{"id":"https://openalex.org/W4401337191","doi":"https://doi.org/10.1007/s10208-024-09671-w","title":"Polynomial and Rational Measure Modifications of Orthogonal Polynomials via Infinite-Dimensional Banded Matrix Factorizations","display_name":"Polynomial and Rational Measure Modifications of Orthogonal Polynomials via Infinite-Dimensional Banded Matrix Factorizations","publication_year":2024,"publication_date":"2024-08-05","ids":{"openalex":"https://openalex.org/W4401337191","doi":"https://doi.org/10.1007/s10208-024-09671-w"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-024-09671-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-024-09671-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10208-024-09671-w.pdf","source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10208-024-09671-w.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064837586","display_name":"Timon S. Gutleb","orcid":"https://orcid.org/0000-0002-8239-2372"},"institutions":[{"id":"https://openalex.org/I141945490","display_name":"University of British Columbia","ror":"https://ror.org/03rmrcq20","country_code":"CA","type":"education","lineage":["https://openalex.org/I141945490"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Timon S. Gutleb","raw_affiliation_strings":["Department of Mathematics, University of British Columbia, Vancouver, BC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of British Columbia, Vancouver, BC, Canada","institution_ids":["https://openalex.org/I141945490"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010027385","display_name":"Sheehan Olver","orcid":"https://orcid.org/0000-0001-6920-0826"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Sheehan Olver","raw_affiliation_strings":["Department of Mathematics, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028926429","display_name":"Richard Mika\u00ebl Slevinsky","orcid":null},"institutions":[{"id":"https://openalex.org/I872945872","display_name":"University of Winnipeg","ror":"https://ror.org/02gdzyx04","country_code":"CA","type":"education","lineage":["https://openalex.org/I872945872"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Richard Mika\u00ebl Slevinsky","raw_affiliation_strings":["Department of Mathematics, Winnipeg, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Winnipeg, Canada","institution_ids":["https://openalex.org/I872945872"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5010027385"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.9449,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.77707285,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"25","issue":"5","first_page":"1463","last_page":"1505"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9988999962806702,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9962000250816345,"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/mathematics","display_name":"Mathematics","score":0.8500479459762573},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.7105806469917297},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5777650475502014},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.48618239164352417},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.4694974720478058},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.465433269739151},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.41660332679748535},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4029063880443573},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4008425772190094},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3530689477920532},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26354554295539856}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8500479459762573},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.7105806469917297},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5777650475502014},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48618239164352417},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.4694974720478058},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.465433269739151},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.41660332679748535},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4029063880443573},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4008425772190094},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3530689477920532},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26354554295539856},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10208-024-09671-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-024-09671-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10208-024-09671-w.pdf","source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s10208-024-09671-w","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10208-024-09671-w","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10208-024-09671-w.pdf","source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1119130631","display_name":"Spectral element methods for fractional differential equations, with applications in applied analysis and medical imaging","funder_award_id":"EP/T022132/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G4719048210","display_name":null,"funder_award_id":"RGPIN-2017","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G7050360088","display_name":null,"funder_award_id":"RPG-2019-144","funder_id":"https://openalex.org/F4320319993","funder_display_name":"Leverhulme Trust"},{"id":"https://openalex.org/G7742257476","display_name":null,"funder_award_id":"EP/T022132/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320319993","display_name":"Leverhulme Trust","ror":"https://ror.org/012mzw131"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4401337191.pdf","grobid_xml":"https://content.openalex.org/works/W4401337191.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W253307310","https://openalex.org/W1497459357","https://openalex.org/W1550150926","https://openalex.org/W1570370571","https://openalex.org/W1593505867","https://openalex.org/W1601581883","https://openalex.org/W1964694549","https://openalex.org/W1988742704","https://openalex.org/W1990533860","https://openalex.org/W1995603386","https://openalex.org/W2003673083","https://openalex.org/W2007100483","https://openalex.org/W2009849678","https://openalex.org/W2013943932","https://openalex.org/W2016995179","https://openalex.org/W2023379490","https://openalex.org/W2026614141","https://openalex.org/W2029260360","https://openalex.org/W2039396925","https://openalex.org/W2040413248","https://openalex.org/W2044050194","https://openalex.org/W2052447621","https://openalex.org/W2063132099","https://openalex.org/W2066826590","https://openalex.org/W2068691075","https://openalex.org/W2077843113","https://openalex.org/W2078988454","https://openalex.org/W2080347612","https://openalex.org/W2080497978","https://openalex.org/W2102182691","https://openalex.org/W2122238092","https://openalex.org/W2130010995","https://openalex.org/W2141880610","https://openalex.org/W2171692351","https://openalex.org/W2560261741","https://openalex.org/W2946298828","https://openalex.org/W2962716964","https://openalex.org/W2971425016","https://openalex.org/W2979698275","https://openalex.org/W3009760708","https://openalex.org/W3010641450","https://openalex.org/W3019469558","https://openalex.org/W3034251501","https://openalex.org/W3098594427","https://openalex.org/W3109089832","https://openalex.org/W3202171869","https://openalex.org/W3212888109","https://openalex.org/W4239944256","https://openalex.org/W4245492582","https://openalex.org/W4300681438","https://openalex.org/W4320800818","https://openalex.org/W4382472044","https://openalex.org/W6600914189","https://openalex.org/W6602024299","https://openalex.org/W6630467700"],"related_works":["https://openalex.org/W1489986405","https://openalex.org/W2382784327","https://openalex.org/W2140446896","https://openalex.org/W2335071938","https://openalex.org/W2023818677","https://openalex.org/W1973507931","https://openalex.org/W2056024401","https://openalex.org/W2149734642","https://openalex.org/W3216258873","https://openalex.org/W2185931218"],"abstract_inverted_index":{"Abstract":[0],"We":[1,81],"describe":[2],"fast":[3],"algorithms":[4],"for":[5],"approximating":[6],"the":[7,42,53],"connection":[8,27],"coefficients":[9,28],"between":[10],"a":[11,20],"family":[12,18,57],"of":[13,58,97],"orthogonal":[14,59,79],"polynomials":[15,60],"and":[16,36,85],"another":[17],"with":[19,50,61,76],"polynomially":[21],"or":[22],"rationally":[23],"modified":[24,43,62,77],"measure.":[25],"The":[26],"are":[29],"computed":[30],"via":[31],"infinite-dimensional":[32],"banded":[33,69],"matrix":[34],"factorizations":[35],"may":[37],"be":[38],"used":[39],"to":[40,52],"compute":[41],"Jacobi":[44],"matrices":[45],"all":[46],"in":[47],"linear":[48],"complexity":[49],"respect":[51],"truncation":[54],"degree.":[55],"A":[56],"classical":[63,78],"weights":[64],"is":[65],"constructed":[66],"that":[67],"support":[68],"differentiation":[70],"matrices,":[71],"enabling":[72],"sparse":[73],"spectral":[74],"methods":[75],"polynomials.":[80],"present":[82],"several":[83],"applications":[84],"numerical":[86],"experiments":[87],"using":[88],"an":[89],"open":[90],"source":[91],"implementation":[92],"which":[93],"make":[94],"direct":[95],"use":[96],"these":[98],"results.":[99]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}