On inverse and generalized inverses of Hessenberg matrices
New algorithms for computing inverses and generalized inverses of a class of real Hessenberg matrices are given. The simple structure of the inverses and the generalized inverses satisfying one, several or even all of the Penrose equations are established. The method of inverting a block triangular matrix and the proposed algorithms are used to compute the inverse or the generalized inverse of the Hessenberg matrix.
scientific article; zbMATH DE number 4062473