{"id":"https://openalex.org/W2042098097","doi":"https://doi.org/10.1137/sjoce3000019000001000vii000001","title":"Introduction to the Special Issue on Iterative Methods for Solving Systems of Algebraic Equations","display_name":"Introduction to the Special Issue on Iterative Methods for Solving Systems of Algebraic Equations","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2042098097","doi":"https://doi.org/10.1137/sjoce3000019000001000vii000001","mag":"2042098097"},"language":"en","primary_location":{"id":"doi:10.1137/sjoce3000019000001000vii000001","is_oa":false,"landing_page_url":"https://doi.org/10.1137/sjoce3000019000001000vii000001","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086424147","display_name":"Howard C. Elman","orcid":"https://orcid.org/0000-0002-8886-9901"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Howard Elman","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086424147"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14104072,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"1","first_page":"vii","last_page":"vii"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.23960000276565552,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.23960000276565552,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.23579999804496765,"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/iterative-method","display_name":"Iterative method","score":0.6378605961799622},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47050541639328003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46574413776397705},{"id":"https://openalex.org/keywords/gaussian-elimination","display_name":"Gaussian elimination","score":0.4510974586009979},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4416128098964691},{"id":"https://openalex.org/keywords/matrix-free-methods","display_name":"Matrix-free methods","score":0.4264594614505768},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4103727340698242},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40114060044288635},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38042712211608887},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.32386690378189087},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32018619775772095},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.0855114758014679}],"concepts":[{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6378605961799622},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47050541639328003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46574413776397705},{"id":"https://openalex.org/C126312332","wikidata":"https://www.wikidata.org/wiki/Q2658","display_name":"Gaussian elimination","level":3,"score":0.4510974586009979},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4416128098964691},{"id":"https://openalex.org/C54219892","wikidata":"https://www.wikidata.org/wiki/Q4080929","display_name":"Matrix-free methods","level":4,"score":0.4264594614505768},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4103727340698242},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40114060044288635},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38042712211608887},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.32386690378189087},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32018619775772095},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.0855114758014679},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/sjoce3000019000001000vii000001","is_oa":false,"landing_page_url":"https://doi.org/10.1137/sjoce3000019000001000vii000001","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1969557273","https://openalex.org/W2023689870","https://openalex.org/W2913918688","https://openalex.org/W2170271555","https://openalex.org/W2952318043","https://openalex.org/W4281713237","https://openalex.org/W2358921742","https://openalex.org/W2276668162","https://openalex.org/W1928837518","https://openalex.org/W4382519917"],"abstract_inverted_index":{"This":[0,166,214],"is":[1,26,96,370],"a":[2,133,330,393],"special":[3,293],"issue":[4,378],"of":[5,18,23,27,37,40,71,135,139,224,230,246,265,273,284,323,344,347,351,365,387,398,402],"SIAM":[6],"Journal":[7],"on":[8,57,159,309],"Scientific":[9],