{"id":"https://openalex.org/W2585400251","doi":"https://doi.org/10.1145/3003733.3003750","title":"A note on the convergence rate of a class of Approximate Sparse Inverse Matrix Methods","display_name":"A note on the convergence rate of a class of Approximate Sparse Inverse Matrix Methods","publication_year":2016,"publication_date":"2016-11-10","ids":{"openalex":"https://openalex.org/W2585400251","doi":"https://doi.org/10.1145/3003733.3003750","mag":"2585400251"},"language":"en","primary_location":{"id":"doi:10.1145/3003733.3003750","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3003733.3003750","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 20th Pan-Hellenic Conference on Informatics","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/A5077744079","display_name":"Christos K. Filelis\u2010Papadopoulos","orcid":"https://orcid.org/0000-0002-6591-970X"},"institutions":[{"id":"https://openalex.org/I147962203","display_name":"Democritus University of Thrace","ror":"https://ror.org/03bfqnx40","country_code":"GR","type":"education","lineage":["https://openalex.org/I147962203"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"C. K. Filelis-Papadopoulos","raw_affiliation_strings":["Department of Electrical and Computer Engineering, School of Engineering, Democritus University of Thrace, University Campus, Kimmeria, GR, Xanthi, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, School of Engineering, Democritus University of Thrace, University Campus, Kimmeria, GR, Xanthi, Greece","institution_ids":["https://openalex.org/I147962203"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004595458","display_name":"George A. Gravvanis","orcid":"https://orcid.org/0000-0003-1562-3633"},"institutions":[{"id":"https://openalex.org/I147962203","display_name":"Democritus University of Thrace","ror":"https://ror.org/03bfqnx40","country_code":"GR","type":"education","lineage":["https://openalex.org/I147962203"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"G. A. Gravvanis","raw_affiliation_strings":["Department of Electrical and Computer Engineering, School of Engineering, Democritus University of Thrace, University Campus, Kimmeria, GR, Xanthi, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, School of Engineering, Democritus University of Thrace, University Campus, Kimmeria, GR, Xanthi, Greece","institution_ids":["https://openalex.org/I147962203"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040648881","display_name":"Elias A. Lipitakis","orcid":null},"institutions":[{"id":"https://openalex.org/I73142707","display_name":"Athens University of Economics and Business","ror":"https://ror.org/03s262162","country_code":"GR","type":"education","lineage":["https://openalex.org/I73142707"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"E. A. Lipitakis","raw_affiliation_strings":["Department of Informatics, Athens University of Economics and Business, GR, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, Athens University of Economics and Business, GR, Athens, Greece","institution_ids":["https://openalex.org/I73142707"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.17350056,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991000294685364,"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":0.9991000294685364,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9914000034332275,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9879000186920166,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.7360744476318359},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6447350978851318},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6171769499778748},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.6133577823638916},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5816307663917542},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5734822154045105},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.5611889362335205},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5380911231040955},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.5314233303070068},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5207629203796387},{"id":"https://openalex.org/keywords/sparse-approximation","display_name":"Sparse approximation","score":0.4104638695716858},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39485591650009155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37120521068573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31737008690834045},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1558215320110321},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.08803638815879822},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.08054262399673462}],"concepts":[{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.7360744476318359},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6447350978851318},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6171769499778748},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.6133577823638916},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5816307663917542},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5734822154045105},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.5611889362335205},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5380911231040955},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.5314233303070068},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5207629203796387},{"id":"https://openalex.org/C124066611","wikidata":"https://www.wikidata.org/wiki/Q28684319","display_name":"Sparse approximation","level":2,"score":0.4104638695716858},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39485591650009155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37120521068573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31737008690834045},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1558215320110321},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.08803638815879822},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.08054262399673462},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3003733.3003750","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3003733.3003750","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 20th Pan-Hellenic Conference on Informatics","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":25,"referenced_works":["https://openalex.org/W71378354","https://openalex.org/W435991227","https://openalex.org/W1976256539","https://openalex.org/W2007975598","https://openalex.org/W2014773097","https://openalex.org/W2026502086","https://openalex.org/W2038516134","https://openalex.org/W2044958044","https://openalex.org/W2060675257","https://openalex.org/W2061813658","https://openalex.org/W2064211634","https://openalex.org/W2067312367","https://openalex.org/W2074190947","https://openalex.org/W2079400692","https://openalex.org/W2106457025","https://openalex.org/W2110290705","https://openalex.org/W2127981460","https://openalex.org/W2147356439","https://openalex.org/W2151317657","https://openalex.org/W2151387975","https://openalex.org/W2165630134","https://openalex.org/W2171132194","https://openalex.org/W2282293358","https://openalex.org/W4230055019","https://openalex.org/W4230438171"],"related_works":["https://openalex.org/W2155025153","https://openalex.org/W4253880741","https://openalex.org/W2361205607","https://openalex.org/W4235544854","https://openalex.org/W1991081991","https://openalex.org/W2091883426","https://openalex.org/W3173235360","https://openalex.org/W2174948646","https://openalex.org/W2369649360","https://openalex.org/W2024017047"],"abstract_inverted_index":{"The":[0],"convergence":[1,45,68],"rate":[2,43],"of":[3,44,46,70],"the":[4,25,32,42,47,67,71,79],"preconditioned":[5],"Conjugate":[6],"Gradient":[7],"method,":[8],"based":[9],"on":[10,66],"Generic":[11,54],"Approximate":[12,55],"Sparse":[13,56],"Inverse":[14,57],"matrix":[15,58],"techniques,":[16],"is":[17],"examined":[18],"and":[19],"theoretical":[20,39,80],"estimates":[21,40],"are":[22,62,74],"given":[23],"for":[24,41],"computational":[26],"work":[27],"in":[28,51,75],"order":[29],"to":[30],"reduce":[31],"L\u221e-norm":[33],"by":[34],"a":[35],"factor":[36],"\u03f5.":[37],"Moreover,":[38],"two-grid":[48],"multigrid":[49],"method":[50],"conjunction":[52],"with":[53,78],"techniques":[59],"as":[60],"smoothers":[61],"presented.":[63],"Numerical":[64],"results":[65],"behaviour":[69],"proposed":[72],"methods":[73],"quantitative":[76],"agreement":[77],"estimates.":[81]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}