{"id":"https://openalex.org/W2759267655","doi":"https://doi.org/10.15439/2017f64","title":"Block Subspace Projection Preconditioned Conjugate Gradient Method for Structural Modal Analysis","display_name":"Block Subspace Projection Preconditioned Conjugate Gradient Method for Structural Modal Analysis","publication_year":2017,"publication_date":"2017-09-24","ids":{"openalex":"https://openalex.org/W2759267655","doi":"https://doi.org/10.15439/2017f64","mag":"2759267655"},"language":"en","primary_location":{"id":"doi:10.15439/2017f64","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2017f64","pdf_url":"https://annals-csis.org/proceedings/2017/drp/pdf/64.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/2017/drp/pdf/64.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048098496","display_name":"Sergiy Fialko","orcid":"https://orcid.org/0000-0001-7543-5744"},"institutions":[{"id":"https://openalex.org/I24881138","display_name":"Cracow University of Technology","ror":"https://ror.org/00pdej676","country_code":"PL","type":"education","lineage":["https://openalex.org/I24881138"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Sergiy Fialko","raw_affiliation_strings":["Tadeusz Ko\u015bciuszko Cracow University of Technology ul. Warszawska 24 St., 31-155 Krak\u00f3w, Poland"],"affiliations":[{"raw_affiliation_string":"Tadeusz Ko\u015bciuszko Cracow University of Technology ul. Warszawska 24 St., 31-155 Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I24881138"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083611008","display_name":"Viktor Karpilovskyi","orcid":"https://orcid.org/0000-0002-9437-0373"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Viktor Karpilovskyi","raw_affiliation_strings":["IT company SCAD Soft, ul. Osvity 3a, office 1, 2, Kiev, Ukraine"],"affiliations":[{"raw_affiliation_string":"IT company SCAD Soft, ul. Osvity 3a, office 1, 2, Kiev, Ukraine","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048098496"],"corresponding_institution_ids":["https://openalex.org/I24881138"],"apc_list":null,"apc_paid":null,"fwci":0.7793,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64587525,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":null,"first_page":"497","last_page":"506"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.7888636589050293},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6756246089935303},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5648320913314819},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"Conjugate residual method","score":0.5409870743751526},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5215911269187927},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5132486820220947},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.48222076892852783},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3864111304283142},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3532026708126068},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16087418794631958},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1171773374080658},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.0999080240726471},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.07338878512382507}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.7888636589050293},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6756246089935303},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5648320913314819},{"id":"https://openalex.org/C91394653","wikidata":"https://www.wikidata.org/wiki/Q5161159","display_name":"Conjugate residual method","level":4,"score":0.5409870743751526},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5215911269187927},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5132486820220947},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.48222076892852783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3864111304283142},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3532026708126068},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16087418794631958},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1171773374080658},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0999080240726471},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.07338878512382507},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.15439/2017f64","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2017f64","pdf_url":"https://annals-csis.org/proceedings/2017/drp/pdf/64.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"}],"best_oa_location":{"id":"doi:10.15439/2017f64","is_oa":true,"landing_page_url":"https://doi.org/10.15439/2017f64","pdf_url":"https://annals-csis.org/proceedings/2017/drp/pdf/64.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":[{"id":"https://metadata.un.org/sdg/12","score":0.41999998688697815,"display_name":"Responsible consumption and production"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2759267655.pdf","grobid_xml":"https://content.openalex.org/works/W2759267655.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W50770707","https://openalex.org/W1493905949","https://openalex.org/W1944317095","https://openalex.org/W1967929760","https://openalex.org/W1972886861","https://openalex.org/W1976467180","https://openalex.org/W2011000353","https://openalex.org/W2065989297","https://openalex.org/W2070571481","https://openalex.org/W2087618354","https://openalex.org/W2092010997","https://openalex.org/W2092320654","https://openalex.org/W2109490994","https://openalex.org/W2120383759","https://openalex.org/W2138025416","https://openalex.org/W2145257815","https://openalex.org/W2178771058","https://openalex.org/W2342748186","https://openalex.org/W2480854438","https://openalex.org/W2524690353"],"related_works":["https://openalex.org/W920376575","https://openalex.org/W2279364295","https://openalex.org/W3201381130","https://openalex.org/W2158686900","https://openalex.org/W2391598889","https://openalex.org/W3196355701","https://openalex.org/W1482512921","https://openalex.org/W3098505774","https://openalex.org/W2524690353","https://openalex.org/W1514546695"],"abstract_inverted_index":{"The":[0],"method":[1,17,67],"for":[2,78],"extracting":[3],"natural":[4],"vibration":[5],"frequencies":[6],"and":[7,25,41,50,85,91,109],"modes":[8],"of":[9,23,65,104,113],"design":[10],"models":[11],"arising":[12],"when":[13],"the":[14,21,46,62,66,71,82,89,93,101,111,114],"finite":[15],"element":[16],"is":[18,28,32,42],"applied":[19],"to":[20,34,45],"problems":[22],"structural":[24],"solid":[26],"mechanics":[27],"proposed.":[29],"This":[30],"approach":[31,77],"intended":[33],"be":[35],"used":[36,55],"on":[37],"multicore":[38],"SMP":[39],"computers":[40],"an":[43],"alternative":[44],"conventional":[47],"block":[48,74],"Lanczos":[49],"subspace":[51],"iteration":[52],"methods":[53],"widely":[54],"in":[56],"modern":[57],"FEA":[58],"software.":[59],"We":[60],"present":[61],"main":[63],"idea":[64],"as":[68,70],"well":[69],"parallel":[72],"fast":[73],"incomplete":[75],"factorization":[76],"creating":[79],"efficient":[80],"preconditioning,":[81],"shift":[83],"technique":[84],"other":[86],"details":[87],"accelerating":[88],"solution":[90],"improving":[92],"numerical":[94],"stability.":[95],"Real-life":[96],"examples":[97],"are":[98],"taken":[99],"from":[100],"computational":[102],"practice":[103],"SCAD":[105],"Soft":[106],"IT":[107],"company":[108],"approve":[110],"efficiency":[112],"proposed":[115],"method.":[116]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}