{"id":"https://openalex.org/W3080742381","doi":"https://doi.org/10.1016/j.advengsoft.2020.102895","title":"Active set expansion strategies in MPRGP algorithm","display_name":"Active set expansion strategies in MPRGP algorithm","publication_year":2020,"publication_date":"2020-08-22","ids":{"openalex":"https://openalex.org/W3080742381","doi":"https://doi.org/10.1016/j.advengsoft.2020.102895","mag":"3080742381"},"language":"en","primary_location":{"id":"doi:10.1016/j.advengsoft.2020.102895","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.advengsoft.2020.102895","pdf_url":null,"source":{"id":"https://openalex.org/S16540516","display_name":"Advances in Engineering Software","issn_l":"0965-9978","issn":["0965-9978","1873-5339"],"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":"Advances in Engineering Software","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/A5052455594","display_name":"Jakub Kru\u017e\u00edk","orcid":"https://orcid.org/0000-0001-5448-837X"},"institutions":[{"id":"https://openalex.org/I4210112637","display_name":"Czech Academy of Sciences, Institute of Geonics","ror":"https://ror.org/02d3n7h84","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210112637"]},{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"J. Kru\u017e\u00edk","raw_affiliation_strings":["Department of Applied Mathematics, FEECS, V\u0160B-TU Ostrava, Ostrava, Czech Republic","Institute of Geonics of the Czech Academy of Sciences, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, FEECS, V\u0160B-TU Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Institute of Geonics of the Czech Academy of Sciences, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I4210112637"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010762974","display_name":"David Hor\u00e1k","orcid":"https://orcid.org/0000-0001-8825-1944"},"institutions":[{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]},{"id":"https://openalex.org/I4210112637","display_name":"Czech Academy of Sciences, Institute of Geonics","ror":"https://ror.org/02d3n7h84","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210112637"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"D. Hor\u00e1k","raw_affiliation_strings":["Department of Applied Mathematics, FEECS, V\u0160B-TU Ostrava, Ostrava, Czech Republic","Institute of Geonics of the Czech Academy of Sciences, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, FEECS, V\u0160B-TU Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Institute of Geonics of the Czech Academy of Sciences, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I4210112637"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085647935","display_name":"Martin \u010cerm\u00e1k","orcid":"https://orcid.org/0000-0002-0171-625X"},"institutions":[{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]},{"id":"https://openalex.org/I4210112637","display_name":"Czech Academy of Sciences, Institute of Geonics","ror":"https://ror.org/02d3n7h84","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210112637"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"M. \u010cerm\u00e1k","raw_affiliation_strings":["Department of Applied Mathematics, FEECS, V\u0160B-TU Ostrava, Ostrava, Czech Republic","Department of Mathematics, Faculty of Civil Engineering, V\u0160B-TU Ostrava, Ostrava, Czech Republic","Institute of Geonics of the Czech Academy of Sciences, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, FEECS, V\u0160B-TU Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Civil Engineering, V\u0160B-TU Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Institute of Geonics of the Czech Academy of Sciences, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I4210112637"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048169774","display_name":"Luk\u00e1\u0161 Posp\u00ed\u0161il","orcid":"https://orcid.org/0000-0001-9801-0538"},"institutions":[{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"L. Posp\u00ed\u0161il","raw_affiliation_strings":["Department of Mathematics, Faculty of Civil Engineering, V\u0160B-TU Ostrava, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Civil Engineering, V\u0160B-TU Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051169311","display_name":"Marek Pecha","orcid":null},"institutions":[{"id":"https://openalex.org/I4210112637","display_name":"Czech Academy of Sciences, Institute of Geonics","ror":"https://ror.org/02d3n7h84","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210112637"]},{"id":"https://openalex.org/I142208455","display_name":"VSB - Technical University of Ostrava","ror":"https://ror.org/05x8mcb75","country_code":"CZ","type":"education","lineage":["https://openalex.org/I142208455"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"M. Pecha","raw_affiliation_strings":["Department of Applied Mathematics, FEECS, V\u0160B-TU Ostrava, Ostrava, Czech Republic","Institute of Geonics of the Czech Academy of Sciences, Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, FEECS, V\u0160B-TU Ostrava, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I142208455"]},{"raw_affiliation_string":"Institute of Geonics of the Czech Academy of Sciences, Ostrava, Czech Republic","institution_ids":["https://openalex.org/I4210112637"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5052455594"],"corresponding_institution_ids":["https://openalex.org/I142208455","https://openalex.org/I4210112637"],"apc_list":{"value":4190,"currency":"USD","value_usd":4190},"apc_paid":null,"fwci":1.9739,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.8481074,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"149","issue":null,"first_page":"102895","last_page":"102895"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9954000115394592,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9954000115394592,"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"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9948999881744385,"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/hessian-matrix","display_name":"Hessian