1. Introduction. The Moore-Penrose generalized inverse of a matrix was introduced by EH
Moore [1] as the" general reciprocal" of a matrix, and by Penrose [2] as the" generalized …

The definition of the Drazin inverse of a square matrix with complex elements is extended to
rectangular matrices by showing that for any B and W,m by n and n by m, respectively, there …

Generalized inverse representations are developed for solutions of the matrix equations
AXAA and X AX X. It is shown that both the Scroggs-Odell pseudoinverse of a matrix and the …

1. Introduction. In this paper we consider two types of inverses asso-ciated with powers of
square complex matrices. These inverses exist and are unique for every power of a matrix A*, …

Various representations are given to characterize the rank of A-S in terms of rank A+k where
A and S are arbitrary complex matrices and k is a function of A and S. It is shown that if S=…

(1.1) AXA A, XAX= X,(AX)*= AX,(XA)*= XA for every matrix A with complex elements. This
solution is called the generalized inverse of A and is writtenas X At. Representations for the …

Various algorithms for obtaining minimal $l_2 $-solutions to consistent linear systems of
equations $Ax = y$ are discussed. These algorithms are based upon factorizations of matrices, A…

Background: Using a self-service kiosk to measure blood pressure (BP) has the potential to
increase patients' awareness of their BP control and free up medical assistant (MA) time. The …

Preface. 1. INTRODUCTION 1.1 Preliminary Remarks 1.2 Matrix Notation and Terminology
1.3 A Rationale for Generalized Inverses 2. SYSTEMS OF EQUATIONS AND THE MOORE-…

A characterization of a class of persymmetric matrices having Toeplitz inverses is obtained
and an algorithm is developed to test for the existence of such an inverse and to construct …