{"id":"https://openalex.org/W2148951450","doi":"https://doi.org/10.1002/nla.1680020305","title":"Trust regions based on conic functions in linear and nonlinear programming","display_name":"Trust regions based on conic functions in linear and nonlinear programming","publication_year":1995,"publication_date":"1995-05-01","ids":{"openalex":"https://openalex.org/W2148951450","doi":"https://doi.org/10.1002/nla.1680020305","mag":"2148951450"},"language":"en","primary_location":{"id":"doi:10.1002/nla.1680020305","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.1680020305","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"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":"Numerical Linear Algebra with Applications","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/A5048816381","display_name":"J. L. Nazareth","orcid":null},"institutions":[{"id":"https://openalex.org/I72951846","display_name":"Washington State University","ror":"https://ror.org/05dk0ce17","country_code":"US","type":"education","lineage":["https://openalex.org/I72951846"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. L. Nazareth","raw_affiliation_strings":["Department of Pure and Applied Mathematics, Washington State University, Pullman, WA 99164-3113, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure and Applied Mathematics, Washington State University, Pullman, WA 99164-3113, USA","institution_ids":["https://openalex.org/I72951846"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048816381"],"corresponding_institution_ids":["https://openalex.org/I72951846"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.31167691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"3","first_page":"235","last_page":"241"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":1.0,"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":1.0,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.995199978351593,"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/conic-section","display_name":"Conic section","score":0.8960220217704773},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.7222225666046143},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.7148882150650024},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6543362736701965},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6449476480484009},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6318700313568115},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6209397315979004},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.5642403364181519},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.5177851915359497},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5118295550346375},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5085352659225464},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.4774775505065918},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4445991516113281},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3927905261516571},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2954395115375519},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06497955322265625}],"concepts":[{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.8960220217704773},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.7222225666046143},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.7148882150650024},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6543362736701965},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6449476480484009},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6318700313568115},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6209397315979004},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.5642403364181519},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.5177851915359497},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5118295550346375},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5085352659225464},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4774775505065918},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4445991516113281},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3927905261516571},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2954395115375519},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06497955322265625},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/nla.1680020305","is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.1680020305","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"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":"Numerical Linear Algebra with Applications","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":9,"referenced_works":["https://openalex.org/W754977624","https://openalex.org/W1893275031","https://openalex.org/W1969991107","https://openalex.org/W1978095010","https://openalex.org/W1983448850","https://openalex.org/W2044219297","https://openalex.org/W2059014132","https://openalex.org/W2108560279","https://openalex.org/W2209526309"],"related_works":["https://openalex.org/W2098918699","https://openalex.org/W2035072927","https://openalex.org/W2148951450","https://openalex.org/W2088213153","https://openalex.org/W2295474518","https://openalex.org/W4385791789","https://openalex.org/W2905330294","https://openalex.org/W4251720609","https://openalex.org/W2167631998","https://openalex.org/W2784166211"],"abstract_inverted_index":{"Abstract":[0],"An":[1],"optimization":[2,35],"method":[3],"is":[4],"developed":[5],"based":[6],"on":[7],"ellipsoidal":[8],"trust":[9],"regions":[10],"that":[11],"are":[12],"defined":[13],"by":[14],"conic":[15],"functions.":[16],"It":[17],"provides":[18],"a":[19,28],"powerful":[20],"unifying":[21],"theory":[22],"from":[23],"which":[24],"can":[25],"be":[26],"derived":[27],"variety":[29],"of":[30],"interesting":[31],"and":[32,44],"potentially":[33],"useful":[34],"algorithms,":[36],"in":[37],"particular,":[38],"conjugate\u2010gradient\u2010like":[39],"algorithms":[40,47],"for":[41,48],"nonlinear":[42],"minimization":[43],"Karmarkar\u2010like":[45],"interior\u2010point":[46],"linear":[49],"programming.":[50]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
