{"id":"https://openalex.org/W2047316561","doi":"https://doi.org/10.1002/(sici)1097-0037(200003)35:2<91::aid-net1>3.0.co;2-t","title":"A truncated primal-infeasible dual-feasible network interior point method","display_name":"A truncated primal-infeasible dual-feasible network interior point method","publication_year":2000,"publication_date":"2000-03-01","ids":{"openalex":"https://openalex.org/W2047316561","doi":"https://doi.org/10.1002/(sici)1097-0037(200003)35:2<91::aid-net1>3.0.co;2-t","mag":"2047316561"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0037(200003)35:2<91::aid-net1>3.0.co;2-t","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(200003)35:2<91::aid-net1>3.0.co;2-t","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","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/A5000482099","display_name":"Lu\u00eds Portugal","orcid":null},"institutions":[{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"L. F. Portugal","raw_affiliation_strings":["Departamento de Cie\u0302ncias da Terra, Universidade de Coimbra, 3000 Coimbra, Portugal","Luis Portugal passed away on July 21, 1998","Departamento de Ci\u00eancias da Terra, Universidade de Coimbra, 3000 Coimbra, Portugal"],"affiliations":[{"raw_affiliation_string":"Departamento de Cie\u0302ncias da Terra, Universidade de Coimbra, 3000 Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]},{"raw_affiliation_string":"Luis Portugal passed away on July 21, 1998","institution_ids":[]},{"raw_affiliation_string":"Departamento de Ci\u00eancias da Terra, Universidade de Coimbra, 3000 Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029261812","display_name":"Maur\u00edcio G. C. Resende","orcid":"https://orcid.org/0000-0001-7462-6207"},"institutions":[{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M. G. C. Resende","raw_affiliation_strings":["AT&T Labs Research, Florham Park, New Jersey 07932"],"affiliations":[{"raw_affiliation_string":"AT&T Labs Research, Florham Park, New Jersey 07932","institution_ids":["https://openalex.org/I1283103587"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021921216","display_name":"Geraldo Veiga","orcid":null},"institutions":[{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"G. Veiga","raw_affiliation_strings":["AT&T Labs, Lincroft, New Jersey 07738"],"affiliations":[{"raw_affiliation_string":"AT&T Labs, Lincroft, New Jersey 07738","institution_ids":["https://openalex.org/I1283103587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108468644","display_name":"J. J. J\ufffddice","orcid":null},"institutions":[{"id":"https://openalex.org/I76903346","display_name":"University of Coimbra","ror":"https://ror.org/04z8k9a98","country_code":"PT","type":"education","lineage":["https://openalex.org/I76903346"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"J. J. J\ufffddice","raw_affiliation_strings":["Departamento de Matem\u00e1tica, Universidade de Coimbra, 3000 Coimbra, 3000 Coimbra, Portugal"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica, Universidade de Coimbra, 3000 Coimbra, 3000 Coimbra, Portugal","institution_ids":["https://openalex.org/I76903346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5029261812"],"corresponding_institution_ids":["https://openalex.org/I1283103587"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":4.7461,"has_fulltext":false,"cited_by_count":76,"citation_normalized_percentile":{"value":0.95452931,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"35","issue":"2","first_page":"91","last_page":"108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"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":0.9986000061035156,"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/T11502","display_name":"Facility Location and Emergency Management","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9696999788284302,"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/interior-point-method","display_name":"Interior point method","score":0.7685074210166931},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.7645936012268066},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6988437175750732},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6959702372550964},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6014465689659119},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5419389605522156},{"id":"https://openalex.org/keywords/flow-network","display_name":"Flow network","score":0.5280157923698425},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4891825020313263},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4785224199295044},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.4693601727485657},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4539979100227356},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4213455617427826}],"concepts":[{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.7685074210166931},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.7645936012268066},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6988437175750732},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6959702372550964},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6014465689659119},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5419389605522156},{"id":"https://openalex.org/C114809511","wikidata":"https://www.wikidata.org/wiki/Q1412924","display_name":"Flow