{"id":"https://openalex.org/W2504412359","doi":"https://doi.org/10.1137/15m1042115","title":"Interpolation-Restart Strategies for Resilient Eigensolvers","display_name":"Interpolation-Restart Strategies for Resilient Eigensolvers","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2504412359","doi":"https://doi.org/10.1137/15m1042115","mag":"2504412359"},"language":"en","primary_location":{"id":"doi:10.1137/15m1042115","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1042115","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-01201748","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074132178","display_name":"Emmanuel Agullo","orcid":"https://orcid.org/0000-0003-0655-6934"},"institutions":[{"id":"https://openalex.org/I86122600","display_name":"Numerical Algorithms Group (United Kingdom)","ror":"https://ror.org/04pcnys31","country_code":"GB","type":"company","lineage":["https://openalex.org/I86122600"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"E. Agullo","raw_affiliation_strings":["High-End Parallel Algorithms for Challenging Numerical Simulations"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"High-End Parallel Algorithms for Challenging Numerical Simulations","institution_ids":["https://openalex.org/I86122600"]}]},{"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/I86122600","display_name":"Numerical Algorithms Group (United Kingdom)","ror":"https://ror.org/04pcnys31","country_code":"GB","type":"company","lineage":["https://openalex.org/I86122600"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"L. Giraud","raw_affiliation_strings":["High-End Parallel Algorithms for Challenging Numerical Simulations"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"High-End Parallel Algorithms for Challenging Numerical Simulations","institution_ids":["https://openalex.org/I86122600"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012566951","display_name":"Pablo Salas","orcid":"https://orcid.org/0000-0003-4046-2376"},"institutions":[{"id":"https://openalex.org/I135117807","display_name":"Universit\u00e9 de Sherbrooke","ror":"https://ror.org/00kybxq39","country_code":"CA","type":"education","lineage":["https://openalex.org/I135117807"]},{"id":"https://openalex.org/I4210115072","display_name":"Laboratoire de M\u00e9canique et G\u00e9nie Civil","ror":"https://ror.org/02fke9256","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I19894307","https://openalex.org/I4210095849","https://openalex.org/I4210115072"]}],"countries":["CA","FR"],"is_corresponding":false,"raw_author_name":"P. Salas","raw_affiliation_strings":["D\u00e9partement de g\u00e9nie m\u00e9canique [Sherbrooke]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement de g\u00e9nie m\u00e9canique [Sherbrooke]","institution_ids":["https://openalex.org/I4210115072","https://openalex.org/I135117807"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079445612","display_name":"Mawussi Zounon","orcid":"https://orcid.org/0000-0002-6955-1500"},"institutions":[{"id":"https://openalex.org/I86122600","display_name":"Numerical Algorithms Group (United Kingdom)","ror":"https://ror.org/04pcnys31","country_code":"GB","type":"company","lineage":["https://openalex.org/I86122600"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Zounon","raw_affiliation_strings":["High-End Parallel Algorithms for Challenging Numerical Simulations"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"High-End Parallel Algorithms for Challenging Numerical Simulations","institution_ids":["https://openalex.org/I86122600"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4418,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83963345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"38","issue":"5","first_page":"C560","last_page":"C583"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"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":0.9994000196456909,"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/T11809","display_name":"Advanced NMR Techniques and Applications","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9861000180244446,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/computer-science","display_name":"Computer science","score":0.7218567728996277},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.641889214515686},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5777396559715271},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5545689463615417},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"Numerical stability","score":0.46495163440704346},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.44406652450561523},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.421800434589386},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.4140622019767761},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4002588987350464},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.36305922269821167},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.33382976055145264},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.3330416977405548},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.306371808052063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15230140089988708},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0928967297077179}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7218567728996277},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.641889214515686},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5777396559715271},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5545689463615417},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.46495163440704346},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.44406652450561523},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.421800434589386},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.4140622019767761},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4002588987350464},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.36305922269821167},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.33382976055145264},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3330416977405548},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.306371808052063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15230140089988708},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0928967297077179},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"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/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/15m1042115","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1042115","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01201748v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01201748","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"[Research Report] 8625, INRIA Bordeaux. 