{"id":"https://openalex.org/W2852462476","doi":"https://doi.org/10.1109/lcsys.2018.2854238","title":"Inverse Free Kalman Filter Using Approximate Inverse of Diagonally Dominant Matrices","display_name":"Inverse Free Kalman Filter Using Approximate Inverse of Diagonally Dominant Matrices","publication_year":2018,"publication_date":"2018-07-09","ids":{"openalex":"https://openalex.org/W2852462476","doi":"https://doi.org/10.1109/lcsys.2018.2854238","mag":"2852462476"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2018.2854238","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2018.2854238","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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/A5013446219","display_name":"K. Subhash Babu","orcid":null},"institutions":[{"id":"https://openalex.org/I65181880","display_name":"Indian Institute of Technology Hyderabad","ror":"https://ror.org/01j4v3x97","country_code":"IN","type":"education","lineage":["https://openalex.org/I65181880"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"K. Subhash Babu","raw_affiliation_strings":["Indian Institute of Technology Hyderabad, Hyderabad, Telangana, IN"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Hyderabad, Hyderabad, Telangana, IN","institution_ids":["https://openalex.org/I65181880"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046494724","display_name":"Ketan P. Detroja","orcid":"https://orcid.org/0000-0002-0275-1911"},"institutions":[{"id":"https://openalex.org/I65181880","display_name":"Indian Institute of Technology Hyderabad","ror":"https://ror.org/01j4v3x97","country_code":"IN","type":"education","lineage":["https://openalex.org/I65181880"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ketan Detroja","raw_affiliation_strings":["Indian Institute of Technology Hyderabad, Hyderabad, Telangana, IN"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Hyderabad, Hyderabad, Telangana, IN","institution_ids":["https://openalex.org/I65181880"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013446219"],"corresponding_institution_ids":["https://openalex.org/I65181880"],"apc_list":null,"apc_paid":null,"fwci":0.9773,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.81777754,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"3","issue":"1","first_page":"120","last_page":"125"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11325","display_name":"Inertial Sensor and Navigation","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9869999885559082,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.8996063470840454},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.688391923904419},{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.6369434595108032},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.6178078651428223},{"id":"https://openalex.org/keywords/ensemble-kalman-filter","display_name":"Ensemble Kalman filter","score":0.6003389358520508},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.5884873270988464},{"id":"https://openalex.org/keywords/invariant-extended-kalman-filter","display_name":"Invariant extended Kalman filter","score":0.5640152096748352},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5244976878166199},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46779733896255493},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46245408058166504},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.459628701210022},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44628944993019104},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4142417311668396},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.4125463366508484},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1710890531539917},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07788154482841492},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07270929217338562}],"concepts":[{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.8996063470840454},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.688391923904419},{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.6369434595108032},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.6178078651428223},{"id":"https://openalex.org/C79334102","wikidata":"https://www.wikidata.org/wiki/Q3072268","display_name":"Ensemble Kalman filter","level":4,"score":0.6003389358520508},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.5884873270988464},{"id":"https://openalex.org/C8639503","wikidata":"https://www.wikidata.org/wiki/Q6059511","display_name":"Invariant extended Kalman filter","level":4,"score":0.5640152096748352},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5244976878166199},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46779733896255493},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46245408058166504},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.459628701210022},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44628944993019104},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4142417311668396},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.4125463366508484},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1710890531539917},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07788154482841492},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07270929217338562},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2018.2854238","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2018.2854238","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.6100000143051147}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1608044471","https://openalex.org/W1918848090","https://openalex.org/W2009360244","https://openalex.org/W2024705454","https://openalex.org/W2065489737","https://openalex.org/W2084913894","https://openalex.org/W2112055974","https://openalex.org/W2122512809","https://openalex.org/W2162345517","https://openalex.org/W2696506863","https://openalex.org/W2772201437","https://openalex.org/W2790374560","https://openalex.org/W2802494518","https://openalex.org/W3103557547","https://openalex.org/W3105013332"],"related_works":["https://openalex.org/W2737320860","https://openalex.org/W2788965013","https://openalex.org/W2621521991","https://openalex.org/W4206024512","https://openalex.org/W3123211304","https://openalex.org/W3149332717","https://openalex.org/W2768858086","https://openalex.org/W2150837402","https://openalex.org/W4327750154","https://openalex.org/W2053335193"],"abstract_inverted_index":{"Conventional":[0],"Kalman":[1,54],"filter":[2,55],"(KF)":[3],"requires":[4],"matrix":[5,67],"inversion.":[6,17],"But":[7],"the":[8,24,70,74,91,94,99],"pervasive":[9],"applications":[10],"of":[11,64,73,93,102],"KF":[12,75],"cannot":[13],"at":[14],"times":[15],"afford":[16],"Especially,":[18],"embedded":[19],"implementations":[20],"do":[21],"not":[22,112],"have":[23],"capabilities":[25],"to":[26,116],"compute":[27],"inverse":[28,52,63,84],"using":[29,78],"methods":[30],"such":[31],"as":[32],"Cholesky":[33],"decomposition.":[34],"For":[35],"large":[36],"matrices,":[37],"inversion":[38],"could":[39],"be":[40],"computationally":[41],"prohibitive":[42],"even":[43],"for":[44],"non-embedded":[45],"implementations.":[46],"To":[47],"address":[48],"this":[49,60],"problem,":[50],"an":[51],"free":[53],"(IFKF)":[56],"is":[57,76],"proposed":[58,103,109],"in":[59,69,90],"letter.":[61],"The":[62,82,108],"innovation":[65],"covariance":[66,101],"required":[68],"update":[71],"step":[72],"approximated":[77],"Taylor":[79],"series":[80],"expansion.":[81],"approximate":[83],"has":[85],"a":[86],"closed":[87],"form":[88],"expression":[89],"elements":[92],"original":[95],"matrix.":[96],"Bounds":[97],"on":[98],"error":[100],"IFKF":[104,110],"are":[105],"also":[106],"established.":[107],"does":[111],"require":[113],"any":[114],"iterations":[115],"converge.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
