{"id":"https://openalex.org/W1574291876","doi":"https://doi.org/10.1109/cdc.2003.1273062","title":"Partial pivoting in the. computation of krylov subspaces of large sparse systems","display_name":"Partial pivoting in the. computation of krylov subspaces of large sparse systems","publication_year":2004,"publication_date":"2004-07-08","ids":{"openalex":"https://openalex.org/W1574291876","doi":"https://doi.org/10.1109/cdc.2003.1273062","mag":"1574291876"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2003.1273062","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1273062","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","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/A5113594860","display_name":"A.S. Hodel","orcid":null},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"A.S. Hodel","raw_affiliation_strings":["Department of Electrical & Computer Engineering, Aubum University, Auburn, AL, USA","Dept. of Electr. & Comput. Eng.,, Auburn Univ., AL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, Aubum University, Auburn, AL, USA","institution_ids":["https://openalex.org/I82497590"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng.,, Auburn Univ., AL, USA","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043862324","display_name":"Pradeep Kumar M\u0131sra","orcid":"https://orcid.org/0000-0002-9164-6071"},"institutions":[{"id":"https://openalex.org/I19648265","display_name":"Wright State University","ror":"https://ror.org/04qk6pt94","country_code":"US","type":"education","lineage":["https://openalex.org/I19648265"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Misra","raw_affiliation_strings":["Department of Electrical Engineering, Wright State University, Dayton, USA","Wright State University;"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Wright State University, Dayton, USA","institution_ids":["https://openalex.org/I19648265"]},{"raw_affiliation_string":"Wright State University;","institution_ids":["https://openalex.org/I19648265"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113594860"],"corresponding_institution_ids":["https://openalex.org/I82497590"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.07551845,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"2878","last_page":"2883"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9962000250816345,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9940999746322632,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.956037163734436},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.6682634353637695},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.60332852602005},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5597749352455139},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.5584144592285156},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5567638874053955},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5393301248550415},{"id":"https://openalex.org/keywords/sylvester-equation","display_name":"Sylvester equation","score":0.48723354935646057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4722152352333069},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4560622274875641},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4492656886577606},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.43624746799468994},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.41938018798828125},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.3894413113594055},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3298642039299011},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31352853775024414},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10178884863853455},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08048325777053833},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08046489953994751},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.06052955985069275}],"concepts":[{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.956037163734436},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6682634353637695},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.60332852602005},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5597749352455139},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.5584144592285156},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5567638874053955},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5393301248550415},{"id":"https://openalex.org/C100468782","wikidata":"https://www.wikidata.org/wiki/Q3730848","display_name":"Sylvester equation","level":3,"score":0.48723354935646057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4722152352333069},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4560622274875641},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4492656886577606},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.43624746799468994},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.41938018798828125},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.3894413113594055},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3298642039299011},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31352853775024414},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10178884863853455},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08048325777053833},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08046489953994751},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06052955985069275},{"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2003.1273062","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1273062","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","raw_type":"proceedings-article"},{"id":"pmh:oai:corescholar.libraries.wright.edu:ee-1016","is_oa":false,"landing_page_url":"https://corescholar.libraries.wright.edu/ee/16","pdf_url":null,"source":{"id":"https://openalex.org/S2737205702","display_name":"Journal of Bioresource Management","issn_l":"2309-3854","issn":["2309-3854"],"is_oa":false,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4310316536","host_organization_name":"Bioresource Research Center (BRC), Islamabad","host_organization_lineage":["https://openalex.org/P4310316536"],"host_organization_lineage_names":["Bioresource Research Center (BRC), Islamabad"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical Engineering Faculty Publications","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W845130065","https://openalex.org/W1533442397","https://openalex.org/W1552900025","https://openalex.org/W1973942504","https://openalex.org/W1985927505","https://openalex.org/W2010020746","https://openalex.org/W2033029203","https://openalex.org/W2035387301","https://openalex.org/W2036191408","https://openalex.org/W2042106612","https://openalex.org/W2049395862","https://openalex.org/W2093090480","https://openalex.org/W2097660079","https://openalex.org/W2140153041","https://openalex.org/W2146115574","https://openalex.org/W2798909945","https://openalex.org/W3216747129","https://openalex.org/W6623660701","https://openalex.org/W6631942236"],"related_works":["https://openalex.org/W2042846224","https://openalex.org/W2358905935","https://openalex.org/W2942315554","https://openalex.org/W2804461272","https://openalex.org/W2040391781","https://openalex.org/W2375237787","https://openalex.org/W3134028852","https://openalex.org/W1930195566","https://openalex.org/W4287116713","https://openalex.org/W2534327835"],"abstract_inverted_index":{"The":[0],"use":[1],"of":[2,19,32,55,60,63],"Krylov":[3,64],"subspace":[4,65],"approaches,":[5],"based":[6],"on":[7],"the":[8,17,79],"Arnoldi":[9,56],"iteration,":[10],"has":[11],"become":[12],"a":[13],"preferred":[14],"technique":[15],"for":[16,58],"solution":[18],"several":[20],"medium":[21],"to":[22,68],"high":[23],"order":[24],"matrix":[25],"equations.":[26],"These":[27],"include":[28],"linear":[29],"algebraic":[30],"systems":[31],"equations":[33,41],"as":[34,36],"well":[35],"Riccati,":[37],"Lyapunov":[38],"and":[39],"Sylvester":[40],"encountered":[42],"in":[43,81,84],"control":[44],"systems.":[45],"In":[46],"this":[47],"paper":[48],"it":[49],"is":[50,75],"shown":[51],"that":[52,77],"existing":[53],"implementations":[54,82],"iteration":[57],"computation":[59],"orthogonal":[61],"basis":[62],"can":[66],"lead":[67],"erroneous":[69],"conclusions.":[70],"A":[71],"partial":[72],"pivoting":[73],"strategy":[74],"proposed":[76],"overcomes":[78],"pitfall":[80],"currently":[83],"use.":[85]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
