{"id":"https://openalex.org/W1556040198","doi":"https://doi.org/10.1007/bfb0057927","title":"On the influence of the orthogonalization scheme on the parallel performance of GMRES","display_name":"On the influence of the orthogonalization scheme on the parallel performance of GMRES","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W1556040198","doi":"https://doi.org/10.1007/bfb0057927","mag":"1556040198"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0057927","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bfb0057927","pdf_url":"https://link.springer.com/content/pdf/10.1007/BFb0057927.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/BFb0057927.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073044597","display_name":"Val\u00e9rie Frayss\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I4210106946","display_name":"Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique","ror":"https://ror.org/02dzbc556","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210106946"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Val\u00e9rie Frayss\u00e9","raw_affiliation_strings":["CERFACS, 42 av. Gaspard Coriolis, 31057, Toulouse Cedex 1, France","CERFACS, Toulouse Cedex 1, France"],"affiliations":[{"raw_affiliation_string":"CERFACS, 42 av. Gaspard Coriolis, 31057, Toulouse Cedex 1, France","institution_ids":["https://openalex.org/I4210106946"]},{"raw_affiliation_string":"CERFACS, Toulouse Cedex 1, France","institution_ids":["https://openalex.org/I4210106946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060047917","display_name":"Luc Giraud","orcid":"https://orcid.org/0000-0002-7062-7672"},"institutions":[{"id":"https://openalex.org/I4210106946","display_name":"Centre Europ\u00e9en de Recherche et de Formation Avanc\u00e9e en Calcul Scientifique","ror":"https://ror.org/02dzbc556","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210106946"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Luc Giraud","raw_affiliation_strings":["CERFACS, 42 av. Gaspard Coriolis, 31057, Toulouse Cedex 1, France","CERFACS, Toulouse Cedex 1, France"],"affiliations":[{"raw_affiliation_string":"CERFACS, 42 av. Gaspard Coriolis, 31057, Toulouse Cedex 1, France","institution_ids":["https://openalex.org/I4210106946"]},{"raw_affiliation_string":"CERFACS, Toulouse Cedex 1, France","institution_ids":["https://openalex.org/I4210106946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085446887","display_name":"Hatim Kharraz-Aroussi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hatim Kharraz-Aroussi","raw_affiliation_strings":["ENSIAS, BP713, Agdal, Rabat, Morocco","ENSIAS, Agdal, Rabat, Morocco"],"affiliations":[{"raw_affiliation_string":"ENSIAS, BP713, Agdal, Rabat, Morocco","institution_ids":[]},{"raw_affiliation_string":"ENSIAS, Agdal, Rabat, Morocco","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073044597"],"corresponding_institution_ids":["https://openalex.org/I4210106946"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.0103,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.73955589,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"751","last_page":"762"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9850999712944031,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9825000166893005,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.9472147822380066},{"id":"https://openalex.org/keywords/orthogonalization","display_name":"Orthogonalization","score":0.7772253751754761},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7735631465911865},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.645485520362854},{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.5953363180160522},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5826816558837891},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.5744544267654419},{"id":"https://openalex.org/keywords/distributed-memory","display_name":"Distributed memory","score":0.4949190020561218},{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.48939934372901917},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.46321970224380493},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.45209696888923645},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.44434529542922974},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.4250558018684387},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.41816964745521545},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40312299132347107},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19854405522346497},{"id":"https://openalex.org/keywords/shared-memory","display_name":"Shared memory","score":0.183467298746109},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.09546124935150146},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08140107989311218}],"concepts":[{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.9472147822380066},{"id":"https://openalex.org/C47559304","wikidata":"https://www.wikidata.org/wiki/Q1702189","display_name":"Orthogonalization","level":2,"score":0.7772253751754761},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7735631465911865},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.645485520362854},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.5953363180160522},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5826816558837891},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.5744544267654419},{"id":"https://openalex.org/C91481028","wikidata":"https://www.wikidata.org/wiki/Q1054686","display_name":"Distributed memory","level":3,"score":0.4949190020561218},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.48939934372901917},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.46321970224380493},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.45209696888923645},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.44434529542922974},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.4250558018684387},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.41816964745521545},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40312299132347107},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19854405522346497},{"id":"https://openalex.org/C133875982","wikidata":"https://www.wikidata.org/wiki/Q764810","display_name":"Shared memory","level":2,"score":0.183467298746109},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.09546124935150146},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08140107989311218},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bfb0057927","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bfb0057927","pdf_url":"https://link.springer.com/content/pdf/10.1007/BFb0057927.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.34.1376","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.1376","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cerfacs.fr/algor/reports/1998/TR_PA_98_07.ps.gz","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/bfb0057927","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bfb0057927","pdf_url":"https://link.springer.com/content/pdf/10.1007/BFb0057927.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1556040198.pdf","grobid_xml":"https://content.openalex.org/works/W1556040198.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1542243431","https://openalex.org/W1565837554","https://openalex.org/W2000690703","https://openalex.org/W2037785139","https://openalex.org/W2052087587","https://openalex.org/W2056397254","https://openalex.org/W2076926241","https://openalex.org/W2077404360","https://openalex.org/W2140153041","https://openalex.org/W4285019923"],"related_works":["https://openalex.org/W1508132973","https://openalex.org/W2000690703","https://openalex.org/W2042846224","https://openalex.org/W2942315554","https://openalex.org/W2358905935","https://openalex.org/W2804461272","https://openalex.org/W2040391781","https://openalex.org/W2484832770","https://openalex.org/W2002097440","https://openalex.org/W3152060313"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
