If the entries on the main diagonal of a upper or lower triangular matrix are all 1, the matrix is called upper or lower unitriangular. Strictly triangular matrix: If all of the entries on the main ...

Abstract: Dense matrix inversion is a basic procedure in many linear algebra algorithms. A computationally arduous step in most dense matrix inversion methods is the inversion of triangular matrices ...

#' @param group Character vector or factor containing categories to be represented as a pairwise binary matrix. Several observations per categories (at least some categories) are required. #' @param ...

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 ...

ABSTRACT: This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL ...

In this paper we develop a theory of t-cycle D - Z representations for s-dimensional lattice rules of prime-power order. Of particular interest are canonical forms which, by definition, have a ...