{"id":"https://openalex.org/W4366250523","doi":"https://doi.org/10.1109/ccwc57344.2023.10099341","title":"Investigating the Performance of Steepest Descent, Newton-Raphson, and Fletcher-Reeves Approaches in Unconstrained Minimization Problems","display_name":"Investigating the Performance of Steepest Descent, Newton-Raphson, and Fletcher-Reeves Approaches in Unconstrained Minimization Problems","publication_year":2023,"publication_date":"2023-03-08","ids":{"openalex":"https://openalex.org/W4366250523","doi":"https://doi.org/10.1109/ccwc57344.2023.10099341"},"language":"en","primary_location":{"id":"doi:10.1109/ccwc57344.2023.10099341","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccwc57344.2023.10099341","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 13th Annual Computing and Communication Workshop and Conference (CCWC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5059757110","display_name":"Mohammad Safayet Hossain","orcid":"https://orcid.org/0000-0002-6745-4168"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohammad Safayet Hossain","raw_affiliation_strings":["University of Central Florida,Department of Electrical and Computer Engineering,Orlando,FL,USA","Department of Electrical and Computer Engineering, University of Central Florida, Orlando, FL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Central Florida,Department of Electrical and Computer Engineering,Orlando,FL,USA","institution_ids":["https://openalex.org/I106165777"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Central Florida, Orlando, FL, USA","institution_ids":["https://openalex.org/I106165777"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061897875","display_name":"Marwan A. Simaan","orcid":"https://orcid.org/0000-0002-5393-2018"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marwan A. Simaan","raw_affiliation_strings":["University of Central Florida,Department of Electrical and Computer Engineering,Orlando,FL,USA","Department of Electrical and Computer Engineering, University of Central Florida, Orlando, FL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Central Florida,Department of Electrical and Computer Engineering,Orlando,FL,USA","institution_ids":["https://openalex.org/I106165777"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Central Florida, Orlando, FL, USA","institution_ids":["https://openalex.org/I106165777"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I106165777"],"apc_list":null,"apc_paid":null,"fwci":3.1793,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89717224,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"61","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9993000030517578,"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":0.9993000030517578,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9929999709129333,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/method-of-steepest-descent","display_name":"Method of steepest descent","score":0.6737551689147949},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6648622751235962},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6414510607719421},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5890139937400818},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5505710244178772},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5336606502532959},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5278410911560059},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5133887529373169},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.47368553280830383},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46425798535346985},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.44642141461372375},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.424262672662735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37064462900161743},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1490510106086731},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09888017177581787}],"concepts":[{"id":"https://openalex.org/C158847443","wikidata":"https://www.wikidata.org/wiki/Q1997812","display_name":"Method of steepest descent","level":2,"score":0.6737551689147949},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6648622751235962},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6414510607719421},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5890139937400818},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5505710244178772},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5336606502532959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5278410911560059},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5133887529373169},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.47368553280830383},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46425798535346985},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.44642141461372375},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.424262672662735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37064462900161743},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1490510106086731},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09888017177581787},{"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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ccwc57344.2023.10099341","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccwc57344.2023.10099341","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE 13th Annual Computing and Communication Workshop and Conference (CCWC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1656428850","https://openalex.org/W1907706552","https://openalex.org/W2012231377","https://openalex.org/W2107905962","https://openalex.org/W2133396329","https://openalex.org/W2316564661","https://openalex.org/W2475686826","https://openalex.org/W2903683702","https://openalex.org/W3126147679","https://openalex.org/W3186225489","https://openalex.org/W4285784252"],"related_works":["https://openalex.org/W2207919472","https://openalex.org/W2098528027","https://openalex.org/W2625259661","https://openalex.org/W2544771389","https://openalex.org/W2388344948","https://openalex.org/W2048444161","https://openalex.org/W1922626558","https://openalex.org/W2353411190","https://openalex.org/W3211590003","https://openalex.org/W3197592642"],"abstract_inverted_index":{"Different":[0],"optimization":[1,16],"approaches":[2],"are":[3],"explored":[4],"to":[5,26,74],"solve":[6],"unconstrained":[7],"minimization":[8],"problems":[9,82],"numerically":[10],"in":[11],"this":[12],"paper.":[13],"A":[14],"classic":[15],"problem":[17],"i.e.,":[18],"the":[19,28,62,76,92],"Rosenbrock":[20],"function":[21],"is":[22,66,83,94],"considered":[23,84],"a":[24],"benchmark":[25],"compare":[27],"performance":[29,42],"of":[30,43,72,91],"multiple":[31],"algorithms":[32,93],"including":[33,46],"steepest":[34,63],"descent,":[35],"Newton-Raphson,":[36],"and":[37,55],"Fletcher-Reeves":[38],"conjugate":[39],"gradient.":[40],"The":[41,69,88],"four":[44],"methods":[45],"fixed":[47],"step":[48,51],"size,":[49,52],"variable":[50],"quadratic":[53],"fit,":[54],"golden":[56],"section":[57],"search":[58],"region":[59],"elimination":[60],"with":[61],"descent":[64],"algorithm":[65],"investigated":[67],"also.":[68],"required":[70],"number":[71],"iterations":[73],"converge":[75],"minimum":[77],"set":[78],"point":[79],"while":[80],"solving":[81],"an":[85],"evaluation":[86],"metric.":[87],"converging":[89],"trajectory":[90],"presented":[95],"using":[96],"level":[97],"curves.":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
