{"id":"https://openalex.org/W204339159","doi":"https://doi.org/10.1007/978-3-642-38233-8_30","title":"Sparse Linear Complementarity Problems","display_name":"Sparse Linear Complementarity Problems","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W204339159","doi":"https://doi.org/10.1007/978-3-642-38233-8_30","mag":"204339159"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-38233-8_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-38233-8_30","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040863107","display_name":"Hanna Sumita","orcid":"https://orcid.org/0000-0003-4005-3206"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hanna Sumita","raw_affiliation_strings":["Department of Mathematical Informatics, University of Tokyo, Tokyo, 113-8656, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, University of Tokyo, Tokyo, 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047111221","display_name":"Naonori Kakimura","orcid":"https://orcid.org/0000-0002-3918-3479"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]},{"id":"https://openalex.org/I165953009","display_name":"Tokyo University of the Arts","ror":"https://ror.org/00y809n33","country_code":"JP","type":"education","lineage":["https://openalex.org/I165953009"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Naonori Kakimura","raw_affiliation_strings":["College of Arts and Sciences, University of Tokyo, Tokyo, 153-8902, Japan"],"affiliations":[{"raw_affiliation_string":"College of Arts and Sciences, University of Tokyo, Tokyo, 153-8902, Japan","institution_ids":["https://openalex.org/I165953009","https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110768204","display_name":"Kazuhisa Makino","orcid":"https://orcid.org/0009-0000-9771-4955"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kazuhisa Makino","raw_affiliation_strings":["Department of Mathematical Informatics, University of Tokyo, Tokyo, 113-8656, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Informatics, University of Tokyo, Tokyo, 113-8656, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5040863107"],"corresponding_institution_ids":["https://openalex.org/I74801974"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.2345,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78223892,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"358","last_page":"369"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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/T10374","display_name":"Advanced Graph Theory Research","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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9983999729156494,"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/T12288","display_name":"Optimization and Search Problems","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/linear-complementarity-problem","display_name":"Linear complementarity problem","score":0.7606002688407898},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.6406270265579224},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6391658782958984},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.5888745784759521},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5070631504058838},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5067632794380188},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5025451183319092},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.485939621925354},{"id":"https://openalex.org/keywords/complementarity-theory","display_name":"Complementarity theory","score":0.45926108956336975},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4537201523780823},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.42359960079193115},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4217385947704315},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40551358461380005},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38846826553344727},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3292904198169708},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05647262930870056}],"concepts":[{"id":"https://openalex.org/C34320192","wikidata":"https://www.wikidata.org/wiki/Q783105","display_name":"Linear complementarity problem","level":3,"score":0.7606002688407898},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.6406270265579224},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6391658782958984},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.5888745784759521},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5070631504058838},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5067632794380188},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5025451183319092},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.485939621925354},{"id":"https://openalex.org/C85404239","wikidata":"https://www.wikidata.org/wiki/Q5156417","display_name":"Complementarity theory","level":3,"score":0.45926108956336975},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4537201523780823},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.42359960079193115},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4217385947704315},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40551358461380005},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38846826553344727},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3292904198169708},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05647262930870056},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-38233-8_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-38233-8_30","pdf_url":null,"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W204339159","https://openalex.org/W584634945","https://openalex.org/W1560065253","https://openalex.org/W1564988436","https://openalex.org/W1570961610","https://openalex.org/W1805772200","https://openalex.org/W1985354601","https://openalex.org/W2000151369","https://openalex.org/W2000472767","https://openalex.org/W2004936497","https://openalex.org/W2005347459","https://openalex.org/W2015893008","https://openalex.org/W2019609597","https://openalex.org/W2030459733","https://openalex.org/W2038602326","https://openalex.org/W2073873127","https://openalex.org/W2082798332","https://openalex.org/W2090286414","https://openalex.org/W2093128520","https://openalex.org/W2098199921","https://openalex.org/W2118559710","https://openalex.org/W2141351272","https://openalex.org/W2150529683","https://openalex.org/W2152122625","https://openalex.org/W2154044281","https://openalex.org/W2166112996","https://openalex.org/W2166566648","https://openalex.org/W2300684981","https://openalex.org/W2316958944","https://openalex.org/W2496227153","https://openalex.org/W2506178054","https://openalex.org/W4241834925","https://openalex.org/W4285719527","https://openalex.org/W4378195498"],"related_works":["https://openalex.org/W2052366866","https://openalex.org/W4220847489","https://openalex.org/W2276648117","https://openalex.org/W2125058146","https://openalex.org/W2016940464","https://openalex.org/W2084792246","https://openalex.org/W819098253","https://openalex.org/W2765841216","https://openalex.org/W1548220668","https://openalex.org/W2392171817"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-01-15T23:16:33.117629","created_date":"2025-10-10T00:00:00"}
