{"id":"https://openalex.org/W7163170160","doi":"https://doi.org/10.1016/j.matcom.2026.05.031","title":"Gradient neural dynamics for linear matrix equations and their applications","display_name":"Gradient neural dynamics for linear matrix equations and their applications","publication_year":2026,"publication_date":"2026-06-02","ids":{"openalex":"https://openalex.org/W7163170160","doi":"https://doi.org/10.1016/j.matcom.2026.05.031"},"language":"en","primary_location":{"id":"doi:10.1016/j.matcom.2026.05.031","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2026.05.031","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","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/A5067141362","display_name":"Marko D. Petkovi\u0107","orcid":"https://orcid.org/0000-0002-6862-1968"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Marko D. Petkovi\u0107","raw_affiliation_strings":["University of Ni\u0161, Faculty of Sciences and Mathematics, Vi\u0161egradska 33, 18000 Ni\u0161, Serbia"],"raw_orcid":"https://orcid.org/0000-0002-6862-1968","affiliations":[{"raw_affiliation_string":"University of Ni\u0161, Faculty of Sciences and Mathematics, Vi\u0161egradska 33, 18000 Ni\u0161, Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030926154","display_name":"Marko Kostadinov","orcid":"https://orcid.org/0000-0002-7396-8624"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Marko Kostadinov","raw_affiliation_strings":["University of Ni\u0161, Faculty of Mechanical Engineering, Aleksandra Medvedeva 14, 18000 Ni\u0161, Serbia"],"raw_orcid":"https://orcid.org/0000-0002-7396-8624","affiliations":[{"raw_affiliation_string":"University of Ni\u0161, Faculty of Mechanical Engineering, Aleksandra Medvedeva 14, 18000 Ni\u0161, Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104453518","display_name":"Jelena Daki\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I5936373","display_name":"University of Montenegro","ror":"https://ror.org/02drrjp49","country_code":"ME","type":"education","lineage":["https://openalex.org/I5936373"]}],"countries":["ME"],"is_corresponding":false,"raw_author_name":"Jelena Daki\u0107","raw_affiliation_strings":["University of Podgorica, Faculty of Natural Sciences and Mathematics, Cetinjski put 2, 81000 Podgorica, Montenegro"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Podgorica, Faculty of Natural Sciences and Mathematics, Cetinjski put 2, 81000 Podgorica, Montenegro","institution_ids":["https://openalex.org/I5936373"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067141362"],"corresponding_institution_ids":["https://openalex.org/I152518017"],"apc_list":{"value":1450,"currency":"USD","value_usd":1450},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.67002221,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"249","issue":null,"first_page":"560","last_page":"582"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.16920000314712524,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.16920000314712524,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.15950000286102295,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.07959999889135361,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5274999737739563},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4562000036239624},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.41519999504089355},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4146000146865845},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.34450000524520874},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.31279999017715454},{"id":"https://openalex.org/keywords/linear-equation","display_name":"Linear equation","score":0.3052999973297119}],"concepts":[{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5274999737739563},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4562000036239624},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4343000054359436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4300999939441681},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4235000014305115},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.41519999504089355},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4146000146865845},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.34450000524520874},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3156000077724457},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.31279999017715454},{"id":"https://openalex.org/C77346573","wikidata":"https://www.wikidata.org/wiki/Q484637","display_name":"Linear equation","level":2,"score":0.3052999973297119},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29980000853538513},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.28619998693466187},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.26919999718666077},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.2671999931335449},{"id":"https://openalex.org/C86761442","wikidata":"https://www.wikidata.org/wiki/Q6787879","display_name":"Matrix method","level":2,"score":0.26649999618530273},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.2554999887943268},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.2547000050544739}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.matcom.2026.05.031","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.matcom.2026.05.031","pdf_url":null,"source":{"id":"https://openalex.org/S32114090","display_name":"Mathematics and Computers in Simulation","issn_l":"0378-4754","issn":["0378-4754","1872-7166"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Computers in Simulation","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":36,"referenced_works":["https://openalex.org/W1991815745","https://openalex.org/W2014548081","https://openalex.org/W2020821222","https://openalex.org/W2035780670","https://openalex.org/W2040534832","https://openalex.org/W2041705422","https://openalex.org/W2053961820","https://openalex.org/W2085696132","https://openalex.org/W2118373006","https://openalex.org/W2144308533","https://openalex.org/W2164342016","https://openalex.org/W2166083100","https://openalex.org/W2596557491","https://openalex.org/W2792085281","https://openalex.org/W2800459683","https://openalex.org/W2910351607","https://openalex.org/W2963605706","https://openalex.org/W2964296010","https://openalex.org/W2984191341","https://openalex.org/W3039930540","https://openalex.org/W3114530367","https://openalex.org/W3128723704","https://openalex.org/W3138823696","https://openalex.org/W3169672010","https://openalex.org/W3197517345","https://openalex.org/W3200161806","https://openalex.org/W4220705768","https://openalex.org/W4316126904","https://openalex.org/W4389513564","https://openalex.org/W4390879323","https://openalex.org/W4396778253","https://openalex.org/W4402520944","https://openalex.org/W4407641632","https://openalex.org/W4410736071","https://openalex.org/W7118181605","https://openalex.org/W7124546281"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2026-06-03T00:00:00"}
