Can we characterize the wavelets through linear transformation? the answer for this question is certainly YES. In this paper we have characterized the Haar wavelet matrix by their linear transformation and proved some theorems on properties of Haar wavelet matrix such as Trace, eigenvalue and eigenvector and diagonalization of a matrix.

In this paper, we construct the Heisenberg–Virasoro algebra in framework of R(p,q)-deformed quantum algebras. Moreover, R(p,q)-Heisenberg–Witt n-algebras is also investigated. Furthermore, generalize notion elliptic Hermitian matrix models. We use constraints to evaluate R(p,q)-differential operators Virasoro and it higher order differential operators. Particular cases corresponding algebras ex...

Matrix functions are used in many areas of linear algebra and arise in numerical applications in science and engineering. In this paper, we introduce an effective approach for determining matrix function f(A)=g(q(A)) of a square matrix A, where q is a polynomial function from a degree of m and also function g can be a transcendental function. Computing a matrix function f(A) will be time- consu...

In this paper, we give the factorizations of Lucas and inverse matrices. We also investigate Cholesky factorization symmetric matrix. Moreover, obtain upper lower bounds for eigenvalues matrix by using some majorization techniques.