"This notebook walks you through how to implement $ x := U x $ where $ U $ is upper triangular. Vector $ y $ is not to be touched (and, indeed, not even passed into the routines). This is a little ...

College of Mathematics and Information Science, Shangqiu Normal University, Shangqiu, China. In the last decades considerable attention has been paid to upper triangular operator matrices, ...

Abstract: A matrix, in which most of the elements are present with zero values, is known as sparse matrix. Sparse matrices have many types in which lower and upper triangular matrices are often seen ...

Abstract: First, the paper gives the definition of the strongly row (column) full rank matrix, the quasi-upper triangular matrix and the quasi-lower triangular matrix of the m × n matrix. Then the ...

ABSTRACT: In [Perturbation of Spectrums of 2 × 2 Operator Matrices, Proceedings of the American Mathematical Society, Vol. 121, 1994], the authors asked whether there was an operator such that for a ...

Sufficient conditions are given for a real matrix to be similar to a positive matrix. This result is used to construct a similarity transformation which, when applied to a particular upper triangular ...

In the paper, the authors establish two identities to express higher order derivatives and integer powers of the generating function of the Chebyshev polynomials of the second kind in terms of integer ...