Abstract. In this paper, we construct a new iterative method for computing the Drazin inverse and deduce the necessary and sufficient condition for its convergence to Ad. Moreover, we present the error bounds of the iterative methods for approximating Ad. 1
Given a square matrix A and its perturbation matrix E, a new expression for the Drazin inverse BD of...
The Drazin inverse of a square matrix occurs in a number of applications. It is of importance to ana...
In this paper, some additive results on Drazin inverse of a sum of Drazin invertible elements are de...
Drazin inverse is one of the most significant inverses in the matrix theory, where its computation i...
A method with high convergence rate for finding approximate inverses of nonsingular matrices is sugg...
AbstractLet A and E be n×n matrices and B = A + E. Denote the Drazin inverse of A by AD. In this pap...
A general iterative method for the Drazin inverse of a squre matrix with complex spectrum and its er...
Iterative methods for the Drazin inverse of a square matrix with a real spectrum have been developed...
A perturbation bound for the Drazin inverse AD with Ind(A+E)=1 has recently been developed. However,...
AbstractWe present a unified representation theorem for Drazin inverse. Specific expression and comp...
AbstractLet A and E be n × n matrices and B = A + E. Denote the Drazin inverse of A by AD. We give a...
AbstractIn this paper, we reconsider the iterative method Xk=Xk−1+βY(I−AXk−1), k=1,2,…,β∈C∖{0} for c...
The paper solves a long standing problem of ending error bounds for a general perturbation of the Dr...
A higher-order convergent iterative method is provided for calculating the generalized inverse over ...
AbstractConsider the linear system of equations Bx=ƒ, where B is an NxN singular matrix. In an earli...
Given a square matrix A and its perturbation matrix E, a new expression for the Drazin inverse BD of...
The Drazin inverse of a square matrix occurs in a number of applications. It is of importance to ana...
In this paper, some additive results on Drazin inverse of a sum of Drazin invertible elements are de...
Drazin inverse is one of the most significant inverses in the matrix theory, where its computation i...
A method with high convergence rate for finding approximate inverses of nonsingular matrices is sugg...
AbstractLet A and E be n×n matrices and B = A + E. Denote the Drazin inverse of A by AD. In this pap...
A general iterative method for the Drazin inverse of a squre matrix with complex spectrum and its er...
Iterative methods for the Drazin inverse of a square matrix with a real spectrum have been developed...
A perturbation bound for the Drazin inverse AD with Ind(A+E)=1 has recently been developed. However,...
AbstractWe present a unified representation theorem for Drazin inverse. Specific expression and comp...
AbstractLet A and E be n × n matrices and B = A + E. Denote the Drazin inverse of A by AD. We give a...
AbstractIn this paper, we reconsider the iterative method Xk=Xk−1+βY(I−AXk−1), k=1,2,…,β∈C∖{0} for c...
The paper solves a long standing problem of ending error bounds for a general perturbation of the Dr...
A higher-order convergent iterative method is provided for calculating the generalized inverse over ...
AbstractConsider the linear system of equations Bx=ƒ, where B is an NxN singular matrix. In an earli...
Given a square matrix A and its perturbation matrix E, a new expression for the Drazin inverse BD of...
The Drazin inverse of a square matrix occurs in a number of applications. It is of importance to ana...
In this paper, some additive results on Drazin inverse of a sum of Drazin invertible elements are de...