{"id":"https://openalex.org/W2108558656","doi":"https://doi.org/10.1007/3-540-45262-1_19","title":"Preliminary Remarks on Multigrid Methods for Circulant Matrices","display_name":"Preliminary Remarks on Multigrid Methods for Circulant Matrices","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2108558656","doi":"https://doi.org/10.1007/3-540-45262-1_19","mag":"2108558656"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45262-1_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45262-1_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5053268193","display_name":"Stefano Serra\u2010Capizzano","orcid":"https://orcid.org/0000-0001-9477-109X"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Stefano Serra Capizzano","raw_affiliation_strings":["Dipartimento di Energetica \u201cS. Stecco\u201d, Universit\u00e0 di Firenze, Via Lombroso 6/17, 50134, Firenze, Italy","Dipartimento di Energetica \"S. Stecco\", Universit\u00e0 di Firenze, Via Lombroso 6/17, 50134, Firenze, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Energetica \u201cS. Stecco\u201d, Universit\u00e0 di Firenze, Via Lombroso 6/17, 50134, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Dipartimento di Energetica \"S. Stecco\", Universit\u00e0 di Firenze, Via Lombroso 6/17, 50134, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015375692","display_name":"Cristina Tablino\u2013Possio","orcid":"https://orcid.org/0000-0003-1424-2767"},"institutions":[{"id":"https://openalex.org/I66752286","display_name":"University of Milano-Bicocca","ror":"https://ror.org/01ynf4891","country_code":"IT","type":"education","lineage":["https://openalex.org/I66752286"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Cristina Tablino Possio","raw_affiliation_strings":["Dipartimento di Scienza dei Materiali, Universit`a di Milano Bicocca, Via Cozzi 53, 20125, Milano, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienza dei Materiali, Universit`a di Milano Bicocca, Via Cozzi 53, 20125, Milano, Italy","institution_ids":["https://openalex.org/I66752286"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053268193"],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.0347,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.95205274,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"152","last_page":"159"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9993000030517578,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.8880142569541931},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.835494875907898},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.8275618553161621},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5403952598571777},{"id":"https://openalex.org/keywords/condition-number","display_name":"Condition number","score":0.5365232825279236},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.525467038154602},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49417737126350403},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4603024125099182},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45839983224868774},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.4551659822463989},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.44393423199653625},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4106605052947998},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39526617527008057},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.33866384625434875},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.27918338775634766},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26912203431129456},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21840974688529968}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.8880142569541931},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.835494875907898},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.8275618553161621},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5403952598571777},{"id":"https://openalex.org/C84545080","wikidata":"https://www.wikidata.org/wiki/Q1147936","display_name":"Condition number","level":3,"score":0.5365232825279236},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.525467038154602},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49417737126350403},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4603024125099182},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45839983224868774},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.4551659822463989},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.44393423199653625},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4106605052947998},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39526617527008057},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.33866384625434875},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.27918338775634766},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26912203431129456},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21840974688529968},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-45262-1_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45262-1_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:boa.unimib.it:10281/265","is_oa":false,"landing_page_url":"http://hdl.handle.net/10281/265","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"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":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.5}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W126699582","https://openalex.org/W152326368","https://openalex.org/W1577199596","https://openalex.org/W1769751707","https://openalex.org/W1970334228","https://openalex.org/W1976865075","https://openalex.org/W2005041367","https://openalex.org/W2033285636","https://openalex.org/W2034472087","https://openalex.org/W2039206656","https://openalex.org/W2054781018","https://openalex.org/W2057439610","https://openalex.org/W2077695672","https://openalex.org/W2080097309","https://openalex.org/W2082509218","https://openalex.org/W2086517326","https://openalex.org/W2089598668","https://openalex.org/W2108558656","https://openalex.org/W2128290902","https://openalex.org/W2138152282","https://openalex.org/W4230055019","https://openalex.org/W6605101284"],"related_works":["https://openalex.org/W4389317411","https://openalex.org/W1492522302","https://openalex.org/W1965665088","https://openalex.org/W2159515580","https://openalex.org/W2096454229","https://openalex.org/W2042199958","https://openalex.org/W2120298265","https://openalex.org/W2081820376","https://openalex.org/W2103149966","https://openalex.org/W2080097309"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
