January 5th – Agnieszka Miedlar: Moving eigenvalues and eigenvectors by simple perturbations

Agnieszka Miedlar: Thursday 8 December at 3pm, A415 Inria Paris.

Abstract: In the context of iterative solvers moving the eigenvalue or the eigenpair may be of particular importance in several cases, e.g., deflation techniques, increasing the spectral gap or determining the set of linearly independent eigenvectors. It can also be used for reducing the imaginary parts of the eigenvalues without chainging the matrix exponential; this can enhance the computation of $\exp(A)$. Exploiting the classical perturbation analysis for eigenvalue problems [Golub and Van Loan 2012] we study the following problem.

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