A new iterative method for many eigenpair partial derivatives
Simple eigenvalues of matrices depending analytically on parameters also depend analytically on these parameters. In this paper a method to calculate the partial derivatives simultaneously is given. Convergence of this method is shown in the case that some smallest eigenvalues are calculated. The method given here is similar to a method given by \textit{R. C. E. Tan} and \textit{A. L. Andrew} [IMA J. Numer. Anal. 9, No. 1, 111--122 (1989; Zbl 0674.65014)], which calculates the largest eigenvalues. Several numerical examples are given.
scientific article; zbMATH DE number 5817285