network","level":2,"score":0.5280157923698425},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4891825020313263},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4785224199295044},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4693601727485657},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4539979100227356},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4213455617427826},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1002/(sici)1097-0037(200003)35:2<91::aid-net1>3.0.co;2-t","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(200003)35:2<91::aid-net1>3.0.co;2-t","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","raw_type":"journal-article"},{"id":"pmh:hdl:10068/332029","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/332029","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"I - Miscellaneous"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.54.2856","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.2856","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.codiciel.fr/netlib/att/math/people/mgcr/doc/pdnet.ps.Z","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.69.346","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.69.346","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.research.att.com/~mgcr/doc/pdnet.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W34169854","https://openalex.org/W47264501","https://openalex.org/W135641456","https://openalex.org/W578227430","https://openalex.org/W640673894","https://openalex.org/W1237127655","https://openalex.org/W1481831505","https://openalex.org/W1513400187","https://openalex.org/W1514754701","https://openalex.org/W1521064641","https://openalex.org/W1533868172","https://openalex.org/W1537221987","https://openalex.org/W1561880747","https://openalex.org/W1567487011","https://openalex.org/W1573409602","https://openalex.org/W1606606555","https://openalex.org/W1963951527","https://openalex.org/W1964540128","https://openalex.org/W1965680834","https://openalex.org/W1966629740","https://openalex.org/W1972223440","https://openalex.org/W1984840780","https://openalex.org/W1986984076","https://openalex.org/W1992208469","https://openalex.org/W1993982015","https://openalex.org/W1994722534","https://openalex.org/W1996410010","https://openalex.org/W1997116158","https://openalex.org/W2017927472","https://openalex.org/W2027907985","https://openalex.org/W2032545668","https://openalex.org/W2037099387","https://openalex.org/W2044973895","https://openalex.org/W2045721235","https://openalex.org/W2050897335","https://openalex.org/W2057718356","https://openalex.org/W2063176644","https://openalex.org/W2064642630","https://openalex.org/W2074316151","https://openalex.org/W2084461590","https://openalex.org/W2085049270","https://openalex.org/W2086867325","https://openalex.org/W2089389443","https://openalex.org/W2090359754","https://openalex.org/W2093903024","https://openalex.org/W2107501462","https://openalex.org/W2129264186","https://openalex.org/W2154951198","https://openalex.org/W2162747128","https://openalex.org/W2182811131","https://openalex.org/W2322316662","https://openalex.org/W2338905098","https://openalex.org/W2400756934","https://openalex.org/W2408225058","https://openalex.org/W2611147814","https://openalex.org/W2614333644","https://openalex.org/W2751128126","https://openalex.org/W2922104599","https://openalex.org/W3113130260","https://openalex.org/W6672364019"],"related_works":["https://openalex.org/W2965106131","https://openalex.org/W2114808974","https://openalex.org/W2094757704","https://openalex.org/W25030584","https://openalex.org/W29231041","https://openalex.org/W2610104823","https://openalex.org/W1970997620","https://openalex.org/W2092044038","https://openalex.org/W2144582354","https://openalex.org/W1995818048"],"abstract_inverted_index":{"In":[0,29,68],"this":[1,20],"paper,":[2],"we":[3],"introduce":[4],"the":[5,24,32,37,44,47,54,58,63,66,69,79,85,90,110],"truncated":[6],"primal-infeasible":[7],"dual-feasible":[8],"interior":[9],"point":[10],"algorithm":[11,21],"for":[12,22,62],"linear":[13,33],"programming":[14],"and":[15,43,89],"describe":[16],"an":[17],"implementation":[18,86,111],"of":[19,46,57,65,84,99],"solving":[23],"minimum-cost":[25,101],"network":[26,102,116],"flow":[27,103,117],"problem.":[28],"each":[30],"iteration,":[31],"system":[34],"that":[35,109],"determines":[36],"search":[38],"direction":[39],"is":[40,51,76,93,112],"computed":[41],"inexactly,":[42],"norm":[45],"resulting":[48],"residual":[49],"vector":[50],"used":[52,77],"in":[53],"stopping":[55],"criteria":[56],"iterative":[59,80],"solver":[60],"employed":[61],"solution":[64],"system.":[67],"implementation,":[70],"a":[71,96],"preconditioned":[72],"conjugate":[73],"gradient":[74],"method":[75],"as":[78],"solver.":[81],"The":[82],"details":[83],"are":[87],"described":[88],"code":[91],"PDNET":[92],"tested":[94],"on":[95],"large":[97],"set":[98],"standard":[100],"test":[104],"problems.":[105],"Computational":[106],"results":[107],"indicate":[108],"competitive":[113],"with":[114],"state-of-the-art":[115],"codes.":[118],"\u00a9":[119],"2000":[120],"John":[121],"Wiley":[122],"&":[123],"Sons,":[124],"Inc.":[125]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}