{"id":"https://openalex.org/W2265644731","doi":"https://doi.org/10.1080/10556788.2015.1104677","title":"Exploiting hardware capabilities in interior point methods","display_name":"Exploiting hardware capabilities in interior point methods","publication_year":2015,"publication_date":"2015-11-26","ids":{"openalex":"https://openalex.org/W2265644731","doi":"https://doi.org/10.1080/10556788.2015.1104677","mag":"2265644731"},"language":"en","primary_location":{"id":"doi:10.1080/10556788.2015.1104677","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2015.1104677","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://eprints.sztaki.hu/8998/1/Meszaros_435_3146362_ny.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042817676","display_name":"Csaba M\u00e9sz\u00e1ros","orcid":"https://orcid.org/0000-0003-0306-8417"},"institutions":[{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"funder","lineage":["https://openalex.org/I7597260"]},{"id":"https://openalex.org/I4210117195","display_name":"Institute for Computer Science and Control","ror":"https://ror.org/0249v7n71","country_code":"HU","type":"facility","lineage":["https://openalex.org/I4210117195","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Csaba M\u00e9sz\u00e1ros","raw_affiliation_strings":["Computer and Automation Research Institute, Hungarian Academy of Sciences, Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"Computer and Automation Research Institute, Hungarian Academy of Sciences, Budapest, Hungary","institution_ids":["https://openalex.org/I7597260","https://openalex.org/I4210117195"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042817676"],"corresponding_institution_ids":["https://openalex.org/I4210117195","https://openalex.org/I7597260"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.15613966,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"31","issue":"2","first_page":"435","last_page":"443"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9983000159263611,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.8806617259979248},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8051502704620361},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.63651442527771},{"id":"https://openalex.org/keywords/vector-processor","display_name":"Vector processor","score":0.6253889799118042},{"id":"https://openalex.org/keywords/instruction-set","display_name":"Instruction set","score":0.5210615992546082},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5100699067115784},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.4728919565677643},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.44820621609687805},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.44338271021842957},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4400347173213959},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4388469457626343},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.35662105679512024},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2260880470275879},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09282076358795166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.08512258529663086}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.8806617259979248},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8051502704620361},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.63651442527771},{"id":"https://openalex.org/C161824985","wikidata":"https://www.wikidata.org/wiki/Q919509","display_name":"Vector processor","level":2,"score":0.6253889799118042},{"id":"https://openalex.org/C202491316","wikidata":"https://www.wikidata.org/wiki/Q272683","display_name":"Instruction set","level":2,"score":0.5210615992546082},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5100699067115784},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.4728919565677643},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.44820621609687805},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.44338271021842957},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4400347173213959},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4388469457626343},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.35662105679512024},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2260880470275879},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09282076358795166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.08512258529663086},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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:10.1080/10556788.2015.1104677","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10556788.2015.1104677","pdf_url":null,"source":{"id":"https://openalex.org/S103047102","display_name":"Optimization methods & software","issn_l":"1026-7670","issn":["1026-7670","1029-4937","1055-6788"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Methods and Software","raw_type":"journal-article"},{"id":"pmh:oai:eprints.sztaki.hu:8998","is_oa":true,"landing_page_url":"http://eprints.sztaki.hu/8998/","pdf_url":"https://eprints.sztaki.hu/8998/1/Meszaros_435_3146362_ny.pdf","source":{"id":"https://openalex.org/S4306401907","display_name":"SZTAKI Publication Repository (Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I7597260","host_organization_name":"Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I7597260"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:eprints.sztaki.hu:8998","is_oa":true,"landing_page_url":"http://eprints.sztaki.hu/8998/","pdf_url":"https://eprints.sztaki.hu/8998/1/Meszaros_435_3146362_ny.pdf","source":{"id":"https://openalex.org/S4306401907","display_name":"SZTAKI Publication Repository (Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I7597260","host_organization_name":"Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I7597260"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2265644731.pdf","grobid_xml":"https://content.openalex.org/works/W2265644731.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1988425770","https://openalex.org/W2002576214","https://openalex.org/W2014730252","https://openalex.org/W2016761488","https://openalex.org/W2031216525","https://openalex.org/W2052321453","https://openalex.org/W2065298649","https://openalex.org/W2070496218","https://openalex.org/W2085548605","https://openalex.org/W2092163279","https://openalex.org/W2093664408","https://openalex.org/W2093903024","https://openalex.org/W2096559782","https://openalex.org/W2101501830","https://openalex.org/W2204863336","https://openalex.org/W4243513274"],"related_works":["https://openalex.org/W32529763","https://openalex.org/W1674415840","https://openalex.org/W2038600225","https://openalex.org/W1624166738","https://openalex.org/W2004651778","https://openalex.org/W1980548573","https://openalex.org/W588591933","https://openalex.org/W2029525207","https://openalex.org/W2106561276","https://openalex.org/W840962066"],"abstract_inverted_index":{"The":[0],"increase":[1],"of":[2,10],"computer":[3,101],"performance":[4,74,96],"continues":[5],"to":[6,93],"support":[7],"the":[8,27,59,67,87,108],"practice":[9],"largescale":[11],"optimization.Computers":[12],"with":[13],"multiple":[14],"computing":[15],"cores":[16],"and":[17,47,54],"vector":[18,61],"processing":[19],"capabilities":[20],"are":[21],"now":[22],"widely":[23],"available.We":[24],"investigate":[25],"how":[26],"recently":[28],"introduced":[29],"Advanced":[30],"Vector":[31],"Instruction":[32],"(AVX)":[33],"set":[34,70],"on":[35,51,79,97,102],"Intel-compatible":[36],"architectures":[37],"can":[38],"be":[39],"exploited":[40],"in":[41,76,86],"interior":[42],"point":[43],"methods":[44],"for":[45,106],"linear":[46,103],"nonlinear":[48],"optimization.We":[49],"focus":[50],"data":[52],"structures":[53],"implementation":[55,78],"techniques":[56],"that":[57,66,82],"utilize":[58],"new":[60],"instructions.Our":[62],"numerical":[63],"experiments":[64],"demonstrate":[65],"AVX":[68],"instruction":[69],"provides":[71],"a":[72,98],"significant":[73,84],"boost":[75],"our":[77],"large-scale":[80],"problem":[81],"have":[83],"fill-in":[85],"sparse":[88],"Cholesky":[89,110],"factorization,":[90],"achieving":[91],"up":[92],"100":[94],"gigaflops":[95],"standard":[99],"desktop":[100],"optimization":[104],"problems":[105],"which":[107],"required":[109],"factorization":[111],"is":[112],"relatively":[113],"dense.":[114]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}