A unified approach to generalized Pascal-like matrices: q-analysis
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Inc.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we present a general method to construct q-analogues and other generalizations of Pascal-like matrices. Our matrices are obtained as functions of strictly lower triangular matrices and include several types of generalized Pascal-like matrices and matrices related with modified Hermite polynomials of two variables and other polynomial sequences. We find explicit expressions for products, powers, and inverses of the matrices and also some factorization formulas using this method. © 2023 Elsevier Inc.
Açıklama
Anahtar Kelimeler
Hermite polynomials; Matrix factorizations; Pascal-like matrix; q-Pascal matrix; Toeplitz matrix
Kaynak
Linear Algebra and Its Applications
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
673