{"id":"https://openalex.org/W2063303789","doi":"https://doi.org/10.15439/2014f216","title":"Inexact Newton matrix-free methods for solving complex biotechnological systems","display_name":"Inexact Newton matrix-free methods for solving complex biotechnological systems","publication_year":2014,"publication_date":"2014-09-29","ids":{"openalex":"https://openalex.org/W2063303789","doi":"https://doi.org/10.15439/2014f216","mag":"2063303789"},"language":"en","primary_location":{"id":"doi:10.15439/2014f216","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2014f216","pdf_url":"https://annals-csis.org/proceedings/2014/pliks/216.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://annals-csis.org/proceedings/2014/pliks/216.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017224429","display_name":"Pawe\u0142 Dr\u0105g","orcid":"https://orcid.org/0000-0001-6718-851X"},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Pawe\u0142 Dr\u0105g","raw_affiliation_strings":["Institute of Computer Engineering, Control and Robotics, Wroc\u0142aw University of Technology, Janiszewskiego 11/17, 50-372, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Engineering, Control and Robotics, Wroc\u0142aw University of Technology, Janiszewskiego 11/17, 50-372, Poland","institution_ids":["https://openalex.org/I11923345"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074527945","display_name":"Marlena Kwiatkowska","orcid":null},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marlena Kwiatkowska","raw_affiliation_strings":["Institute of Environmental Protection Engineering, Faculty of Environmental Engineering, Wroc\u0142aw University of Technology, Pl. Grunwaldzki 9, 50-377, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Environmental Protection Engineering, Faculty of Environmental Engineering, Wroc\u0142aw University of Technology, Pl. Grunwaldzki 9, 50-377, Poland","institution_ids":["https://openalex.org/I11923345"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017224429"],"corresponding_institution_ids":["https://openalex.org/I11923345"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09141583,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"597","last_page":"602"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14083","display_name":"Extremum Seeking Control Systems","score":0.9666000008583069,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9650999903678894,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/computer-science","display_name":"Computer science","score":0.57511967420578},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5148857831954956},{"id":"https://openalex.org/keywords/matrix-algebra","display_name":"Matrix algebra","score":0.4634520709514618},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4549938142299652},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42466944456100464},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29032260179519653},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0950319766998291},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.070069819688797}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.57511967420578},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5148857831954956},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.4634520709514618},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4549938142299652},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42466944456100464},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29032260179519653},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0950319766998291},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.070069819688797},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.15439/2014f216","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2014f216","pdf_url":"https://annals-csis.org/proceedings/2014/pliks/216.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:doaj.org/article:2af916781a60432d85e467babe56dcbe","is_oa":false,"landing_page_url":"https://doaj.org/article/2af916781a60432d85e467babe56dcbe","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Annals of computer science and information systems, Vol 2, Pp 597-602 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.15439/2014f216","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2014f216","pdf_url":"https://annals-csis.org/proceedings/2014/pliks/216.pdf","source":{"id":"https://openalex.org/S4220651875","display_name":"Annals of Computer Science and Information Systems","issn_l":"2300-5963","issn":["2300-5963"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310317484","host_organization_name":"Polskie Towarzystwo Informatyczne","host_organization_lineage":["https://openalex.org/P4310317484"],"host_organization_lineage_names":["Polskie Towarzystwo Informatyczne"],"type":"conference"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Computer Science and Information Systems","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2063303789.pdf","grobid_xml":"https://content.openalex.org/works/W2063303789.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W270126590","https://openalex.org/W636001447","https://openalex.org/W1967522413","https://openalex.org/W1985249384","https://openalex.org/W1990327927","https://openalex.org/W1994722534","https://openalex.org/W2048369486","https://openalex.org/W2066143400","https://openalex.org/W2075151302","https://openalex.org/W2079440004","https://openalex.org/W2079998495","https://openalex.org/W2107501462","https://openalex.org/W2111442058","https://openalex.org/W2115955659","https://openalex.org/W2133437030","https://openalex.org/W2140153041","https://openalex.org/W2164302731","https://openalex.org/W2171303908","https://openalex.org/W2171886636","https://openalex.org/W2221321873","https://openalex.org/W2300303305","https://openalex.org/W2314683316","https://openalex.org/W3029645440","https://openalex.org/W4235623249","https://openalex.org/W4301014524"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2130043461","https://openalex.org/W2530322880"],"abstract_inverted_index":{"In":[0],"the":[1,51,59,63,75,78,81,88,108],"article":[2],"a":[3,33,55,69,92,94,105,121,125],"new":[4,116],"approach":[5,112],"for":[6,128,141],"solving":[7,39],"complex":[8],"and":[9,53,143],"highly":[10,70],"nonlinear":[11,71,98],"differential-algebraic":[12],"equations":[13,41,100],"(DAEs)":[14],"was":[15,85,101,113,118],"presented.":[16],"An":[17,37],"important":[18],"kind":[19],"of":[20,22,27,40,50,62,77,97,124],"applications":[21],"DAE":[23],"systems":[24],"is":[25],"modeling":[26],"biotechnological":[28,43],"processes,":[29],"which":[30],"can":[31],"have":[32],"very":[34],"different":[35],"course.":[36],"efficient":[38],"describing":[42],"industrial":[44],"inlets":[45],"results":[46],"in":[47,87,136],"better":[48],"optimization":[49],"processes":[52,65],"has":[54],"positive":[56],"impact":[57],"on":[58,120],"environment.":[60],"Some":[61],"mentioned":[64],"were":[66,134],"characterized":[67],"by":[68],"dynamics.":[72],"To":[73,103],"obtain":[74],"trajectories":[76],"state":[79],"numerically,":[80],"backward":[82],"differentiation":[83],"formula":[84],"used":[86],"presented":[89],"method.":[90],"As":[91],"result,":[93],"large-scale":[95],"system":[96],"algebraic":[99],"obtained.":[102],"solve":[104],"such":[106],"system,":[107],"inexact":[109],"Newton":[110],"matrix-free":[111],"proposed.":[114],"The":[115,131],"algorithm":[117],"tested":[119],"mathematical":[122],"model":[123],"fed-batch":[126],"fermentor":[127],"penicillin":[129],"production.":[130],"numerical":[132],"simulations":[133],"executed":[135],"MATLAB":[137],"using":[138],"Wroclaw":[139],"Center":[140],"Networking":[142],"Supercomputing.":[144]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