2015","raw_type":"Reports"},{"id":"pmh:oai:HAL:hal-01347793v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01347793","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"SIAM Journal on Scientific Computing, 2016, 38 (5), pp.C560-C583. &#x27E8;10.1137/15M1042115&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01201748v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01201748","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"[Research Report] 8625, INRIA Bordeaux. 2015","raw_type":"Reports"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3689076409","display_name":"Resilience for exascale scientific computing","funder_award_id":"ANR-10-BLAN-0301","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3857577972","display_name":null,"funder_award_id":"ANR-10-BLANC-0301","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W39269388","https://openalex.org/W101236918","https://openalex.org/W1506342804","https://openalex.org/W1862835629","https://openalex.org/W1977937121","https://openalex.org/W1980431326","https://openalex.org/W1988464212","https://openalex.org/W2024016608","https://openalex.org/W2043184000","https://openalex.org/W2043522772","https://openalex.org/W2068092015","https://openalex.org/W2083613288","https://openalex.org/W2086160340","https://openalex.org/W2086247510","https://openalex.org/W2100970777","https://openalex.org/W2102576651","https://openalex.org/W2108510172","https://openalex.org/W2125768532","https://openalex.org/W2130189691","https://openalex.org/W2138660187","https://openalex.org/W2150679822","https://openalex.org/W2169164058","https://openalex.org/W2169167780","https://openalex.org/W2235126649","https://openalex.org/W2399595040","https://openalex.org/W2528323462","https://openalex.org/W2547917644","https://openalex.org/W2604406263","https://openalex.org/W2727420541","https://openalex.org/W3000330907"],"related_works":["https://openalex.org/W2102789413","https://openalex.org/W1965237235","https://openalex.org/W4230788905","https://openalex.org/W2052500721","https://openalex.org/W2940603871","https://openalex.org/W1532287630","https://openalex.org/W2028331352","https://openalex.org/W4299508867","https://openalex.org/W4226214462","https://openalex.org/W2475429613"],"abstract_inverted_index":{"The":[0],"solution":[1,65,206,216],"of":[2,50,66,88,184,207,217,231,248,268,272,322,352,366],"large":[3,22,37,67,305],"eigenproblems":[4,218],"is":[5,18,53,157,168,252,276],"involved":[6],"in":[7,24,150,158,181,210,219,320],"many":[8,34,59],"scientific":[9],"and":[10,136,316,362,371],"engineering":[11],"applications":[12],"when,":[13],"for":[14,33,102,143,204,303],"instance,":[15],"stability":[16],"analysis":[17],"a":[19,129,138,151,159,163,211,223,240,245,259,299],"concern.":[20],"For":[21,193,222,326],"simulation":[23],"material":[25],"physics":[26],"or":[27,119,287],"thermoacoustics,":[28],"the":[29,44,51,64,86,133,146,155,176,182,185,189,198,205,215,227,249,264,269,310,317,332,349,353,360,364],"calculation":[30,190],"can":[31,78],"last":[32],"hours":[35],"on":[36,91,110],"parallel":[38,75,105,117,120],"platforms.":[39],"On":[40],"future":[41],"large-scale":[42,104],"systems,":[43],"mean":[45],"time":[46],"between":[47],"failures":[48],"(MTBF)":[49],"system":[52,139,156],"expected":[54],"to":[55,73,169,214,257,262,335,359,363],"decrease":[56],"so":[57,174],"that":[58,77,82,128,137,175,277],"faults":[60],"could":[61],"occur":[62],"during":[63],"eigenproblems.":[68],"Consequently,":[69],"it":[70,278],"becomes":[71],"critical":[72],"design":[74],"eigensolvers":[76],"survive":[79],"faults.":[80],"In":[81,294],"framework,":[83],"we":[84,108,113,196,297,330,347],"investigate":[85],"relevance":[87],"approaches":[89],"relying":[90],"numerical":[92,111,124,225,265,274,345],"techniques,":[93],"which":[94],"might":[95],"be":[96],"combined":[97],"with":[98,357],"more":[99],"classical":[100],"techniques":[101],"real":[103],"implementations.":[106],"Because":[107],"focus":[109],"remedies,":[112],"do":[114],"not":[115,280],"consider":[116],"implementations":[118],"experiments":[121],"but":[122],"only":[123],"experiments.":[125],"We":[126],"assume":[127],"separate":[130],"mechanism":[131],"ensures":[132],"fault":[134,186,292],"detection":[135],"layer":[140],"provides":[141],"support":[142],"setting":[144],"back":[145],"environment":[147],"(processes,":[148],"etc.)":[149],"running":[152,160],"state.":[153],"Once":[154],"state,":[161],"after":[162,239],"fault,":[164],"our":[165,323],"main":[166,270],"objective":[167],"provide":[170],"robust":[171],"resilient":[172,355],"schemes":[173,356],"eigensolver":[177],"may":[178],"keep":[179],"converging":[180],"presence":[183],"without":[187],"restarting":[188],"from":[191,236],"scratch.":[192],"this":[194,220,273,295],"purpose,":[195],"extend":[197],"interpolation-restart":[199],"(IR)":[200],"strategies":[201,229,256,334],"initially":[202],"introduced":[203],"linear":[208],"systems":[209],"previous":[212],"work":[213],"paper.":[221],"given":[224],"scheme,":[226],"IR":[228,324,333],"consist":[230],"extracting":[232],"relevant":[233],"spectral":[234,339],"information":[235,340],"available":[237],"data":[238,243,251,367],"fault.":[241],"After":[242],"extraction,":[244],"well-selected":[246],"part":[247],"missing":[250],"regenerated":[253],"through":[254],"interpolation":[255],"constitute":[258],"meaningful":[260],"input":[261],"restart":[263],"algorithm.":[266],"One":[267],"features":[271],"remedy":[275],"does":[279],"require":[281],"extra":[282],"resources,":[283],"i.e.,":[284],"computational":[285],"unit":[286],"computing":[288],"time,":[289],"when":[290],"no":[291],"occurs.":[293],"paper,":[296],"revisit":[298],"few":[300],"state-of-the-art":[301],"methods":[302],"solving":[304],"sparse":[306],"eigenvalue":[307],"problems,":[308],"namely,":[309],"Arnoldi":[311],"methods,":[312,315],"subspace":[313],"iteration":[314],"Jacobi--Davidson":[318],"method,":[319],"light":[321],"strategies.":[325],"each":[327],"considered":[328],"eigensolver,":[329],"adapt":[331],"regenerate":[336],"as":[337,341],"much":[338],"possible.":[342],"Through":[343],"extensive":[344],"experiments,":[346],"study":[348],"respective":[350],"robustness":[351],"resulting":[354],"respect":[358],"MTBF":[361],"amount":[365],"loss":[368],"via":[369],"qualitative":[370],"quantitative":[372],"illustrations.":[373]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-06-20T22:02:38.213706","created_date":"2025-10-10T00:00:00"}
