{"id":"https://openalex.org/W1522810223","doi":"https://doi.org/10.1023/a:1008772414083","title":"Globally Convergent Algorithms for Unconstrained Optimization","display_name":"Globally Convergent Algorithms for Unconstrained Optimization","publication_year":2000,"publication_date":"2000-09-01","ids":{"openalex":"https://openalex.org/W1522810223","doi":"https://doi.org/10.1023/a:1008772414083","mag":"1522810223"},"language":"en","primary_location":{"id":"doi:10.1023/a:1008772414083","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008772414083","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and 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/A5113521547","display_name":"Yixun Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]},{"id":"https://openalex.org/I190816365","display_name":"Bloomsburg University","ror":"https://ror.org/007dga614","country_code":"US","type":"education","lineage":["https://openalex.org/I190816365"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yixun Shi","raw_affiliation_strings":["Department of Mathematics and Computer Science, Bloomsburg University of Pennsylvania, Bloomsburg, PA, 17815, USA","Department of Mathematics and Computer Science, Bloomsburg University of Pennsylvania, Bloomsburg, PA 17815, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Bloomsburg University of Pennsylvania, Bloomsburg, PA, 17815, USA","institution_ids":["https://openalex.org/I190816365"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Bloomsburg University of Pennsylvania, Bloomsburg, PA 17815, USA","institution_ids":["https://openalex.org/I190816365","https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113521547"],"corresponding_institution_ids":["https://openalex.org/I190816365","https://openalex.org/I79576946"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.08357349,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"3","first_page":"295","last_page":"308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9965999722480774,"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":0.9961000084877014,"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":0.8231909275054932},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6356329321861267},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6261985301971436},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5677964091300964},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.5235207080841064},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.49683907628059387},{"id":"https://openalex.org/keywords/descent-direction","display_name":"Descent direction","score":0.4921383261680603},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4877780079841614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4877406060695648},{"id":"https://openalex.org/keywords/method-of-steepest-descent","display_name":"Method of steepest descent","score":0.48307421803474426},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4826586842536926},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4241284728050232},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.42067721486091614},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.30020037293434143},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13984611630439758},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11119139194488525},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1027260422706604},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.051075249910354614}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8231909275054932},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6356329321861267},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6261985301971436},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5677964091300964},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.5235207080841064},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49683907628059387},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.4921383261680603},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4877780079841614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4877406060695648},{"id":"https://openalex.org/C158847443","wikidata":"https://www.wikidata.org/wiki/Q1997812","display_name":"Method of steepest descent","level":2,"score":0.48307421803474426},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4826586842536926},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4241284728050232},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.42067721486091614},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.30020037293434143},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13984611630439758},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11119139194488525},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1027260422706604},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.051075249910354614},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1008772414083","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008772414083","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1600159612","https://openalex.org/W1786620475","https://openalex.org/W1969811075","https://openalex.org/W1988849934","https://openalex.org/W2041187281","https://openalex.org/W2053116529","https://openalex.org/W2056603712","https://openalex.org/W2059635037","https://openalex.org/W2062106836","https://openalex.org/W2068484625","https://openalex.org/W2077658674","https://openalex.org/W2079440004","https://openalex.org/W2091683542","https://openalex.org/W2092487915","https://openalex.org/W2266946488","https://openalex.org/W2798766386","https://openalex.org/W3012317737","https://openalex.org/W3141890267","https://openalex.org/W4242229293","https://openalex.org/W6665936913"],"related_works":["https://openalex.org/W2387535608","https://openalex.org/W9059077","https://openalex.org/W1985812215","https://openalex.org/W2350788688","https://openalex.org/W2111200844","https://openalex.org/W2799975713","https://openalex.org/W2380062341","https://openalex.org/W2367976695","https://openalex.org/W2762113365","https://openalex.org/W39176023"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
