{"id":"https://openalex.org/W2954935454","doi":"https://doi.org/10.1109/tcsii.2019.2924898","title":"UaL Decomposition, an Alternative to the LU Factorization of MNA Matrices","display_name":"UaL Decomposition, an Alternative to the LU Factorization of MNA Matrices","publication_year":2019,"publication_date":"2019-06-25","ids":{"openalex":"https://openalex.org/W2954935454","doi":"https://doi.org/10.1109/tcsii.2019.2924898","mag":"2954935454"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2019.2924898","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2924898","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","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/A5086004026","display_name":"Reza Hashemian","orcid":"https://orcid.org/0000-0002-0028-7078"},"institutions":[{"id":"https://openalex.org/I102502594","display_name":"Northern Illinois University","ror":"https://ror.org/012wxa772","country_code":"US","type":"education","lineage":["https://openalex.org/I102502594"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Reza Hashemian","raw_affiliation_strings":["Department of Electrical Engineering, Northern Illinois University, DeKalb, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Northern Illinois University, DeKalb, USA","institution_ids":["https://openalex.org/I102502594"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086004026"],"corresponding_institution_ids":["https://openalex.org/I102502594"],"apc_list":null,"apc_paid":null,"fwci":0.776,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74274609,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"67","issue":"4","first_page":"630","last_page":"634"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.987500011920929,"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":0.987500011920929,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9021999835968018,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.6185221672058105},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.5984219908714294},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3748769760131836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3201826810836792},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.3138478398323059},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16049009561538696},{"id":"https://openalex.org/keywords/organic-chemistry","display_name":"Organic chemistry","score":0.07161939144134521}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6185221672058105},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5984219908714294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3748769760131836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3201826810836792},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.3138478398323059},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16049009561538696},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.07161939144134521}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2019.2924898","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2019.2924898","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1529181380","https://openalex.org/W1998894100","https://openalex.org/W2911892692"],"related_works":["https://openalex.org/W4387497383","https://openalex.org/W2948807893","https://openalex.org/W2778153218","https://openalex.org/W2748952813","https://openalex.org/W1531601525","https://openalex.org/W2078814861","https://openalex.org/W2527526854","https://openalex.org/W1976181487","https://openalex.org/W1986764834","https://openalex.org/W657579294"],"abstract_inverted_index":{"This":[0,146],"brief":[1],"presents":[2],"an":[3],"alternative":[4],"to":[5,30,39,44,128,153],"the":[6,45,63,73,79,90,94,123,126,130,154,157],"well":[7,35],"know":[8],"LU":[9,47],"factorization":[10],"technique":[11],"dominantly":[12],"used":[13],"in":[14,89],"modified":[15],"nodal":[16],"analysis":[17],"(MNA)":[18],"circuit":[19,57],"solutions.":[20],"The":[21,49],"method,":[22],"called":[23],"upper":[24],"and":[25,81,134],"lower":[26],"decomposition,":[27],"is":[28,51,72,102],"proven":[29],"be":[31],"computationally":[32],"efficient":[33],"as":[34,36,70],"less":[37],"prone":[38],"round":[40,149],"off":[41,150],"errors":[42],"compared":[43],"traditional":[46],"factorization.":[48],"method":[50,127],"developed":[52],"for":[53,60,75,160],"three":[54,112],"cases":[55,83,113],"of":[56,98,119,122,125,156],"analysis.":[58,162],"First,":[59],"situations":[61],"where":[62],"excitation":[64],"sources":[65,88,107],"are":[66,143],"all":[67,111,139],"current":[68],"sources,":[69],"traditionally":[71],"case":[74,97],"MNA":[76],"representation.":[77],"In":[78,117],"second":[80],"third":[82],"we":[84],"allow":[85],"input":[86],"voltage":[87],"circuit,":[91],"making":[92],"it":[93],"most":[95],"general":[96],"mixed":[99],"sources.":[100],"It":[101],"shown":[103],"that":[104],"a":[105],"combined":[106],"representation":[108],"can":[109],"generalize":[110],"into":[114],"one":[115],"category.":[116],"terms":[118],"accuracy,":[120],"because":[121],"capability":[124],"find":[129],"common":[131],"factors":[132],"(pivots)":[133],"remove":[135],"them":[136],"before":[137],"hand,":[138],"divisions":[140],"with":[141],"remainders":[142],"categorically":[144],"eliminated.":[145],"removes":[147],"possible":[148],"errors,":[151],"adding":[152],"precision":[155],"technique,":[158],"particularly":[159],"symbolic":[161]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}