{"id":"https://openalex.org/W1992931677","doi":"https://doi.org/10.1137/0916037","title":"Fast Multiresolution Algorithms for Solving Linear Equations: A Comparative Study","display_name":"Fast Multiresolution Algorithms for Solving Linear Equations: A Comparative Study","publication_year":1995,"publication_date":"1995-05-01","ids":{"openalex":"https://openalex.org/W1992931677","doi":"https://doi.org/10.1137/0916037","mag":"1992931677"},"language":"en","primary_location":{"id":"doi:10.1137/0916037","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0916037","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","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/A5076094492","display_name":"Francesc Ar\u00e0ndiga","orcid":"https://orcid.org/0000-0001-9228-4159"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Francesc Arandiga","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079699910","display_name":"Vicente F. Candela","orcid":"https://orcid.org/0000-0002-3315-4159"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vicente F. Candela","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5043421446","display_name":"Rosa Donat","orcid":"https://orcid.org/0000-0003-0428-447X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rosa Donat","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9467,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.90932157,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"16","issue":"3","first_page":"581","last_page":"600"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9923999905586243,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/orthonormal-basis","display_name":"Orthonormal basis","score":0.8238467574119568},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7619919776916504},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.6819589138031006},{"id":"https://openalex.org/keywords/multiresolution-analysis","display_name":"Multiresolution analysis","score":0.6654661893844604},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6198965311050415},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.47064536809921265},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4552951157093048},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4117196202278137},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.23139718174934387},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.22109633684158325},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21144673228263855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16856497526168823},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14832854270935059}],"concepts":[{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.8238467574119568},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7619919776916504},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.6819589138031006},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.6654661893844604},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6198965311050415},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.47064536809921265},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4552951157093048},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4117196202278137},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.23139718174934387},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.22109633684158325},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21144673228263855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16856497526168823},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14832854270935059},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0916037","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0916037","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1985307809","https://openalex.org/W1993102673","https://openalex.org/W2032835894","https://openalex.org/W2036144352","https://openalex.org/W2062868613","https://openalex.org/W2080803508","https://openalex.org/W2092841779","https://openalex.org/W2094585768","https://openalex.org/W2098914003","https://openalex.org/W3005363104","https://openalex.org/W4251619700"],"related_works":["https://openalex.org/W1975945902","https://openalex.org/W2392110000","https://openalex.org/W953696202","https://openalex.org/W2480550579","https://openalex.org/W2385765935","https://openalex.org/W2951000810","https://openalex.org/W2040760337","https://openalex.org/W2032074140","https://openalex.org/W4246648935","https://openalex.org/W2168986779"],"abstract_inverted_index":{"In":[0],"[G.":[1],"Beylkin,":[2],"R.":[3],"Coifman,":[4],"and":[5,16,21,35,107],"V.":[6],"Rokhlin,":[7],"Comm.":[8],"Pure":[9],"Appl.":[10,93],"Math.,":[11,95],"XLIV":[12],"(1991),":[13],"PP.":[14],"141\u2013183]":[15],"[B.":[17],"Engquist,":[18],"S.":[19,22],"Osher,":[20],"Zhong,":[23],"SIAM":[24],"J.":[25],"Sci.":[26],"Comput.,":[27],"15":[28],"(1994),":[29],"pp.":[30,98],"755\u2013775],":[31],"orthonormal":[32],"wavelet":[33],"basis":[34],"the":[36,47,52,84,101,105,112],"multiscale":[37],"analysis":[38,87],"they":[39],"define":[40],"are":[41],"used":[42],"as":[43,70,100],"building":[44,102],"blocks":[45],"in":[46,91,104],"design":[48],"of":[49,56,59],"algorithms":[50,66,106],"for":[51,73],"rapid":[53],"numerical":[54],"application":[55],"a":[57,71],"number":[58],"linear":[60],"operators":[61],"to":[62,79],"arbitrary":[63],"vectors.":[64],"The":[65],"may":[67],"be":[68],"viewed":[69],"method":[72],"converting":[74],"(whenever":[75],"possible)":[76],"dense":[77],"matrices":[78],"sparse":[80],"form.":[81],"We":[82],"use":[83],"discrete":[85],"multiresolution":[86],"described":[88],"by":[89],"Harten":[90],"[J.":[92],"Numer":[94],"12":[96],"(1993),":[97],"153\u2013193]":[99],"block":[103],"compare":[108],"their":[109],"performance":[110],"with":[111],"wavelet-based":[113],"ones.":[114],"Computationally,":[115],"both":[116],"techniques":[117],"give":[118],"comparable":[119],"results.":[120]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}