{"id":"https://openalex.org/W2017741807","doi":"https://doi.org/10.1137/s0895479897329898","title":"A Note on <i>P</i><sub>1</sub> - and Lipschitzian Matrices","display_name":"A Note on <i>P</i><sub>1</sub> - and Lipschitzian Matrices","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2017741807","doi":"https://doi.org/10.1137/s0895479897329898","mag":"2017741807"},"language":"en","primary_location":{"id":"doi:10.1137/s0895479897329898","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479897329898","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/A5113440282","display_name":"G. S. R. Murthy","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"G. S. R. Murthy","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007628003","display_name":"Sarmistha Neogy","orcid":"https://orcid.org/0000-0003-1497-671X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S. K. Neogy","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5010720107","display_name":"Frank Thuijsman","orcid":"https://orcid.org/0000-0001-8139-8003"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"F. Thuijsman","raw_affiliation_strings":["RS: FHS NSO"],"affiliations":[{"raw_affiliation_string":"RS: FHS NSO","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113440282"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14025529,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"2","first_page":"636","last_page":"641"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9894000291824341,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9894000291824341,"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/T11031","display_name":"Game Theory and Applications","score":0.9581000208854675,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8109168410301208},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.582582414150238},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5521190166473389},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.512883186340332},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.44244757294654846},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4236010015010834},{"id":"https://openalex.org/keywords/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.420331209897995},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36277100443840027},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32010066509246826},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24965691566467285},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09071847796440125},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08636617660522461}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8109168410301208},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.582582414150238},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5521190166473389},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.512883186340332},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.44244757294654846},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4236010015010834},{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.420331209897995},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36277100443840027},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32010066509246826},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24965691566467285},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09071847796440125},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08636617660522461},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0895479897329898","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479897329898","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"},{"id":"pmh:oai:cris.maastrichtuniversity.nl:openaire_cris_publications/63af539b-929f-4588-b88e-37f1ed24e15f","is_oa":false,"landing_page_url":"https://cris.maastrichtuniversity.nl/en/publications/63af539b-929f-4588-b88e-37f1ed24e15f","pdf_url":null,"source":{"id":"https://openalex.org/S4306402616","display_name":"Research Publications (Maastricht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I34352273","host_organization_name":"Maastricht University","host_organization_lineage":["https://openalex.org/I34352273"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Murthy, GSR, Neogy, SK & Thuijsman, F 2000, 'A note on P-1- and Lipschitzian matrices', Siam Journal on Matrix Analysis and Applications, vol. 21, no. 2, pp. 636-641. https://doi.org/10.1137/S0895479897329898","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W944354","https://openalex.org/W175846526","https://openalex.org/W584634945","https://openalex.org/W1973794046","https://openalex.org/W1992769584","https://openalex.org/W2000151369","https://openalex.org/W2013094178","https://openalex.org/W2052236232","https://openalex.org/W2076238872","https://openalex.org/W2089189328","https://openalex.org/W2125651385","https://openalex.org/W2333672840","https://openalex.org/W4249508444"],"related_works":["https://openalex.org/W3107994849","https://openalex.org/W4247143848","https://openalex.org/W2735573198","https://openalex.org/W2009883749","https://openalex.org/W29442446","https://openalex.org/W1483407203","https://openalex.org/W2896904446","https://openalex.org/W330727063","https://openalex.org/W3194471551","https://openalex.org/W4206825956"],"abstract_inverted_index":{"The":[0],"linear":[1],"complementarity":[2],"problem":[3],"(q,":[4,64,73],"A)":[5,65,74],"with":[6],"data":[7],"$A":[8],"\\in":[9,15,22],"R^{n":[10],"\\times":[11],"n}$":[12],"and":[13,31,38,46,72,93,134],"$q":[14],"R^n$":[16,23],"involves":[17],"finding":[18],"a":[19,67,70,76,103,128],"nonnegative":[20],"$z":[21],"such":[24],"that":[25,48],"$Az":[26],"+":[27,33],"q":[28,61,81],"\\geq":[29],"0$":[30],"$z^t(Az":[32],"q)":[34],"=":[35],"0$.":[36],"Cottle":[37],"Stone":[39],"introduced":[40],"the":[41,83,88,121,146],"class":[42,147],"of":[43,59,85,90,105,108,117,123,148],"P1":[44,53,109],"-matrices":[45],"showed":[47],"if":[49],"A":[50],"is":[51,69,151],"in":[52,82],"\\Q,":[54],"then":[55],"K(A)":[56],"(the":[57],"set":[58],"all":[60],"for":[62,79,126],"which":[63,127],"has":[66,75],"solution)":[68],"half-space":[71],"unique":[77],"solution":[78],"every":[80],"interior":[84],"K(A).":[86],"Extending":[87],"results":[89],"Murthy,":[91,132],"Parthasarathy,":[92,133],"Sriparna":[94,135],"[":[95],"Ann.":[96],"Dynamic":[97],"Games,":[98],"to":[99],"appear],":[100],"we":[101,112],"present":[102,113],"number":[104],"equivalent":[106],"characterizations":[107],"\\Q.":[110],"Also,":[111],"yet":[114],"another":[115],"characterization":[116],"P-matrices.":[118],"This":[119],"widens":[120],"range":[122],"matrix":[124],"classes":[125],"conjecture":[129],"raised":[130],"by":[131],"[SIAM":[136],"J.":[137],"Matrix":[138],"Anal.":[139],"Appl.,":[140],"19":[141],"(1998),":[142],"pp.":[143],"898--905]":[144],"characterizing":[145],"Lipschitzian":[149],"matrices":[150],"true.":[152]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
