EXPLICIT MOORE-PENROSE INVERSE AND GROUP INVERSE OF DOUBLY LESLIE MATRIX

W. Wanicharpichat
2016 International Journal of Pure and Applied Mathematics  
A doubly Leslie matrix is a bordered real matrix of the form where 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.
doi:10.12732/ijpam.v109i4.17 fatcat:4npe2hp6h5ei7kzkqqzifgh7ra