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J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2025,1]]},"abstract":"<jats:p> In this paper, we characterize the convergence of the multivariate cascade algorithm with an [Formula: see text] dilation matrix [Formula: see text] and a nonnegative finite mask, which generalizes the result obtained recently. Moreover, we present two examples, which demonstrate the power and applicability of our main result. <\/jats:p>","DOI":"10.1142\/s0219691324500504","type":"journal-article","created":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T07:45:02Z","timestamp":1726040702000},"source":"Crossref","is-referenced-by-count":0,"title":["Characterization of the convergent multivariate nonnegative cascade algorithm with a dilation matrix"],"prefix":"10.1142","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4939-5133","authenticated-orcid":false,"given":"Li","family":"Cheng","sequence":"first","affiliation":[{"name":"Department of Mathematics, Lishui University, 323000 Lishui, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-2148-5889","authenticated-orcid":false,"given":"Xufa","family":"Fang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Lishui University, 323000 Lishui, P. R. 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