In the thesis, we review some recent progresses on the study of Drazin inverses and the study of linear degenerate systems with nonsingular pencil. Properties of the Drazin inverse are discussed. An application of Drazin inverses to linear degenerate systems is presented. Furthermore, a numerical algorithm for calculating Drazin inverses and a FORTRAN program are provided
[EN] After decades studying extensively two generalized inverses, namely Moore--Penrose inverse and ...
AbstractConsider the linear system of equations Bx=ƒ, where B is an NxN singular matrix. In an earli...
[EN] In this paper, numerical methods for the solution of linear singular differential system are an...
The objective was to try to develop a useful numerical algorithm for the Drazin inverse and to analy...
The solution of the differential system Bx = Ax + f where A and B are n x n matrices, and A - Lambda...
AbstractA new type of generalized inverse is defined which is a weakened form of the Drazin inverse....
AbstractIn control theory, the methodology of the Drazin inverse and matrix pencil theory methods fo...
AbstractIn this paper we introduce an interpolation method for computing the Drazin inverse of a giv...
AbstractA method is given for computing the Drazin inverse of a square matrix A of order n as a poly...
AbstractIn this paper, we study the displacement rank of the Drazin inverse. Both Sylvester displace...
A method with high convergence rate for finding approximate inverses of nonsingular matrices is sugg...
In this paper, a review of a development of the Drazin inverse for the sum of two matrices has been ...
AbstractWe present a unified representation theorem for Drazin inverse. Specific expression and comp...
Drazin inverse is one of the most significant inverses in the matrix theory, where its computation i...
AbstractIn this article, we introduce a full-rank representation of the Drazin inverse AD of a given...
[EN] After decades studying extensively two generalized inverses, namely Moore--Penrose inverse and ...
AbstractConsider the linear system of equations Bx=ƒ, where B is an NxN singular matrix. In an earli...
[EN] In this paper, numerical methods for the solution of linear singular differential system are an...
The objective was to try to develop a useful numerical algorithm for the Drazin inverse and to analy...
The solution of the differential system Bx = Ax + f where A and B are n x n matrices, and A - Lambda...
AbstractA new type of generalized inverse is defined which is a weakened form of the Drazin inverse....
AbstractIn control theory, the methodology of the Drazin inverse and matrix pencil theory methods fo...
AbstractIn this paper we introduce an interpolation method for computing the Drazin inverse of a giv...
AbstractA method is given for computing the Drazin inverse of a square matrix A of order n as a poly...
AbstractIn this paper, we study the displacement rank of the Drazin inverse. Both Sylvester displace...
A method with high convergence rate for finding approximate inverses of nonsingular matrices is sugg...
In this paper, a review of a development of the Drazin inverse for the sum of two matrices has been ...
AbstractWe present a unified representation theorem for Drazin inverse. Specific expression and comp...
Drazin inverse is one of the most significant inverses in the matrix theory, where its computation i...
AbstractIn this article, we introduce a full-rank representation of the Drazin inverse AD of a given...
[EN] After decades studying extensively two generalized inverses, namely Moore--Penrose inverse and ...
AbstractConsider the linear system of equations Bx=ƒ, where B is an NxN singular matrix. In an earli...
[EN] In this paper, numerical methods for the solution of linear singular differential system are an...