{"id":"https://openalex.org/W2288344724","doi":"https://doi.org/10.1109/cdc.2015.7402510","title":"Numerical decomposition of symmetric linear systems","display_name":"Numerical decomposition of symmetric linear systems","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2288344724","doi":"https://doi.org/10.1109/cdc.2015.7402510","mag":"2288344724"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2015.7402510","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402510","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5072891938","display_name":"Claus Danielson","orcid":"https://orcid.org/0000-0002-2317-3014"},"institutions":[{"id":"https://openalex.org/I4210133125","display_name":"Mitsubishi Electric (Japan)","ror":"https://ror.org/033y26782","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Claus Danielson","raw_affiliation_strings":["Mitsubishi Electric Res. Labs, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Res. Labs, Japan","institution_ids":["https://openalex.org/I4210133125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062654588","display_name":"Stefan Bauer","orcid":"https://orcid.org/0000-0002-7836-5961"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Stefan Bauer","raw_affiliation_strings":["Swiss Federal Inst. of Tech. in Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Swiss Federal Inst. of Tech. in Zurich, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0059,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.77573025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2061","last_page":"2066"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9947999715805054,"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":0.9947999715805054,"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/T10142","display_name":"Formal Methods in Verification","score":0.9940999746322632,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9933000206947327,"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/decomposition","display_name":"Decomposition","score":0.8189834952354431},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.7604106068611145},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.611988365650177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4515390694141388},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4122486710548401},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4109839200973511},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4048127830028534},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35599854588508606},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3515779972076416},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18764415383338928},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1186283528804779},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08902692794799805},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07971188426017761},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06410917639732361}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.8189834952354431},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.7604106068611145},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.611988365650177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4515390694141388},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4122486710548401},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4109839200973511},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4048127830028534},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35599854588508606},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3515779972076416},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18764415383338928},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1186283528804779},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08902692794799805},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07971188426017761},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06410917639732361},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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":1,"locations":[{"id":"doi:10.1109/cdc.2015.7402510","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7402510","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W602809265","https://openalex.org/W1596185498","https://openalex.org/W1981482844","https://openalex.org/W1986117758","https://openalex.org/W2034256388","https://openalex.org/W2071859728","https://openalex.org/W2084148362","https://openalex.org/W2106576896","https://openalex.org/W2146060931"],"related_works":["https://openalex.org/W2020324647","https://openalex.org/W2386767533","https://openalex.org/W2607851375","https://openalex.org/W1978397269","https://openalex.org/W1514662352","https://openalex.org/W2381410797","https://openalex.org/W2147964324","https://openalex.org/W4239376463","https://openalex.org/W2351859806","https://openalex.org/W2288344724"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3],"method":[4],"for":[5,45],"numerically":[6],"decomposing":[7],"symmetric":[8,33],"linear":[9],"systems.":[10],"We":[11,30,41],"define":[12],"system":[13,28],"symmetries":[14,53],"as":[15],"transformations":[16],"of":[17],"the":[18,27,51,59],"inputs,":[19],"outputs,":[20],"and":[21,54],"states":[22],"that":[23,32,49],"do":[24],"not":[25],"change":[26],"behavior.":[29],"show":[31],"systems":[34],"can":[35],"be":[36],"decomposed":[37],"into":[38],"decoupled":[39],"subsystems.":[40],"provide":[42],"an":[43],"algorithm":[44],"performing":[46],"this":[47],"decomposition":[48],"uses":[50],"input-output":[52],"minimal":[55],"realizations":[56],"to":[57],"calculate":[58],"decomposition.":[60]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}