matrix","level":5,"score":0.7754640579223633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7719649076461792},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.535872220993042},{"id":"https://openalex.org/C56828936","wikidata":"https://www.wikidata.org/wiki/Q1752621","display_name":"Sylvester's law of inertia","level":4,"score":0.49027469754219055},{"id":"https://openalex.org/C163834973","wikidata":"https://www.wikidata.org/wiki/Q2004891","display_name":"Numerical linear algebra","level":3,"score":0.47105881571769714},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4682976305484772},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44656258821487427},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40913480520248413},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37550675868988037},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.37502896785736084},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2808023691177368},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2164383828639984},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20820501446723938},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.18723133206367493},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"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/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1090/mcom/3081","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3081","pdf_url":"https://www.ams.org/mcom/2016-85-301/S0025-5718-2016-03081-1/S0025-5718-2016-03081-1.pdf","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:e-archivo.uc3m.es:10016/22092","is_oa":true,"landing_page_url":"http://hdl.handle.net/10016/22092","pdf_url":null,"source":{"id":"https://openalex.org/S4306400817","display_name":"e-Archivo (Carlos III University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I50357001","host_organization_name":"Universidad Carlos III de Madrid","host_organization_lineage":["https://openalex.org/I50357001"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:cris.unibo.it:11585/586010","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/586010","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:infoscience.epfl.ch:222176","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/222176","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:222176","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/130294","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"research article"}],"best_oa_location":{"id":"doi:10.1090/mcom/3081","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3081","pdf_url":"https://www.ams.org/mcom/2016-85-301/S0025-5718-2016-03081-1/S0025-5718-2016-03081-1.pdf","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G992667745","display_name":null,"funder_award_id":"MTM2012-32542","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"}],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2433801021.pdf","grobid_xml":"https://content.openalex.org/works/W2433801021.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W845130065","https://openalex.org/W1268949545","https://openalex.org/W1485989924","https://openalex.org/W1488435683","https://openalex.org/W1492579554","https://openalex.org/W1506342804","https://openalex.org/W1519346647","https://openalex.org/W1551480811","https://openalex.org/W1563653928","https://openalex.org/W1580973103","https://openalex.org/W1877848529","https://openalex.org/W1964400575","https://openalex.org/W1971069572","https://openalex.org/W1976335834","https://openalex.org/W1978115611","https://openalex.org/W1979604505","https://openalex.org/W1986448409","https://openalex.org/W2000736912","https://openalex.org/W2008920031","https://openalex.org/W2011373375","https://openalex.org/W2011835820","https://openalex.org/W2020804487","https://openalex.org/W2024384195","https://openalex.org/W2031689380","https://openalex.org/W2031995972","https://openalex.org/W2033029203","https://openalex.org/W2034274983","https://openalex.org/W2036191408","https://openalex.org/W2037387478","https://openalex.org/W2051987861","https://openalex.org/W2068782821","https://openalex.org/W2093478721","https://openalex.org/W2104744926","https://openalex.org/W2123520000","https://openalex.org/W2129882388","https://openalex.org/W2136556155","https://openalex.org/W2145596920","https://openalex.org/W2315933149","https://openalex.org/W2324226464","https://openalex.org/W2480611454","https://openalex.org/W2480854438","https://openalex.org/W2487895241","https://openalex.org/W2548684088","https://openalex.org/W2610857016","https://openalex.org/W2798909945","https://openalex.org/W4296157160","https://openalex.org/W6680183271"],"related_works":["https://openalex.org/W2087190655","https://openalex.org/W1597114477","https://openalex.org/W1993763611","https://openalex.org/W1973485705","https://openalex.org/W144747989","https://openalex.org/W3141082938","https://openalex.org/W2036701498","https://openalex.org/W2073638342","https://openalex.org/W4292477005","https://openalex.org/W2433801021"],"abstract_inverted_index":{"The":[0,25,94],"matrix":[1],"Sylvester":[2],"equation":[3,89],"for":[4,46,55,78],"congruence,":[5],"or":[6],"T-Sylvester":[7,28,58,88],"equation,":[8],"has":[9],"recently":[10],"attracted":[11],"considerable":[12],"attention":[13],"as":[14],"a":[15,91],"consequence":[16],"of":[17,86],"its":[18],"close":[19],"relation":[20],"to":[21,48],"palindromic":[22],"eigenvalue":[23],"problems.":[24],"theory":[26],"concerning":[27],"equations":[29,45,59],"is":[30,90,120],"rather":[31],"well":[32,111],"understood,":[33],"and":[34,38,101],"there":[35],"are":[36],"stable":[37],"efficient":[39],"numerical":[40,53,104],"algorithms":[41,54,72,96],"which":[42,118],"solve":[43],"these":[44],"small-":[47],"medium-sized":[49],"matrices.":[50],"However,":[51],"developing":[52],"solving":[56,79],"large-scale":[57],"still":[60],"remains":[61],"an":[62],"open":[63],"problem.":[64],"In":[65],"this":[66,80],"paper,":[67],"we":[68],"present":[69],"several":[70],"projection":[71],"based":[73],"on":[74,117],"different":[75],"Krylov":[76],"spaces":[77],"problem":[81],"when":[82],"the":[83,87,102,121],"right-hand":[84],"side":[85],"low-rank":[92],"matrix.":[93],"new":[95],"have":[97],"been":[98],"extensively":[99],"tested,":[100],"reported":[103],"results":[105],"show":[106],"that":[107],"they":[108],"work":[109],"very":[110],"in":[112,124],"practice,":[113],"offering":[114],"clear":[115],"guidance":[116],"algorithm":[119],"most":[122],"convenient":[123],"each":[125],"situation.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2016-06-24T00:00:00"}
