The W-weighted Drazin-star matrix and its dual

Condition number of the W-weighted Drazin inverse

In this paper we get the explicit condition number formulas for the W–weighted Drazin inverse of a rectangular matrix using the Schur decomposition and the spectral norm. We characterize the spectral norm and the Frobenius norm of the relative condition number of the W– weighted Drazin inverse, and the level-2 condition number of the W– weighted Drazin inverse. The sensitivity for the W–weighte...

Representation for the W -weighted Drazin inverse of linear operators

In this paper we study the W -weighted Drazin inverse of the bounded linear operators between Banach spaces and its representation theorem. Based on this representation, utilizing the spectral theory of Banach space operators, we derive an approximating expression of the W -weighted Drazin inverse and an error bound. Also, a perturbation theorem for the W -weighted Drazin inverse is uniformly o...

Ela Characterization of the W-weighted Drazin Inverse over the Quaternion Skew Field with Applications

If k = 1, then X is called the group inverse of A, and is denoted by X = Ag. The Drazin inverse is very useful in various applications (see, e.g. [1]–[4]; applications in singular differential and difference equations, Markov chains and iterative methods). In 1980, Cline and Greville [5] extended the Drazin inverse of square matrix to rectangular matrix, which can be generalized to the quaterni...

Characterization of the W-weighted Drazin inverse over the quaternion skew field with applications

On the fine spectra of the Zweier matrix as an operator over the weighted sequence space $l_{p}(w)$

In the present paper, the ne spectrum of the Zweier matrix as anoperator over the weighted sequence space `p(w); have been examined.