{"id":"https://openalex.org/W7165643618","doi":"https://doi.org/10.1016/j.cam.2026.117913","title":"Diagonally-reduced tensor-product polynomials: Dimensions and boundary\u2013diagonal matching","display_name":"Diagonally-reduced tensor-product polynomials: Dimensions and boundary\u2013diagonal matching","publication_year":2026,"publication_date":"2026-06-23","ids":{"openalex":"https://openalex.org/W7165643618","doi":"https://doi.org/10.1016/j.cam.2026.117913"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2026.117913","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117913","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.cam.2026.117913","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5139199955","display_name":"Domen Gradi\u0161ek","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Domen Gradi\u0161ek","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0002-0477-1702","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5069170254","display_name":"Jan Gro\u0161elj","orcid":"https://orcid.org/0000-0002-7246-4942"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jan Gro\u0161elj","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-7246-4942","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3040,"currency":"USD","value_usd":3040},"apc_paid":{"value":3040,"currency":"USD","value_usd":3040},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.81414474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"489","issue":null,"first_page":"117913","last_page":"117913"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.17890000343322754,"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"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.17890000343322754,"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"}},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.13050000369548798,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.07029999792575836,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/matching","display_name":"Matching (statistics)","score":0.47690001130104065},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.3012000024318695},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.25189998745918274},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.24250000715255737}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.852400004863739},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.47690001130104065},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38100001215934753},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.3012000024318695},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2955999970436096},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27480000257492065},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26440000534057617},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.25189998745918274},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.24250000715255737},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2370000034570694}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.cam.2026.117913","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117913","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:d.cobiss.net/repository/si:283106819","is_oa":true,"landing_page_url":"https://www.sciencedirect.com/science/article/pii/S0377042726005558","pdf_url":null,"source":{"id":"https://openalex.org/S7407055177","display_name":"dCOBISS.SI Digital Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"COBISS-ID: 27496960","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dirros.openscience.si:IzpisGradiva.php?id=30698","is_oa":true,"landing_page_url":"https://dirros.openscience.si/IzpisGradiva.php?id=30698","pdf_url":null,"source":{"id":"https://openalex.org/S4377196363","display_name":"DiRROS repository (University of Maribor)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I37696226","host_organization_name":"University of Maribor","host_organization_lineage":["https://openalex.org/I37696226"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0377-0427","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1016/j.cam.2026.117913","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117913","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322554","display_name":"Javna Agencija za Raziskovalno Dejavnost RS","ror":"https://ror.org/059bp8k51"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1993028754","https://openalex.org/W2121168715","https://openalex.org/W4312056363","https://openalex.org/W4402223714"],"related_works":[],"abstract_inverted_index":{"We":[0,50],"study":[1],"subspaces":[2],"of":[3,6,94],"tensor-product":[4],"polynomials":[5],"bi-degree":[7],"$(n,":[8],"n)$":[9],"on":[10,74,86],"the":[11,17,40,57,75,87,100],"unit":[12],"square":[13],"whose":[14],"restrictions":[15],"to":[16],"domain":[18],"diagonals":[19],"have":[20,45],"degree":[21,88],"reduced":[22],"by":[23,68],"an":[24],"integer":[25],"$k":[26,32],"le":[27],"n$.":[28],"For":[29,99],"maximal":[30],"reduction":[31,103],"=":[33],"n$,":[34],"these":[35],"diagonally-reduced":[36],"spaces":[37,43],"coincide":[38],"with":[39,90],"B\u00e9zier-Smart":[41],"surface":[42],"and":[44,55,77,97,110],"dimension":[46,53],"$n^2":[47],"+":[48],"2$.":[49],"derive":[51],"exact":[52],"formulas":[54,109],"solve":[56],"boundary-diagonal":[58],"matching":[59,108],"problem:":[60],"when":[61],"can":[62],"such":[63],"a":[64,69,83,91],"polynomial":[65,71],"be":[66],"replaced":[67],"total-degree":[70],"that":[72],"agrees":[73],"boundary":[76],"both":[78],"diagonals?":[79],"The":[80],"answer":[81],"is":[82],"sharp":[84],"threshold":[85],"parameters,":[89],"complete":[92],"characterisation":[93],"existence,":[95],"uniqueness,":[96],"non-uniqueness.":[98],"first":[101],"non-trivial":[102],"parameters":[104],"we":[105],"provide":[106],"explicit":[107],"closed-form":[111],"error":[112],"estimates":[113]},"counts_by_year":[],"updated_date":"2026-06-30T06:16:30.551410","created_date":"2026-06-24T00:00:00"}
