{"id":"https://openalex.org/W1971841841","doi":"https://doi.org/10.1137/s0895479800370871","title":"An Iterative Method for Solving Complex-Symmetric Systems Arising in Electrical Power Modeling","display_name":"An Iterative Method for Solving Complex-Symmetric Systems Arising in Electrical Power Modeling","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1971841841","doi":"https://doi.org/10.1137/s0895479800370871","mag":"1971841841"},"language":"en","primary_location":{"id":"doi:10.1137/s0895479800370871","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479800370871","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","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/A5038290728","display_name":"Victoria E. Howle","orcid":null},"institutions":[{"id":"https://openalex.org/I192454743","display_name":"Sandia National Laboratories California","ror":"https://ror.org/058m7ey48","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1330989302","https://openalex.org/I192454743","https://openalex.org/I198811213","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Victoria E. Howle","raw_affiliation_strings":["Sandia National Laboratories, P.O. Box 969, MS 9159, Livermore, CA 94551"],"affiliations":[{"raw_affiliation_string":"Sandia National Laboratories, P.O. Box 969, MS 9159, Livermore, CA 94551","institution_ids":["https://openalex.org/I192454743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018511273","display_name":"Stephen A. Vavasis","orcid":"https://orcid.org/0000-0003-1519-6264"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen A. Vavasis","raw_affiliation_strings":["Department of Computer Science, Cornell University, Ithaca, New York 14853"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Cornell University, Ithaca, New York 14853","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038290728"],"corresponding_institution_ids":["https://openalex.org/I192454743"],"apc_list":null,"apc_paid":null,"fwci":2.0199,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.8609831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"26","issue":"4","first_page":"1150","last_page":"1178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9969000220298767,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9957000017166138,"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/preconditioner","display_name":"Preconditioner","score":0.8810023069381714},{"id":"https://openalex.org/keywords/transpose","display_name":"Transpose","score":0.7282295823097229},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6640655994415283},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5107948780059814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5067375302314758},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.504970371723175},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.43249940872192383},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4107869863510132},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39123106002807617},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3811480402946472},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3621731102466583},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34148749709129333},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1386624574661255},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10426047444343567},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08986136317253113}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8810023069381714},{"id":"https://openalex.org/C200106649","wikidata":"https://www.wikidata.org/wiki/Q223683","display_name":"Transpose","level":3,"score":0.7282295823097229},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6640655994415283},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5107948780059814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5067375302314758},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.504970371723175},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.43249940872192383},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4107869863510132},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39123106002807617},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3811480402946472},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3621731102466583},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34148749709129333},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1386624574661255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10426047444343567},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08986136317253113},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0895479800370871","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895479800370871","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.118.3458","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.118.3458","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.ttu.edu/~vhowle/publications/14-37087.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.43.4803","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.43.4803","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.cs.cornell.edu/pub/vavasis/papers/iter_pwr.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1741288133","display_name":null,"funder_award_id":"Sandia","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G2652029450","display_name":"Mathematical Sciences:  Computational and Mathematical      Investigations in Optimization","funder_award_id":"9505155","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3017597143","display_name":null,"funder_award_id":"DE-AC04-94AL85000","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G3521526233","display_name":null,"funder_award_id":"DE-AC04-94AL8","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3821936529","display_name":null,"funder_award_id":"Sandia","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5827802491","display_name":null,"funder_award_id":"DE-AC04-94AL85000","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G6485281451","display_name":null,"funder_award_id":"DE-AC04-94AL85000","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7318852158","display_name":null,"funder_award_id":"AC04-94AL85000","funder_id":"https://openalex.org/F4320338291","funder_display_name":"Sandia National Laboratories"},{"id":"https://openalex.org/G7340972926","display_name":null,"funder_award_id":"other","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7768351324","display_name":null,"funder_award_id":"DE-AC04-94AL850","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G7953487069","display_name":null,"funder_award_id":"DE-AC04-94AL8500","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8414908677","display_name":null,"funder_award_id":"DE-AC0","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8456466421","display_name":null,"funder_award_id":"AC04-94AL85000","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8474508636","display_name":"Applications of Weighted Least Squares","funder_award_id":"9619489","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8564910944","display_name":null,"funder_award_id":"DE-AC04-94AL8500","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338291","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1479829791","https://openalex.org/W1529743344","https://openalex.org/W1591058198","https://openalex.org/W1973061863","https://openalex.org/W1984302541","https://openalex.org/W2040298674","https://openalex.org/W2044180130","https://openalex.org/W2048131904","https://openalex.org/W2066109609","https://openalex.org/W2077791079","https://openalex.org/W2097589995","https://openalex.org/W2106978190","https://openalex.org/W2108663843","https://openalex.org/W2131602952","https://openalex.org/W2137199334","https://openalex.org/W2140153041","https://openalex.org/W2155216327","https://openalex.org/W2620655995","https://openalex.org/W2748630653"],"related_works":["https://openalex.org/W2138831083","https://openalex.org/W2168955368","https://openalex.org/W1575783825","https://openalex.org/W2095813117","https://openalex.org/W3216172936","https://openalex.org/W1971841841","https://openalex.org/W1572718068","https://openalex.org/W2992376929","https://openalex.org/W2938161061","https://openalex.org/W2060439759"],"abstract_inverted_index":{"We":[0],"propose":[1],"an":[2],"iterative":[3],"method":[4,17],"for":[5],"solving":[6],"a":[7,52],"complex-symmetric":[8],"linear":[9],"system":[10],"arising":[11],"in":[12],"electric":[13],"power":[14],"networks.":[15],"Our":[16,48],"extends":[18],"Gremban,":[19],"Miller,":[20],"and":[21,44],"Zagha's":[22],"[in":[23],"Proceedings":[24],"of":[25],"the":[26],"International":[27],"Parallel":[28],"Processing":[29],"Symposium,":[30],"IEEE":[31],"Computer":[32],"Society,":[33],"Los":[34],"Alamitos,":[35],"CA,":[36],"1995]":[37],"support-tree":[38],"preconditioner":[39],"to":[40,54,57],"handle":[41],"complex":[42],"weights":[43],"vastly":[45],"different":[46],"admittances.":[47],"underlying":[49],"iteration":[50],"is":[51],"modification":[53],"transpose-free":[55],"QMR":[56],"enhance":[58],"accuracy.":[59],"Computational":[60],"results":[61],"are":[62],"described.":[63]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
