{"id":"https://openalex.org/W2099164405","doi":"https://doi.org/10.1109/icassp.1983.1172178","title":"Efficient inversion of doubly block Toeplitz matrix","display_name":"Efficient inversion of doubly block Toeplitz matrix","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W2099164405","doi":"https://doi.org/10.1109/icassp.1983.1172178","mag":"2099164405"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1983.1172178","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1983.1172178","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '83. IEEE International Conference on Acoustics, Speech, and Signal Processing","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/A5061391617","display_name":"M. Wax","orcid":"https://orcid.org/0000-0002-4057-8478"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Wax","raw_affiliation_strings":["Information Systems Laboratory, University of Stanford, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, University of Stanford, Stanford, CA, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014088470","display_name":"T. Kailath","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T. Kailath","raw_affiliation_strings":["Information Systems Laboratory, University of Stanford, Stanford, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, University of Stanford, Stanford, CA, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9977,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77924999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"8","issue":null,"first_page":"170","last_page":"173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9941999912261963,"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":0.9941999912261963,"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":0.9659000039100647,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9283000230789185,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.9389705657958984},{"id":"https://openalex.org/keywords/akaike-information-criterion","display_name":"Akaike information criterion","score":0.8269872069358826},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5956650376319885},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5687007308006287},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5405373573303223},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.5340684056282043},{"id":"https://openalex.org/keywords/levinson-recursion","display_name":"Levinson recursion","score":0.5302075147628784},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5194975137710571},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47001340985298157},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.395468145608902},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35291558504104614},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1432231366634369},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06927704811096191},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.055876970291137695}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.9389705657958984},{"id":"https://openalex.org/C126674687","wikidata":"https://www.wikidata.org/wiki/Q1662573","display_name":"Akaike information criterion","level":2,"score":0.8269872069358826},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5956650376319885},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5687007308006287},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5405373573303223},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.5340684056282043},{"id":"https://openalex.org/C122212055","wikidata":"https://www.wikidata.org/wiki/Q11679774","display_name":"Levinson recursion","level":3,"score":0.5302075147628784},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5194975137710571},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47001340985298157},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.395468145608902},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35291558504104614},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1432231366634369},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06927704811096191},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.055876970291137695},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1983.1172178","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1983.1172178","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '83. IEEE International Conference on Acoustics, Speech, and Signal Processing","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":8,"referenced_works":["https://openalex.org/W1996736088","https://openalex.org/W2031887434","https://openalex.org/W2035067052","https://openalex.org/W2037907125","https://openalex.org/W2095018839","https://openalex.org/W2098170360","https://openalex.org/W2147155095","https://openalex.org/W2326591006"],"related_works":["https://openalex.org/W2045714585","https://openalex.org/W1987843132","https://openalex.org/W2374553943","https://openalex.org/W1654107233","https://openalex.org/W2182312572","https://openalex.org/W2201692517","https://openalex.org/W2383680446","https://openalex.org/W1981369412","https://openalex.org/W1899462749","https://openalex.org/W856465872"],"abstract_inverted_index":{"An":[0],"iterative":[1,58],"algorithm":[2,26,40,55],"for":[3,56],"the":[4,29,32],"inversion":[5],"of":[6,13,18,31,44,53,60,66],"a":[7,42,61],"doubly":[8,33,62],"block":[9,34,63],"Toeplitz":[10,35,64],"matrix":[11,36],"consisting":[12],"m":[14,16],"\u00d7":[15,21],"blocks":[17],"size":[19],"p":[20,22],"is":[23,69],"described.":[24],"The":[25,51],"presented":[27],"exploits":[28],"structure":[30],"and":[37],"outperforms":[38],"Akaike's":[39],"by":[41],"factor":[43],"<tex":[45],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[46],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\\max":[47],"{2":[48],"\\frac{p}{m},2}</tex>":[49],".":[50],"use":[52],"this":[54],"an":[57],"solution":[59],"set":[65],"linear":[67],"equations":[68],"also":[70],"presented.":[71]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
