Condition number for the \(W\)-weighted Drazin inverse and its applications in the solution of rectangular linear system
The perturbation theory for linear systems \(WAWx=b\), \(A \in {\mathbb R}^{m \times n}\), \(W \in {\mathbb R}^{n \times m} \) is studied. The condition number for the W-weighted Drazin inverse solution of the above system is obtained. In addition, the level-2 condition numbers for the W-weighted Drazin inverse and W-weighted Drazin inverse solution are analyzed.
scientific article; zbMATH DE number 5007496