{"id":"https://openalex.org/W2111557759","doi":"https://doi.org/10.1080/00207160412331291116","title":"On the construction of some functional inequalities via ECGM algorithm","display_name":"On the construction of some functional inequalities via ECGM algorithm","publication_year":2005,"publication_date":"2005-12-01","ids":{"openalex":"https://openalex.org/W2111557759","doi":"https://doi.org/10.1080/00207160412331291116","mag":"2111557759"},"language":"en","primary_location":{"id":"doi:10.1080/00207160412331291116","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160412331291116","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5111830149","display_name":"M. A. Ibiejugba","orcid":null},"institutions":[{"id":"https://openalex.org/I186771145","display_name":"Covenant University","ror":"https://ror.org/00frr1n84","country_code":"NG","type":"education","lineage":["https://openalex.org/I186771145"]}],"countries":["NG"],"is_corresponding":true,"raw_author_name":"M. A. Ibiejugba","raw_affiliation_strings":["\n Department of Physical Sciences (Applied Mathematics), College of Science and Technology, Covenant University, Ota, Ogun State, Nigeria","Department of Physical Sciences (Applied Mathematics), College of Science and Technology , Covenant University , Ota, Ogun State, Nigeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Department of Physical Sciences (Applied Mathematics), College of Science and Technology, Covenant University, Ota, Ogun State, Nigeria","institution_ids":["https://openalex.org/I186771145"]},{"raw_affiliation_string":"Department of Physical Sciences (Applied Mathematics), College of Science and Technology , Covenant University , Ota, Ogun State, Nigeria","institution_ids":["https://openalex.org/I186771145"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015851673","display_name":"K. S. Adegbie","orcid":null},"institutions":[{"id":"https://openalex.org/I186771145","display_name":"Covenant University","ror":"https://ror.org/00frr1n84","country_code":"NG","type":"education","lineage":["https://openalex.org/I186771145"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"K. S. Adegbie","raw_affiliation_strings":["\n Department of Physical Sciences (Applied Mathematics), College of Science and Technology, Covenant University, Ota, Ogun State, Nigeria","Department of Physical Sciences (Applied Mathematics), College of Science and Technology , Covenant University , Ota, Ogun State, Nigeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Department of Physical Sciences (Applied Mathematics), College of Science and Technology, Covenant University, Ota, Ogun State, Nigeria","institution_ids":["https://openalex.org/I186771145"]},{"raw_affiliation_string":"Department of Physical Sciences (Applied Mathematics), College of Science and Technology , Covenant University , Ota, Ogun State, Nigeria","institution_ids":["https://openalex.org/I186771145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111830149"],"corresponding_institution_ids":["https://openalex.org/I186771145"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.187655,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"82","issue":"12","first_page":"1467","last_page":"1479"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9995999932289124,"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":0.9995999932289124,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9713000059127808,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.8833034634590149},{"id":"https://openalex.org/keywords/derivation-of-the-conjugate-gradient-method","display_name":"Derivation of the conjugate gradient method","score":0.7297534346580505},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.6678275465965271},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6391753554344177},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"Conjugate residual method","score":0.5778173804283142},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.47583961486816406},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45564210414886475},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4160923361778259},{"id":"https://openalex.org/keywords/conjugate","display_name":"Conjugate","score":0.4111535847187042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3015833795070648},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.18066123127937317},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09222877025604248},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08894097805023193},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.087283194065094}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.8833034634590149},{"id":"https://openalex.org/C198562538","wikidata":"https://www.wikidata.org/wiki/Q5262612","display_name":"Derivation of the conjugate gradient method","level":5,"score":0.7297534346580505},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.6678275465965271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6391753554344177},{"id":"https://openalex.org/C91394653","wikidata":"https://www.wikidata.org/wiki/Q5161159","display_name":"Conjugate residual method","level":4,"score":0.5778173804283142},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.47583961486816406},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45564210414886475},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4160923361778259},{"id":"https://openalex.org/C197336794","wikidata":"https://www.wikidata.org/wiki/Q5161150","display_name":"Conjugate","level":2,"score":0.4111535847187042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3015833795070648},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.18066123127937317},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09222877025604248},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08894097805023193},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.087283194065094}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160412331291116","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160412331291116","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1556760457","https://openalex.org/W1977825777","https://openalex.org/W2003351297","https://openalex.org/W2007193650","https://openalex.org/W2012231377","https://openalex.org/W2032651326","https://openalex.org/W2078728154","https://openalex.org/W2106965455","https://openalex.org/W2316564661","https://openalex.org/W2747753434","https://openalex.org/W2795991493","https://openalex.org/W4246357433","https://openalex.org/W4301903054"],"related_works":["https://openalex.org/W2098528027","https://openalex.org/W2005717169","https://openalex.org/W2183734858","https://openalex.org/W3159557833","https://openalex.org/W4319027779","https://openalex.org/W2357791884","https://openalex.org/W4291138102","https://openalex.org/W2017958786","https://openalex.org/W3159907817","https://openalex.org/W4229957265"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"development":[2,59],"of":[3,40,57,60,74,103],"optimization":[4],"theory":[5],"originated":[6],"with":[7],"economic":[8],"requirements":[9],"and":[10],"problems,":[11],"where":[12],"optimal":[13,117],"strategy":[14],"was":[15,28],"to":[16],"be":[17],"determined":[18],"mathematically.":[19],"At":[20],"about":[21,36],"the":[22,38,50,55,83,101],"same":[23],"time,":[24],"approximation":[25,71,93],"theory,":[26],"which":[27,88],"already":[29],"well":[30],"developed,":[31],"experienced":[32],"a":[33,79],"reinvigoration":[34],"brought":[35],"by":[37],"advent":[39],"electronic":[41],"computers.":[42],"In":[43],"this":[44,97],"paper,":[45],"what":[46],"follows,":[47],"we":[48],"recall":[49],"functional":[51,105],"analysis":[52],"that":[53,66],"constitutes":[54],"framework":[56],"our":[58],"an":[61],"extended":[62],"conjugate":[63,85,112],"gradient":[64,86,110,113],"algorithm":[65,99],"does":[67],"not":[68],"involve":[69],"any":[70,73],"in":[72],"its":[75],"steps.":[76],"This":[77],"is":[78,89],"computational":[80],"enhancement":[81],"over":[82],"conventional":[84],"method":[87,114],"dependent":[90],"on":[91],"some":[92,104],"theory.":[94],"We":[95],"use":[96],"improved":[98],"for":[100],"construction":[102],"inequalities.":[106],"Keywords:":[107],"Functional":[108],"inequalitiesConjugate":[109],"methodExtended":[111],"algorithmApproximation":[115],"theoryContinuous":[116],"control":[118],"problems":[119]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}