«pascal matrix»
۲۹۴ نتیجهGeneralized Pascal triangles and Toeplitz matrices
The purpose of this article is to study determinants of matrices which are known as generalized Pascal triangles (see R. Bacher. Determinants of matrices related to the Pascal triangle. J. Théor. Nombres Bordeaux, 14:19–41, 2002). This article presents a factorization by expressi
Sparse kronecker pascal measurement matrices for compressive imaging
Background: The construction of measurement matrix becomes a focus in compressed sensing (CS) theory. Although random matrices have been theoretically and practically shown to reconstruct signals, it is still necessary to study the more promising deterministic measurement matrix.
ar X iv : 0 90 1 . 25 97 v 1 [ m at h . R A ] 1 9 Ja n 20 09 GENERALIZED PASCAL TRIANGLES AND TÖEPLITZ MATRICES ∗
The purpose of this article is to study determinants of matrices which are known as generalized Pascal triangles (see [1]). We present a factorization by expressing such a matrix as a product of a unipotent lower triangular matrix, a Töeplitz matrix and a unipotent upper triangul
Pascal Matrices and Particular Solutions to Differential Equations
In this paper any non-homogeneous differential equation with constant coefficients is reduced to a matrix equation ~q = ~cP . For the discussion, ~q represents a matrix of constant coefficients to the differential equation, ~c a matrix of arbitrary constants to the solution, and
Pascal like matrices - an accessible factory of one source identities and resulting applications
Recently the author proposed two extensions of Pascal and q-Pascal matrices defined here also in the spirit of the Ward ”Calculus of sequences” [1] promoted in the framework of the ψFinite Operator Calculus [2,3] . Specifications to q-calculus case and Fibonomial calculus case ar
Laguerre Polynomials in Several Hypercomplex Variables and Their Matrix Representation
Recently the creation matrix, intimately related to the Pascal matrix and its generalizations, has been used to develop matrix representations of special polynomials, in particular Appell polynomials. In this paper we describe a matrix approach to polynomials in several hypercomp
Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices
In this paper, we consider the 2-generator $p$-groups of nilpotency class 2. We find the Fibonacci length and the period of the generalized order $k$--Pell sequences of these groups.
Schroder Matrix as Inverse of Delannoy Matrix
Using Riordan arrays, we introduce a generalized Delannoy matrix by weighted Delannoy numbers. It turn out that Delannoy matrix, Pascal matrix, and Fibonacci matrix are all special cases of the generalized Delannoy matrices, meanwhile Schröder matrix and Catalan matrix also arise
Identities via Bell matrix and Fibonacci matrix
In this paper, we study the relations between the Bell matrix and the Fibonacci matrix, which provide a unified approach to some lower triangular matrices, such as the Stirling matrices of both kinds, the Lah matrix, and the generalized Pascal matrix. To make the results more gen
Matrix methods for the simplicial Bernstein representation and for the evaluation of multivariate polynomials
In this paper, multivariate polynomials in the Bernstein basis over a simplex (simplicial Bernstein representation) are considered. Two matrix methods for the computation of the polynomial coefficients with respect to the Bernstein basis, the so-called Bernstein coefficients, are