{"id":"https://openalex.org/W2968573015","doi":"https://doi.org/10.1007/s12190-019-01278-7","title":"Global extended Krylov subspace methods for large-scale differential Sylvester matrix equations","display_name":"Global extended Krylov subspace methods for large-scale differential Sylvester matrix equations","publication_year":2019,"publication_date":"2019-08-12","ids":{"openalex":"https://openalex.org/W2968573015","doi":"https://doi.org/10.1007/s12190-019-01278-7","mag":"2968573015"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-019-01278-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-019-01278-7","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and 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/A5043848258","display_name":"El Mostafa Sadek","orcid":"https://orcid.org/0000-0001-9898-3006"},"institutions":[{"id":"https://openalex.org/I4210125507","display_name":"Chouaib Doukkali University","ror":"https://ror.org/036kgyt43","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210125507"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"El. Mostafa Sadek","raw_affiliation_strings":["Laboratory of Engineering Sciences for Energy, National School of Applied Sciences of El Jadida, University Chouaib Doukkali, El Jadida, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Engineering Sciences for Energy, National School of Applied Sciences of El Jadida, University Chouaib Doukkali, El Jadida, Morocco","institution_ids":["https://openalex.org/I4210125507"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064361332","display_name":"Abdeslem Hafid Bentbib","orcid":"https://orcid.org/0000-0002-4578-4377"},"institutions":[{"id":"https://openalex.org/I119856527","display_name":"Cadi Ayyad University","ror":"https://ror.org/04xf6nm78","country_code":"MA","type":"education","lineage":["https://openalex.org/I119856527"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Abdeslem Hafid Bentbib","raw_affiliation_strings":["Facult\u00e9 des Sciences et Techniques-Gueliz, Laboratoire de Math\u00e9matiques Appliqu\u00e9es et Informatique, Marrakech, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences et Techniques-Gueliz, Laboratoire de Math\u00e9matiques Appliqu\u00e9es et Informatique, Marrakech, Morocco","institution_ids":["https://openalex.org/I119856527"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039639141","display_name":"Lakhlifa Sadek","orcid":"https://orcid.org/0000-0001-9780-2592"},"institutions":[{"id":"https://openalex.org/I4210125507","display_name":"Chouaib Doukkali University","ror":"https://ror.org/036kgyt43","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210125507"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Lakhlifa Sadek","raw_affiliation_strings":["Facult\u00e9 des Sciences, Universit\u00e9 Chouaib Doukkali, El Jadida, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences, Universit\u00e9 Chouaib Doukkali, El Jadida, Morocco","institution_ids":["https://openalex.org/I4210125507"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080801837","display_name":"Hamad Talibi Alaoui","orcid":"https://orcid.org/0000-0002-3972-2313"},"institutions":[{"id":"https://openalex.org/I4210125507","display_name":"Chouaib Doukkali University","ror":"https://ror.org/036kgyt43","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210125507"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Hamad Talibi Alaoui","raw_affiliation_strings":["Facult\u00e9 des Sciences, Universit\u00e9 Chouaib Doukkali, El Jadida, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences, Universit\u00e9 Chouaib Doukkali, El Jadida, Morocco","institution_ids":["https://openalex.org/I4210125507"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5039639141","https://openalex.org/A5043848258","https://openalex.org/A5064361332"],"corresponding_institution_ids":["https://openalex.org/I119856527","https://openalex.org/I4210125507"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.8194,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.86933669,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"62","issue":"1-2","first_page":"157","last_page":"177"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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":0.9933000206947327,"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/krylov-subspace","display_name":"Krylov subspace","score":0.8995624780654907},{"id":"https://openalex.org/keywords/sylvester-equation","display_name":"Sylvester equation","score":0.8219192028045654},{"id":"https://openalex.org/keywords/sylvester-matrix","display_name":"Sylvester matrix","score":0.7957686185836792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7677517533302307},{"id":"https://openalex.org/keywords/matrix-exponential","display_name":"Matrix exponential","score":0.7622584104537964},{"id":"https://openalex.org/keywords/sylvesters-law-of-inertia","display_name":"Sylvester's law of inertia","score":0.5825339555740356},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.5630311965942383},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5271396636962891},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49764302372932434},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49329179525375366},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.43362075090408325},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.42688125371932983},{"id":"https://openalex.org/keywords/arnoldi-iteration","display_name":"Arnoldi iteration","score":0.411632776260376},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.2574528455734253},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24950098991394043},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18959316611289978},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.1677851378917694},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.0846894383430481},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.08028766512870789},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.06866380572319031}],"concepts":[{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.8995624780654907},{"id":"https://openalex.org/C100468782","wikidata":"https://www.wikidata.org/wiki/Q3730848","display_name":"Sylvester equation","level":3,"score":0.8219192028045654},{"id":"https://openalex.org/C20160815","wikidata":"https://www.wikidata.org/wiki/Q1482452","display_name":"Sylvester matrix","level":5,"score":0.7957686185836792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7677517533302307},{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.7622584104537964},{"id":"https://openalex.org/C56828936","wikidata":"https://www.wikidata.org/wiki/Q1752621","display_name":"Sylvester's law of inertia","level":4,"score":0.5825339555740356},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.5630311965942383},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5271396636962891},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49764302372932434},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49329179525375366},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.43362075090408325},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42688125371932983},{"id":"https://openalex.org/C43143463","wikidata":"https://www.wikidata.org/wiki/Q696822","display_name":"Arnoldi iteration","level":4,"score":0.411632776260376},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2574528455734253},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24950098991394043},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18959316611289978},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.1677851378917694},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.0846894383430481},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.08028766512870789},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.06866380572319031},{"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-019-01278-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-019-01278-7","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","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":38,"referenced_works":["https://openalex.org/W640910350","https://openalex.org/W845130065","https://openalex.org/W1543750907","https://openalex.org/W1551784909","https://openalex.org/W1574158123","https://openalex.org/W1978115611","https://openalex.org/W1984347942","https://openalex.org/W2001876169","https://openalex.org/W2008567148","https://openalex.org/W2015671498","https://openalex.org/W2022615414","https://openalex.org/W2035080386","https://openalex.org/W2036605062","https://openalex.org/W2041118838","https://openalex.org/W2050996067","https://openalex.org/W2051770164","https://openalex.org/W2054689585","https://openalex.org/W2057602562","https://openalex.org/W2067136705","https://openalex.org/W2074235022","https://openalex.org/W2088748973","https://openalex.org/W2095363071","https://openalex.org/W2098168282","https://openalex.org/W2120516507","https://openalex.org/W2136556155","https://openalex.org/W2165220841","https://openalex.org/W2181446379","https://openalex.org/W2211685031","https://openalex.org/W2509524967","https://openalex.org/W2599569475","https://openalex.org/W2618150975","https://openalex.org/W2784111255","https://openalex.org/W2901478538","https://openalex.org/W2963168700","https://openalex.org/W2963641400","https://openalex.org/W4231011685","https://openalex.org/W4300666158","https://openalex.org/W4300831640"],"related_works":["https://openalex.org/W2087190655","https://openalex.org/W1993763611","https://openalex.org/W1973485705","https://openalex.org/W144747989","https://openalex.org/W1597114477","https://openalex.org/W4225655886","https://openalex.org/W2728265540","https://openalex.org/W2963641400","https://openalex.org/W2182399121","https://openalex.org/W2968573015"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}