AbstractThe 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 exists a unique matrix, X, such that (BW)k=(BW)k+1XW for some positive integer k, XWBWX = X, and BWX = XWB. Various expressions satisfied by B, W,X and related matrices are developed
[EN] After decades studying extensively two generalized inverses, namely Moore--Penrose inverse and ...
AbstractLet P, Q, R and S be complex square matrices and M=P+Q+R+S. A quadruple (P,Q,R,S) is called ...
AbstractIn this short paper, we offer (another) formula for the Drazin inverse of an operator matrix...
AbstractThe definition of the Drazin inverse of a square matrix with complex elements is extended to...
AbstractIn this paper we give a formula for the Drazin inverse of a block matrix F=IIE0, where E is ...
In this paper, the result are established in the following four ways: First, we present a general re...
In this paper, the result are established in the following four ways: First, we present a general re...
AbstractIn 1979, Campbell and Meyer proposed the problem of finding a formula for the Drazin inverse...
The main contribution of this paper is to develop explicit expressions for the Drazin inverse of two...
Consider a 2×2 block complex square matrix M=[ABCD], where A and D are square matrices. Suppose th...
AbstractA characterization of nonnegative matrices which have a nonnegative Drazin inverse is given....
In 1979, Campbell and Meyer proposed the problem of finding a formula for the Drazin inverse of a 2 ...
Characterizations are given for existence of the Drazin inverse of a matrix over an arbitrary ring. ...
[EN] The Drazin inverse of a matrix has been used in the literature to define a pre-order on the se...
Given a square matrix A and its perturbation matrix E, a new expression for the Drazin inverse BD of...
[EN] After decades studying extensively two generalized inverses, namely Moore--Penrose inverse and ...
AbstractLet P, Q, R and S be complex square matrices and M=P+Q+R+S. A quadruple (P,Q,R,S) is called ...
AbstractIn this short paper, we offer (another) formula for the Drazin inverse of an operator matrix...
AbstractThe definition of the Drazin inverse of a square matrix with complex elements is extended to...
AbstractIn this paper we give a formula for the Drazin inverse of a block matrix F=IIE0, where E is ...
In this paper, the result are established in the following four ways: First, we present a general re...
In this paper, the result are established in the following four ways: First, we present a general re...
AbstractIn 1979, Campbell and Meyer proposed the problem of finding a formula for the Drazin inverse...
The main contribution of this paper is to develop explicit expressions for the Drazin inverse of two...
Consider a 2×2 block complex square matrix M=[ABCD], where A and D are square matrices. Suppose th...
AbstractA characterization of nonnegative matrices which have a nonnegative Drazin inverse is given....
In 1979, Campbell and Meyer proposed the problem of finding a formula for the Drazin inverse of a 2 ...
Characterizations are given for existence of the Drazin inverse of a matrix over an arbitrary ring. ...
[EN] The Drazin inverse of a matrix has been used in the literature to define a pre-order on the se...
Given a square matrix A and its perturbation matrix E, a new expression for the Drazin inverse BD of...
[EN] After decades studying extensively two generalized inverses, namely Moore--Penrose inverse and ...
AbstractLet P, Q, R and S be complex square matrices and M=P+Q+R+S. A quadruple (P,Q,R,S) is called ...
AbstractIn this short paper, we offer (another) formula for the Drazin inverse of an operator matrix...