{"id":"https://openalex.org/W2902062532","doi":"https://doi.org/10.1137/18m1205406","title":"Preconditioners for Symmetrized Toeplitz and Multilevel Toeplitz Matrices","display_name":"Preconditioners for Symmetrized Toeplitz and Multilevel Toeplitz Matrices","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2902062532","doi":"https://doi.org/10.1137/18m1205406","mag":"2902062532"},"language":"en","primary_location":{"id":"doi:10.1137/18m1205406","is_oa":true,"landing_page_url":"https://doi.org/10.1137/18m1205406","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1205406","source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1205406","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062815653","display_name":"Jennifer Pestana","orcid":"https://orcid.org/0000-0003-1527-3178"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"J. Pestana","raw_affiliation_strings":["University Of Strathclyde"],"raw_orcid":"https://orcid.org/0000-0003-1527-3178","affiliations":[{"raw_affiliation_string":"University Of Strathclyde","institution_ids":["https://openalex.org/I181647926"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062815653"],"corresponding_institution_ids":["https://openalex.org/I181647926"],"apc_list":null,"apc_paid":null,"fwci":0.2021,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50466425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"40","issue":"3","first_page":"870","last_page":"887"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9958999752998352,"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"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational 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/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.9763543009757996},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.7358991503715515},{"id":"https://openalex.org/keywords/levinson-recursion","display_name":"Levinson recursion","score":0.7144181728363037},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6742044687271118},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5070319175720215},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4783436954021454},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.46839475631713867},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3526499271392822},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3456783890724182},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3149101436138153},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17320707440376282},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07120698690414429}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.9763543009757996},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.7358991503715515},{"id":"https://openalex.org/C122212055","wikidata":"https://www.wikidata.org/wiki/Q11679774","display_name":"Levinson recursion","level":3,"score":0.7144181728363037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6742044687271118},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5070319175720215},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4783436954021454},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.46839475631713867},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3526499271392822},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3456783890724182},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3149101436138153},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17320707440376282},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07120698690414429},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/18m1205406","is_oa":true,"landing_page_url":"https://doi.org/10.1137/18m1205406","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1205406","source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:strathprints.strath.ac.uk:67569","is_oa":true,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/890806.html>","pdf_url":"https://strathprints.strath.ac.uk/67569/7/Pestana_SIAM_JMAA_2019_Preconditioners_for_symmetrized_Toeplitz_and_multilevel_Toeplitz.pdf","source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:arXiv.org:1812.02479","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1812.02479","pdf_url":"https://arxiv.org/pdf/1812.02479","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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:2902062532","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1812.02479.pdf","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":"doi:10.48550/arxiv.1812.02479","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1812.02479","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":"doi:10.1137/18m1205406","is_oa":true,"landing_page_url":"https://doi.org/10.1137/18m1205406","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/18M1205406","source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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 Matrix Analysis and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4361165789","display_name":null,"funder_award_id":"EP/R009821/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8166419689","display_name":"Effective preconditioners for linear systems in fractional diffusion","funder_award_id":"EP/R009821/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2902062532.pdf"},"referenced_works_count":47,"referenced_works":["https://openalex.org/W37139813","https://openalex.org/W131927403","https://openalex.org/W221829734","https://openalex.org/W323572456","https://openalex.org/W573934613","https://openalex.org/W648869842","https://openalex.org/W1511121222","https://openalex.org/W1533471646","https://openalex.org/W1946675375","https://openalex.org/W1969578814","https://openalex.org/W1971027140","https://openalex.org/W1975696503","https://openalex.org/W1977061454","https://openalex.org/W1999695483","https://openalex.org/W2003977554","https://openalex.org/W2004165073","https://openalex.org/W2004386400","https://openalex.org/W2008840379","https://openalex.org/W2009501332","https://openalex.org/W2018850201","https://openalex.org/W2021022552","https://openalex.org/W2026406497","https://openalex.org/W2035754138","https://openalex.org/W2044262951","https://openalex.org/W2045463928","https://openalex.org/W2051015700","https://openalex.org/W2054899953","https://openalex.org/W2055980435","https://openalex.org/W2062092992","https://openalex.org/W2063958688","https://openalex.org/W2078692435","https://openalex.org/W2080097309","https://openalex.org/W2087357655","https://openalex.org/W2092283499","https://openalex.org/W2097897435","https://openalex.org/W2107162131","https://openalex.org/W2114010261","https://openalex.org/W2140153041","https://openalex.org/W2143448435","https://openalex.org/W2179373226","https://openalex.org/W2316564661","https://openalex.org/W2346348409","https://openalex.org/W2610857016","https://openalex.org/W2623242547","https://openalex.org/W2685992850","https://openalex.org/W2903335383","https://openalex.org/W2905516468"],"related_works":["https://openalex.org/W2089941147","https://openalex.org/W2025635047","https://openalex.org/W1988604968","https://openalex.org/W1655735553","https://openalex.org/W2046382938","https://openalex.org/W2125935528","https://openalex.org/W1971500808","https://openalex.org/W2044825717","https://openalex.org/W3190961110","https://openalex.org/W980353770","https://openalex.org/W2105266774","https://openalex.org/W2334892907","https://openalex.org/W2078692435","https://openalex.org/W2086305952","https://openalex.org/W2674186696","https://openalex.org/W2990525287","https://openalex.org/W2269684655","https://openalex.org/W2062944942","https://openalex.org/W1983753638","https://openalex.org/W2360203399"],"abstract_inverted_index":{"When":[0],"solving":[1],"linear":[2],"systems":[3],"with":[4],"nonsymmetric":[5],"Toeplitz":[6,9,53],"or":[7],"multilevel":[8],"matrices":[10,54],"using":[11],"Krylov":[12],"subspace":[13],"methods,":[14],"the":[15,39,65,68],"coefficient":[16],"matrix":[17],"may":[18],"be":[19,27,45,77],"symmetrized.":[20],"The":[21],"preconditioned":[22,69],"MINRES":[23,42],"method":[24],"can":[25,76],"then":[26],"applied":[28],"to":[29,44],"this":[30],"symmetrized":[31,51],"system,":[32],"which":[33],"allows":[34],"rigorous":[35],"upper":[36],"bounds":[37],"on":[38],"number":[40],"of":[41,67],"iterations":[43],"obtained.":[46],"However,":[47],"effective":[48],"preconditioners":[49,75],"for":[50],"(multilevel)":[52],"are":[55],"lacking.":[56],"Here,":[57],"we":[58],"propose":[59],"novel":[60],"ideal":[61],"preconditioners,":[62],"and":[63,79],"investigate":[64],"spectra":[66],"matrices.":[70],"We":[71],"show":[72],"how":[73],"these":[74],"approximated":[78],"demonstrate":[80],"their":[81],"effectiveness":[82],"via":[83],"numerical":[84],"experiments.":[85]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-17T08:01:34.144755","created_date":"2025-10-10T00:00:00"}