"Computing":[10],"devoted":[11,180],"to":[12,53,63,68,182,217,279,307,314,341,391],"iterative":[13,60,143,160,183,225,260,388],"methods":[14,25,55,61,88,161,389],"for":[15,79,99,108,124,233,295,328,334,362],"solving":[16],"systems":[17,39],"algebraic":[19],"equations.":[20],"The":[21,127,146,199],"development":[22,270,384],"efficient":[24],"fundamental":[28],"importance":[29],"in":[30,48,114,129,142,148,163,172,221,254,376],"modern":[31],"computational":[32,46],"modeling,":[33],"as":[34,238,249,292],"the":[35,44,69,72,77,90,105,115,136,140,155,168,173,178,190,222,228,243,250,263,274,281,285,321,324,335,345,352,366,372,383],"solution":[36,144],"large":[38],"equations":[41],"often":[42],"represents":[43],"dominant":[45],"cost":[47],"mathematical":[49],"simulations.":[50],"In":[51],"contrast":[52],"direct":[54,85],"based":[56],"Gaussian":[58],"elimination,":[59],"tend":[62],"have":[64,76],"storage":[65],"requirements":[66],"proportional":[67],"size":[70],"problem.":[73],"Consequently,":[74],"they":[75,103],"potential":[78,252],"handling":[80],"significantly":[81],"larger":[82],"problems":[83],"than":[84,194],"methods.":[86,184],"Iterative":[87],"are":[89,104,118,339],"only":[91,106],"option":[92],"when":[93],"fine":[94],"resolution":[95],"required,":[97],"particularly":[98],"three-dimensional":[100],"models.":[101],"Similarly,":[102],"choice":[107],"nonlinear":[109,116],"problems,":[110,247],"and":[111,177,192,240,262,268,305,318,356,385,395],"such":[112,237,248],"solvers":[113],"case":[117],"frequently":[119],"combined":[120],"with":[121],"inner":[122],"iterations":[123],"linear":[125],"subproblems.":[126],"papers":[128,150,200],"this":[130,296,377],"volume":[131],"represent":[132],"snapshot":[134],"current":[137],"state":[138],"art":[141],"algorithms.":[145],"results":[147],"these":[149],"were":[151,186,197,302],"originally":[152],"presented":[153],"at":[154,189],"Copper":[156,174,286,325],"Mountain":[157,175,287,326],"meeting":[158,171],"held":[162],"April":[164],"1996.":[165],"was":[167],"eleventh":[169],"annual":[170],"series":[176],"fourth":[179],"exclusively":[181],"There":[185],"200":[187],"attendees":[188],"conference,":[191],"more":[193],"150":[195],"presentations":[196],"made.":[198],"included":[201],"here":[202],"(identified":[203],"by":[204,259],"first":[205],"author)":[206],"can":[207],"be":[208,392],"loosely":[209],"grouped":[210],"into":[211,271],"five":[212],"categories:":[213],"collection":[215],"points":[216],"some":[218],"significant":[219],"trends":[220],"study":[223],"methods,":[226],"including":[227],"maturation":[229],"algorithm":[231],"technology":[232],"new":[234],"\"model":[235],"problems\"":[236],"saddle-point":[239],"fourth-order":[241],"problems;":[242],"increasing":[244],"complexity":[245],"full":[251],"equation":[253],"fluid":[255],"dynamics,":[256],"being":[257],"handled":[258],"methods;":[261],"integration":[264],"parallel":[266],"computation":[267],"software":[269],"many":[272],"research":[275],"efforts.":[276],"I":[277,311],"wish":[278],"thank":[280,315],"following":[282],"members":[283],"program":[288],"committee":[289],"who":[290],"acted":[291],"editors":[294],"issue:":[297],"Through":[298],"their":[299],"efforts,":[300],"submissions":[301],"carefully":[303],"refereed":[304],"brought":[306],"print":[308],"schedule.":[310],"also":[312],"want":[313],"Tom":[316],"Manteuffel":[317],"Steve":[319],"McCormick,":[320],"organizers":[322],"conferences,":[327],"setting":[329],"consistently":[331],"high":[332],"standard":[333],"meetings.":[336],"Special":[337],"thanks":[338],"due":[340],"Fred":[342],"Howes":[343],"Department":[346],"Energy,":[348],"Michael":[349],"Steuerwalt":[350],"National":[353],"Science":[354],"Foundation,":[355],"Eric":[357],"Pritcher":[358],"from":[359],"Cray":[360],"Research":[361],"generous":[363],"support":[364],"meeting.":[367],"Our":[368],"hope":[369],"that":[371,382],"diverse":[373],"topics":[374],"covered":[375],"make":[379],"it":[380],"clear":[381],"analysis":[386],"continues":[390],"challenging":[394],"fruitful":[396],"area":[397],"research.":[399],"Howard":[400],"ElmanUniversity":[401],"Maryland,":[403],"College":[404],"Park":[405]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
