{"id":"https://openalex.org/W2059102393","doi":"https://doi.org/10.1137/0803036","title":"Higher-Order Predictor-Corrector Interior Point Methods with Application to Quadratic Objectives","display_name":"Higher-Order Predictor-Corrector Interior Point Methods with Application to Quadratic Objectives","publication_year":1993,"publication_date":"1993-11-01","ids":{"openalex":"https://openalex.org/W2059102393","doi":"https://doi.org/10.1137/0803036","mag":"2059102393"},"language":"en","primary_location":{"id":"doi:10.1137/0803036","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0803036","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","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/A5113591463","display_name":"Tamra Carpenter","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Tamra J. Carpenter","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050074717","display_name":"Irvin J. Lusting","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Irvin J. Lusting","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076430013","display_name":"John M. Mulvey","orcid":"https://orcid.org/0000-0002-4290-0870"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"John M. Mulvey","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5007272964","display_name":"David F. Shanno","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David F. Shanno","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5113591463"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6643,"has_fulltext":false,"cited_by_count":78,"citation_normalized_percentile":{"value":0.9423275,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"3","issue":"4","first_page":"696","last_page":"725"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9883000254631042,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9876999855041504,"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/mathematics","display_name":"Mathematics","score":0.7772230505943298},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.7741791605949402},{"id":"https://openalex.org/keywords/predictor\u2013corrector-method","display_name":"Predictor\u2013corrector method","score":0.7675214409828186},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.7126612663269043},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.6461626291275024},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5718875527381897},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5493183732032776},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4437430799007416},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4417188763618469},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.43688878417015076},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4174134135246277},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.41296473145484924},{"id":"https://openalex.org/keywords/power-iteration","display_name":"Power iteration","score":0.4109554886817932},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.3796274662017822},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11835780739784241},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08793562650680542}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7772230505943298},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.7741791605949402},{"id":"https://openalex.org/C157977623","wikidata":"https://www.wikidata.org/wiki/Q2650267","display_name":"Predictor\u2013corrector method","level":2,"score":0.7675214409828186},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.7126612663269043},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.6461626291275024},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5718875527381897},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5493183732032776},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4437430799007416},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4417188763618469},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.43688878417015076},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4174134135246277},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.41296473145484924},{"id":"https://openalex.org/C162443888","wikidata":"https://www.wikidata.org/wiki/Q1426504","display_name":"Power iteration","level":3,"score":0.4109554886817932},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.3796274662017822},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11835780739784241},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08793562650680542},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0803036","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0803036","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1533868172","https://openalex.org/W1981315194","https://openalex.org/W2030490984","https://openalex.org/W2057722956","https://openalex.org/W2078519610","https://openalex.org/W2079687415","https://openalex.org/W2086867325","https://openalex.org/W2138492203","https://openalex.org/W2165452678","https://openalex.org/W2168825111"],"related_works":["https://openalex.org/W1997779033","https://openalex.org/W2324999667","https://openalex.org/W2032195938","https://openalex.org/W2124504864","https://openalex.org/W2180665313","https://openalex.org/W273098307","https://openalex.org/W3115336282","https://openalex.org/W2763458913","https://openalex.org/W2363366096","https://openalex.org/W2350851240"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,6,14,37,46,55,79,80,103],"authors":[4],"explore":[5],"full":[7],"utility":[8],"of":[9,16,39,57,82,105],"Mehrotra\u2019s":[10],"predictor-corrector":[11],"method":[12],"in":[13,59,108],"context":[15],"linear":[17],"and":[18,33],"convex":[19],"quadratic":[20],"programs.":[21],"They":[22],"describe":[23],"a":[24,60,93],"procedure":[25,49,88],"for":[26,45,53],"doing":[27],"multiple":[28,47],"corrections":[29,58,76,106],"at":[30,78],"each":[31],"iteration":[32,67],"implement":[34],"it":[35],"within":[36],"framework":[38],"OB1.":[40],"Computational":[41],"results":[42,64],"are":[43],"provided":[44],"correcting":[48],"using":[50],"several":[51],"strategies":[52],"determining":[54],"number":[56,104],"given":[61],"iteration.":[62,86,110],"The":[63,87],"indicate":[65],"that":[66],"counts":[68],"can":[69],"be":[70,92],"significantly":[71],"reduced":[72],"by":[73],"allowing":[74],"higher-order":[75],"but":[77],"cost":[81],"extra":[83],"work":[84],"per":[85],"is":[89,102],"shown":[90],"to":[91],"level-m":[94],"composite":[95],"Newton":[96],"interior":[97],"point":[98],"method,":[99],"where":[100],"m":[101],"performed":[107],"an":[109]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
