Multiple eigenvalue sensitivity analysis

II. Eigenvalue Sensitivity Analysis

Sensitivity analysis for the multivariate eigenvalue problem

This paper concerns with the sensitivity analysis for the multivariate eigenvalue problem (MEP). The concept of a simple multivariate eigenvalue of a matrix is generalized to the MEP and the first-order perturbation expansions of a simple multivariate eigenvalue and the corresponding multivariate eigenvector are presented. The explicit expressions of condition numbers, perturbation upper bounds...

Perturbation Theory Eigenvalue Sensitivity Analysis with Monte Carlo Techniques

Methodologies to calculate adjoint-based first-order-linear perturbation theory sensitivity coefficients with multigroup Monte Carlo methods are developed, implemented, and tested in this paper. These techniques can quickly produce sensitivity coefficients for all nuclides and reaction types for each region of a system model. Monte Carlo techniques have been developed to calculate the neutron f...

Sensitivity and Perturbation analysis of Polynomial Eigenvalue problem

The conference dinner will take place in Café Campus behind the Mathematics Building on the campus of TU Berlin. We discuss a general framework for sensitivity and perturbation analysis of polynomial eigen-value problem. More specifically, we discuss first order variations of simple eigenvalues of matrix polynomials, determine the gradients and present a general definition of condition number o...

Sensitivity and Computation of a Defective Eigenvalue

4 A defective eigenvalues is well documented to be hypersensitive to data pertur5 bations and round-off errors, making it a formidable challenge in numerical computa6 tion particularly when the matrix is known through approximate data. This paper 7 establishes a finitely bounded sensitivity of a defective eigenvalue with respect to per8 turbations that preserve the geometric multiplicity and th...