EXPLICIT MOORE-PENROSE INVERSE AND GROUP INVERSE OF DOUBLY LESLIE MATRIX
Wiwat Wanicharpichat · International Journal of Pure and Apllied Mathematics · 2016
A doubly Leslie matrix is a bordered real matrix of the formwhere an, bn ∈ R, p, q ∈ R n-1 , and Λ = diag(s1, s2, . . ., sn-1) is a diagonal matrix of order n -1.The matrix L is a closed form of a doubly companion matrix, a Leslie matrix and a companion matrix.This paper is discussed the explicit formula of the Moore-Penrose inverse and the group inverse of the doubly leslie matrix.In general the Moore-Penrose inverse of a rectangle doubly Leslie matrix is also discussed.