Condition numbers and structured perturbation of the \(W\)-weighted Drazin inverse
The authors show a generalization to the \(W\)-weighted Drazin inverse for rectangular matrices of the well-known formula for the condition number \(\text{ cond}(A)=\| A\| \| A^{-1}\| \) valid for nonsingular \(A\). In addition, an explicit expression for the \(W\)-weighted Drazin inverse of a perturbed matrix is developed under special assumptions.
scientific article; zbMATH DE number 2175424
scientific article