matrix","score":0.7864763140678406},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.7399927377700806},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6158962845802307},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5959712266921997},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5001058578491211},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4941141903400421},{"id":"https://openalex.org/keywords/active-set-method","display_name":"Active set method","score":0.4728798270225525},{"id":"https://openalex.org/keywords/active-learning","display_name":"Active learning (machine learning)","score":0.45250049233436584},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.43642640113830566},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4351632297039032},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4165090024471283},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39258038997650146},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.221034437417984},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17433995008468628}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.7864763140678406},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.7399927377700806},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6158962845802307},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5959712266921997},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5001058578491211},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4941141903400421},{"id":"https://openalex.org/C195064452","wikidata":"https://www.wikidata.org/wiki/Q2823740","display_name":"Active set method","level":4,"score":0.4728798270225525},{"id":"https://openalex.org/C77967617","wikidata":"https://www.wikidata.org/wiki/Q4677561","display_name":"Active learning (machine learning)","level":2,"score":0.45250049233436584},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.43642640113830566},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4351632297039032},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4165090024471283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39258038997650146},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.221034437417984},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17433995008468628},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.advengsoft.2020.102895","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.advengsoft.2020.102895","pdf_url":null,"source":{"id":"https://openalex.org/S16540516","display_name":"Advances in Engineering Software","issn_l":"0965-9978","issn":["0965-9978","1873-5339"],"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":"Advances in Engineering Software","raw_type":"journal-article"},{"id":"pmh:oai:dspace.vsb.cz:10084/142401","is_oa":false,"landing_page_url":"http://hdl.handle.net/10084/142401","pdf_url":null,"source":{"id":"https://openalex.org/S4306401668","display_name":"DSpace V\u0160B-TUO (V\u0160B-TUO)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142208455","host_organization_name":"VSB - Technical University of Ostrava","host_organization_lineage":["https://openalex.org/I142208455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2304017371","display_name":null,"funder_award_id":"CZ.1.05/1.1.00/02.0070","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G2484962738","display_name":null,"funder_award_id":"SP2020/114","funder_id":"https://openalex.org/F4320321005","funder_display_name":"Ministerstvo \u0160kolstv\u00ed, Ml\u00e1de\u017ee a T\u011blov\u00fdchovy"},{"id":"https://openalex.org/G3003890071","display_name":null,"funder_award_id":"19-11441S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G5942510938","display_name":null,"funder_award_id":"847593","funder_id":"https://openalex.org/F4320321005","funder_display_name":"Ministerstvo \u0160kolstv\u00ed, Ml\u00e1de\u017ee a T\u011blov\u00fdchovy"},{"id":"https://openalex.org/G853342598","display_name":null,"funder_award_id":"LQ1602","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"}],"funders":[{"id":"https://openalex.org/F4320321005","display_name":"Ministerstvo \u0160kolstv\u00ed, Ml\u00e1de\u017ee a T\u011blov\u00fdchovy","ror":"https://ror.org/037n8p820"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"},{"id":"https://openalex.org/F4320323872","display_name":"Vysok\u00e1 \u0160kola B\u00e1nsk\u00e1 - Technick\u00e1 Univerzita Ostrava","ror":"https://ror.org/05x8mcb75"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W90568776","https://openalex.org/W107761332","https://openalex.org/W631930523","https://openalex.org/W1546004968","https://openalex.org/W2002374890","https://openalex.org/W2005390260","https://openalex.org/W2024968541","https://openalex.org/W2102794349","https://openalex.org/W2119821739","https://openalex.org/W2140639233","https://openalex.org/W2173259274","https://openalex.org/W2316564661","https://openalex.org/W2519744616","https://openalex.org/W2736319341","https://openalex.org/W2883516630","https://openalex.org/W2919115771","https://openalex.org/W4239510810","https://openalex.org/W4251379444","https://openalex.org/W6600252484","https://openalex.org/W6756764581","https://openalex.org/W6814584781","https://openalex.org/W6824046620"],"related_works":["https://openalex.org/W1971547401","https://openalex.org/W2047822102","https://openalex.org/W2018215034","https://openalex.org/W3107945686","https://openalex.org/W2884245976","https://openalex.org/W2005562358","https://openalex.org/W2381924799","https://openalex.org/W3080334989","https://openalex.org/W1972785655","https://openalex.org/W2358840801"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}