{"id":"https://openalex.org/W1993650230","doi":"https://doi.org/10.1137/s1052623495295250","title":"Curvilinear Stabilization Techniques for Truncated Newton Methods in Large Scale Unconstrained Optimization","display_name":"Curvilinear Stabilization Techniques for Truncated Newton Methods in Large Scale Unconstrained Optimization","publication_year":1998,"publication_date":"1998-11-01","ids":{"openalex":"https://openalex.org/W1993650230","doi":"https://doi.org/10.1137/s1052623495295250","mag":"1993650230"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623495295250","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623495295250","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/A5067509935","display_name":"Stefano Lucidi","orcid":"https://orcid.org/0000-0003-4356-7958"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stefano Lucidi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019783459","display_name":"Francesco Rochetich","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Francesco Rochetich","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5042713763","display_name":"Massimo Roma","orcid":"https://orcid.org/0000-0002-9858-3616"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Massimo Roma","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.5473,"has_fulltext":false,"cited_by_count":64,"citation_normalized_percentile":{"value":0.92833412,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"8","issue":"4","first_page":"916","last_page":"939"},"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":0.9986000061035156,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9968000054359436,"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/curvilinear-coordinates","display_name":"Curvilinear coordinates","score":0.8534953594207764},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.7387484312057495},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7122651934623718},{"id":"https://openalex.org/keywords/lanczos-resampling","display_name":"Lanczos resampling","score":0.5736368894577026},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.550749659538269},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5441225171089172},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.5073036551475525},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4718356728553772},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4584680497646332},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.43618106842041016},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4354325830936432},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4340533912181854},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.429410457611084},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4067641794681549},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2232222557067871},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11054453253746033},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.102862149477005},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05688890814781189}],"concepts":[{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.8534953594207764},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.7387484312057495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7122651934623718},{"id":"https://openalex.org/C119256216","wikidata":"https://www.wikidata.org/wiki/Q913012","display_name":"Lanczos resampling","level":3,"score":0.5736368894577026},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.550749659538269},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5441225171089172},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.5073036551475525},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4718356728553772},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4584680497646332},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.43618106842041016},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4354325830936432},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4340533912181854},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.429410457611084},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4067641794681549},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2232222557067871},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11054453253746033},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.102862149477005},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05688890814781189},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s1052623495295250","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623495295250","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.53.7485","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.53.7485","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://151.100.16.20/pub/OR/roma/R02_95.ps.Z","raw_type":"text"},{"id":"pmh:oai:iris.uniroma1.it:11573/257186","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/257186","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W164635304","https://openalex.org/W1502501036","https://openalex.org/W1559779211","https://openalex.org/W1580352598","https://openalex.org/W1968553199","https://openalex.org/W1980357388","https://openalex.org/W1984488466","https://openalex.org/W1994722534","https://openalex.org/W1996723024","https://openalex.org/W2012766316","https://openalex.org/W2018850201","https://openalex.org/W2022090011","https://openalex.org/W2043430160","https://openalex.org/W2045454144","https://openalex.org/W2050193462","https://openalex.org/W2059586807","https://openalex.org/W2065000345","https://openalex.org/W2066205820","https://openalex.org/W2069262775","https://openalex.org/W2077658674","https://openalex.org/W2084741900","https://openalex.org/W2090963365","https://openalex.org/W2107501462","https://openalex.org/W2118700449","https://openalex.org/W2142738245","https://openalex.org/W2478091498","https://openalex.org/W2798766386","https://openalex.org/W2798909945","https://openalex.org/W3012317737","https://openalex.org/W3027959458","https://openalex.org/W4212997115","https://openalex.org/W4213217755","https://openalex.org/W4253878268"],"related_works":["https://openalex.org/W2550228252","https://openalex.org/W3137421758","https://openalex.org/W4288099270","https://openalex.org/W2032089608","https://openalex.org/W1979603710","https://openalex.org/W1987960975","https://openalex.org/W2009680197","https://openalex.org/W3022274844","https://openalex.org/W1994391611","https://openalex.org/W1993650230"],"abstract_inverted_index":{"The":[0,45,94],"aim":[1],"of":[2,11,36,54,60,67,96],"this":[3,68],"paper":[4],"is":[5,52,116,127],"to":[6,121],"define":[7],"a":[8,24,29,34,37,41,85,104],"new":[9],"class":[10],"minimization":[12],"algorithms":[13],"for":[14,47,79],"solving":[15],"large":[16],"scale":[17],"unconstrained":[18],"problems.":[19],"In":[20],"particular":[21],"we":[22,70],"describe":[23],"stabilization":[25],"framework,":[26,69],"based":[27],"on":[28],"curvilinear":[30],"linesearch,":[31],"which":[32,74,119],"uses":[33,75],"combination":[35],"Newton-type":[38,86],"direction":[39,51,87],"and":[40,88],"negative":[42,49,91],"curvature":[43,50,92],"direction.":[44,93],"motivation":[46],"using":[48],"that":[53,113,123],"taking":[55],"into":[56],"account":[57],"local":[58],"nonconvexity":[59],"the":[61,65,76,107,114,124],"objective":[62],"function.":[63],"On":[64],"basis":[66],"propose":[71],"an":[72,89],"algorithm":[73,115],"Lanczos":[77],"method":[78],"determining":[80],"at":[81],"each":[82],"iteration":[83],"both":[84],"effective":[90],"results":[95,111],"extensive":[97],"numerical":[98],"testing":[99],"are":[100],"reported":[101],"together":[102],"with":[103,106],"comparison":[105],"LANCELOT":[108],"package.":[109],"These":[110],"show":[112],"very":[117],"competitive,":[118],"seems":[120],"indicate":[122],"proposed":[125],"approach":[126],"promising.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
