{"id":"https://openalex.org/W2990368825","doi":"https://doi.org/10.1007/s11075-019-00862-z","title":"Geometrical inverse matrix approximation for least-squares problems and acceleration strategies","display_name":"Geometrical inverse matrix approximation for least-squares problems and acceleration strategies","publication_year":2020,"publication_date":"2020-01-08","ids":{"openalex":"https://openalex.org/W2990368825","doi":"https://doi.org/10.1007/s11075-019-00862-z","mag":"2990368825"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-019-00862-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00862-z","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1902.08388","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034765003","display_name":"Jean\u2010Paul Chehab","orcid":"https://orcid.org/0000-0003-2193-6863"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210163673","display_name":"Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e","ror":"https://ror.org/04smxbm79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210141950","https://openalex.org/I4210163673","https://openalex.org/I4647051"]},{"id":"https://openalex.org/I4647051","display_name":"Universit\u00e9 de Picardie Jules Verne","ror":"https://ror.org/01gyxrk03","country_code":"FR","type":"education","lineage":["https://openalex.org/I4647051"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Paul Chehab","raw_affiliation_strings":["LAMFA, UMR CNRS, 7352, Universit\u00e9 de Picardie Jules Verne, 33 rue Saint Leu, 80039, Amiens, France","LAMFA, UMR CNRS, Amiens, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMFA, UMR CNRS, 7352, Universit\u00e9 de Picardie Jules Verne, 33 rue Saint Leu, 80039, Amiens, France","institution_ids":["https://openalex.org/I4647051","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LAMFA, UMR CNRS, Amiens, France","institution_ids":["https://openalex.org/I4210163673","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049891878","display_name":"Marcos Raydan","orcid":"https://orcid.org/0000-0003-0417-7981"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marcos Raydan","raw_affiliation_strings":["Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es (CMA), FCT, UNL, 2829-516, Caparica, Portugal","Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es (CMA), FCT, UNL, Caparica, Portugal"],"raw_orcid":"https://orcid.org/0000-0003-0417-7981","affiliations":[{"raw_affiliation_string":"Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es (CMA), FCT, UNL, 2829-516, Caparica, Portugal","institution_ids":[]},{"raw_affiliation_string":"Centro de Matem\u00e1tica e Aplica\u00e7\u00f5es (CMA), FCT, UNL, Caparica, Portugal","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034765003"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210163673","https://openalex.org/I4647051"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02835488,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"85","issue":"4","first_page":"1213","last_page":"1231"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9975000023841858,"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"}},{"id":"https://openalex.org/T13487","display_name":"Statistical and numerical algorithms","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.7848348617553711},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.7435451745986938},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5805654525756836},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5740706920623779},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5700118541717529},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5692784190177917},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5561658143997192},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5554437041282654},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5471349358558655},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5303122997283936},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5026094913482666},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4797164797782898},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.43271735310554504},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41245919466018677},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40937069058418274},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30047330260276794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24952885508537292},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1263027787208557},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08390018343925476},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06933486461639404}],"concepts":[{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.7848348617553711},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.7435451745986938},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5805654525756836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5740706920623779},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5700118541717529},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5692784190177917},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5561658143997192},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5554437041282654},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5471349358558655},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5303122997283936},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5026094913482666},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4797164797782898},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.43271735310554504},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41245919466018677},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40937069058418274},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30047330260276794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24952885508537292},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1263027787208557},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08390018343925476},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06933486461639404},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s11075-019-00862-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-019-00862-z","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1902.08388","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.08388","pdf_url":"https://arxiv.org/pdf/1902.08388","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2990368825","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1902.08388","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-03621846v1","is_oa":false,"landing_page_url":"https://u-picardie.hal.science/hal-03621846","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Numerical Algorithms, 2020, 85 (4), pp.1213-1231. ⟨10.1007/s11075-019-00862-z⟩","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.1902.08388","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1902.08388","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1902.08388","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.08388","pdf_url":"https://arxiv.org/pdf/1902.08388","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3277744715","display_name":null,"funder_award_id":"UID/MAT/00297/2019 (CMA)","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1530695493","https://openalex.org/W1859634276","https://openalex.org/W1966801132","https://openalex.org/W1968789097","https://openalex.org/W1972354041","https://openalex.org/W1973401146","https://openalex.org/W1977318272","https://openalex.org/W1980177911","https://openalex.org/W1984000056","https://openalex.org/W1986294906","https://openalex.org/W1987068322","https://openalex.org/W1995313554","https://openalex.org/W1999086185","https://openalex.org/W2004461831","https://openalex.org/W2019183600","https://openalex.org/W2028172459","https://openalex.org/W2037192261","https://openalex.org/W2038281434","https://openalex.org/W2043216841","https://openalex.org/W2055765841","https://openalex.org/W2061903618","https://openalex.org/W2071909171","https://openalex.org/W2079361963","https://openalex.org/W2079465522","https://openalex.org/W2081359017","https://openalex.org/W2131331606","https://openalex.org/W2140163944","https://openalex.org/W2154904088","https://openalex.org/W2163392119","https://openalex.org/W2286127908","https://openalex.org/W2292441907","https://openalex.org/W2324969825","https://openalex.org/W2329996474","https://openalex.org/W2560488944","https://openalex.org/W2739680746","https://openalex.org/W2789764089","https://openalex.org/W2886987088","https://openalex.org/W2888051195","https://openalex.org/W2962938426"],"related_works":["https://openalex.org/W3000692571","https://openalex.org/W2806213358","https://openalex.org/W1965397948","https://openalex.org/W2144287108","https://openalex.org/W643134439","https://openalex.org/W2564355482","https://openalex.org/W2188106035","https://openalex.org/W2950443593","https://openalex.org/W2006882211","https://openalex.org/W3039665914","https://openalex.org/W3002683249","https://openalex.org/W2106349788","https://openalex.org/W1648518006","https://openalex.org/W49437795","https://openalex.org/W2923099776","https://openalex.org/W1967131625","https://openalex.org/W3137272863","https://openalex.org/W1972065056","https://openalex.org/W3100151693","https://openalex.org/W2130284218"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}