{"id":"https://openalex.org/W2059991579","doi":"https://doi.org/10.1137/050636802","title":"A New Iterative Criterion for H\u2010Matrices","display_name":"A New Iterative Criterion for H\u2010Matrices","publication_year":2006,"publication_date":"2006-12-26","ids":{"openalex":"https://openalex.org/W2059991579","doi":"https://doi.org/10.1137/050636802","mag":"2059991579"},"language":"en","primary_location":{"id":"doi:10.1137/050636802","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050636802","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","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/A5073077832","display_name":"M. Alanelli","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. Alanelli","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5019944397","display_name":"A. Hadjidimos","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Hadjidimos","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073077832"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3538,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.81041257,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"29","issue":"1","first_page":"160","last_page":"176"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9983000159263611,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.6974726915359497},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.688828706741333},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6710962057113647},{"id":"https://openalex.org/keywords/subroutine","display_name":"Subroutine","score":0.6156442761421204},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5913029313087463},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5799223184585571},{"id":"https://openalex.org/keywords/matrix-splitting","display_name":"Matrix splitting","score":0.5492992401123047},{"id":"https://openalex.org/keywords/numerical-linear-algebra","display_name":"Numerical linear algebra","score":0.5192627906799316},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5023291110992432},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4795631766319275},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.4736843407154083},{"id":"https://openalex.org/keywords/matrix-free-methods","display_name":"Matrix-free methods","score":0.45513853430747986},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.4419138431549072},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.43638092279434204},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.367550253868103},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.33905357122421265},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.33192986249923706},{"id":"https://openalex.org/keywords/state-transition-matrix","display_name":"State-transition matrix","score":0.29105979204177856},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22359666228294373},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.216791033744812},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16305705904960632},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13757523894309998},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.10962498188018799}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6974726915359497},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.688828706741333},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6710962057113647},{"id":"https://openalex.org/C96147967","wikidata":"https://www.wikidata.org/wiki/Q190686","display_name":"Subroutine","level":2,"score":0.6156442761421204},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5913029313087463},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5799223184585571},{"id":"https://openalex.org/C133589720","wikidata":"https://www.wikidata.org/wiki/Q6787891","display_name":"Matrix splitting","level":5,"score":0.5492992401123047},{"id":"https://openalex.org/C163834973","wikidata":"https://www.wikidata.org/wiki/Q2004891","display_name":"Numerical linear algebra","level":3,"score":0.5192627906799316},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5023291110992432},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4795631766319275},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.4736843407154083},{"id":"https://openalex.org/C54219892","wikidata":"https://www.wikidata.org/wiki/Q4080929","display_name":"Matrix-free methods","level":4,"score":0.45513853430747986},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.4419138431549072},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.43638092279434204},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.367550253868103},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.33905357122421265},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.33192986249923706},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.29105979204177856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22359666228294373},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.216791033744812},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16305705904960632},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13757523894309998},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.10962498188018799},{"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/050636802","is_oa":false,"landing_page_url":"https://doi.org/10.1137/050636802","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.6499999761581421,"display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1980848665","https://openalex.org/W1981662169","https://openalex.org/W1987534307","https://openalex.org/W1989297607","https://openalex.org/W1998373364","https://openalex.org/W2006008787","https://openalex.org/W2014748986","https://openalex.org/W2022481183","https://openalex.org/W2027242217","https://openalex.org/W2030309674","https://openalex.org/W2038369597","https://openalex.org/W2060670443","https://openalex.org/W2069221621","https://openalex.org/W2108908744","https://openalex.org/W2138110186","https://openalex.org/W2156502660","https://openalex.org/W4206307023"],"related_works":["https://openalex.org/W2103577208","https://openalex.org/W2938161061","https://openalex.org/W2488665744","https://openalex.org/W2110834955","https://openalex.org/W2005314356","https://openalex.org/W3046754636","https://openalex.org/W2050716149","https://openalex.org/W1771660623","https://openalex.org/W2000798143","https://openalex.org/W2059991579"],"abstract_inverted_index":{"H\u2010matrices":[0],"appear":[1],"in":[2,10,19,23,35,38,101,126],"many":[3],"areas":[4],"of":[5,13,26,33,50,61,128],"science":[6],"and":[7,22,68,86,121],"engineering,":[8],"e.g.,":[9],"the":[11,14,24,39,48,129],"solution":[12,25,49],"linear":[15,51],"complementarity":[16],"problem":[17],"(LPC)":[18],"optimization":[20],"theory":[21,130],"large":[27],"systems":[28,52],"for":[29,47,58,95],"real":[30],"time":[31],"changes":[32],"data":[34],"fluid":[36],"analysis":[37],"car":[40],"industry.":[41],"Classical":[42],"(stationary)":[43],"iterative":[44,69,93],"methods":[45],"used":[46],"have":[53,65],"been":[54],"shown":[55],"to":[56,71],"converge":[57],"this":[59],"class":[60],"matrices.":[62],"Several":[63],"authors":[64],"proposed":[66],"direct":[67],"criteria":[70],"identify":[72],"whether":[73,107],"a":[74,91,102,113],"certain":[75],"matrix":[76],"$A":[77],"\\in":[78],"\\mathbb{C}^{n,n}$":[79],"is":[80,109,119],"an":[81,110],"H\u2010matrix.":[82,115],"Based":[83],"on":[84],"previous":[85],"new":[87,92],"ideas":[88],"we":[89],"propose":[90],"algorithm":[94],"irreducible":[96],"matrices":[97],"A":[98,108,116],"that,":[99],"except":[100],"\"very":[103],"special\"":[104],"case,":[105],"decides":[106],"H\u2010":[111],"or":[112],"non":[114],"MATLAB":[117],"subroutine":[118],"given":[120],"numerical":[122],"examples":[123],"are":[124],"provided":[125],"support":[127],"developed.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-17T09:09:15.849793","created_date":"2025-10-10T00:00:00"}
