{"id":"https://openalex.org/W2064808223","doi":"https://doi.org/10.1007/s11590-013-0711-9","title":"A new trust region method for solving least-square transformation of system of equalities and inequalities","display_name":"A new trust region method for solving least-square transformation of system of equalities and inequalities","publication_year":2013,"publication_date":"2013-12-16","ids":{"openalex":"https://openalex.org/W2064808223","doi":"https://doi.org/10.1007/s11590-013-0711-9","mag":"2064808223"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-013-0711-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-013-0711-9","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","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/A5014974115","display_name":"Davoud Ataee Tarzanagh","orcid":"https://orcid.org/0000-0003-1267-3889"},"institutions":[{"id":"https://openalex.org/I83123760","display_name":"Shahid Rajaee Teacher Training University","ror":"https://ror.org/02nkz4493","country_code":"IR","type":"education","lineage":["https://openalex.org/I83123760"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"D. Ataee Tarzanagh","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Shahid Rajaee, Teacher Training University, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Shahid Rajaee, Teacher Training University, Tehran, Iran","institution_ids":["https://openalex.org/I83123760"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019194330","display_name":"Zeinab Saeidian","orcid":null},"institutions":[{"id":"https://openalex.org/I80543232","display_name":"K.N.Toosi University of Technology","ror":"https://ror.org/0433abe34","country_code":"IR","type":"education","lineage":["https://openalex.org/I80543232"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Z. Saeidian","raw_affiliation_strings":["Department of Mathematics, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran","Scientific Computations in Optimization and Systems Engineering (SCOPE), K.N. Toosi University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran","institution_ids":["https://openalex.org/I80543232"]},{"raw_affiliation_string":"Scientific Computations in Optimization and Systems Engineering (SCOPE), K.N. Toosi University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I80543232"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044356249","display_name":"M. Reza Peyghami","orcid":"https://orcid.org/0000-0003-0360-040X"},"institutions":[{"id":"https://openalex.org/I80543232","display_name":"K.N.Toosi University of Technology","ror":"https://ror.org/0433abe34","country_code":"IR","type":"education","lineage":["https://openalex.org/I80543232"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. Reza Peyghami","raw_affiliation_strings":["Department of Mathematics, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran","Scientific Computations in Optimization and Systems Engineering (SCOPE), K.N. Toosi University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran","institution_ids":["https://openalex.org/I80543232"]},{"raw_affiliation_string":"Scientific Computations in Optimization and Systems Engineering (SCOPE), K.N. Toosi University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I80543232"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074943290","display_name":"H. Mesgarani","orcid":"https://orcid.org/0000-0002-0592-7636"},"institutions":[{"id":"https://openalex.org/I83123760","display_name":"Shahid Rajaee Teacher Training University","ror":"https://ror.org/02nkz4493","country_code":"IR","type":"education","lineage":["https://openalex.org/I83123760"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"H. Mesgarani","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Shahid Rajaee, Teacher Training University, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Shahid Rajaee, Teacher Training University, Tehran, Iran","institution_ids":["https://openalex.org/I83123760"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5014974115"],"corresponding_institution_ids":["https://openalex.org/I83123760"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.358,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.87710063,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"9","issue":"2","first_page":"283","last_page":"310"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9825999736785889,"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":0.9810000061988831,"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/robustness","display_name":"Robustness (evolution)","score":0.7640457153320312},{"id":"https://openalex.org/keywords/trust-region","display_name":"Trust region","score":0.7308366894721985},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.6258131265640259},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5782191157341003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.557039737701416},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.547256350517273},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5276521444320679},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.4811502695083618},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4800758957862854},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4706389605998993},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4479208290576935},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.379716157913208},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3574448823928833},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.23129802942276},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08443045616149902},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06500720977783203},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.060610055923461914}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7640457153320312},{"id":"https://openalex.org/C89109886","wikidata":"https://www.wikidata.org/wiki/Q1535924","display_name":"Trust region","level":3,"score":0.7308366894721985},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.6258131265640259},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5782191157341003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.557039737701416},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.547256350517273},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5276521444320679},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.4811502695083618},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4800758957862854},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4706389605998993},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4479208290576935},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.379716157913208},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3574448823928833},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.23129802942276},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08443045616149902},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06500720977783203},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.060610055923461914},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11590-013-0711-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-013-0711-9","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"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":"Optimization Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5699999928474426,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322705","display_name":"K.N.Toosi University of Technology","ror":"https://ror.org/0433abe34"},{"id":"https://openalex.org/F4320326795","display_name":"Shahid Rajaee Teacher Training University","ror":"https://ror.org/02nkz4493"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W8821478","https://openalex.org/W1546266651","https://openalex.org/W1563737017","https://openalex.org/W1581667416","https://openalex.org/W1583218760","https://openalex.org/W1586056472","https://openalex.org/W1748199557","https://openalex.org/W1967942590","https://openalex.org/W1985076611","https://openalex.org/W1992654678","https://openalex.org/W1992844530","https://openalex.org/W1997473290","https://openalex.org/W2001907604","https://openalex.org/W2012766316","https://openalex.org/W2021634156","https://openalex.org/W2022090011","https://openalex.org/W2024731739","https://openalex.org/W2043430160","https://openalex.org/W2043701472","https://openalex.org/W2047785690","https://openalex.org/W2056603712","https://openalex.org/W2062187952","https://openalex.org/W2063642413","https://openalex.org/W2064678310","https://openalex.org/W2066205820","https://openalex.org/W2084741900","https://openalex.org/W2091091836","https://openalex.org/W2102079036","https://openalex.org/W2118785781","https://openalex.org/W2145851435","https://openalex.org/W2149454052","https://openalex.org/W2167137033","https://openalex.org/W2487584502","https://openalex.org/W3029645440","https://openalex.org/W4240022917","https://openalex.org/W4249208235","https://openalex.org/W4300448178"],"related_works":["https://openalex.org/W2080108722","https://openalex.org/W2752681920","https://openalex.org/W1997473290","https://openalex.org/W2353911672","https://openalex.org/W2393042414","https://openalex.org/W2062145486","https://openalex.org/W2058731384","https://openalex.org/W3148822801","https://openalex.org/W2010584785","https://openalex.org/W4392004607"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}