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1. Asymptotic quadratic convergence of the parallel block-Jacobi EVD algorithm with dynamic ordering for Hermitian matrices.

Author

Okša, Gabriel, Yamamoto, Yusaku, Bečka, Martin, and Vajteršic, Marián

Subjects
*STOCHASTIC convergence, *JACOBI sums, *HERMITIAN operators, *EIGENVALUES, *FROBENIUS groups
Abstract

The proof of the asymptotic quadratic convergence is provided for the parallel two-sided block-Jacobi EVD algorithm with dynamic ordering for Hermitian matrices. The discussion covers the case of well-separated eigenvalues as well as clusters of eigenvalues. Having p processors, each parallel iteration step consists of zeroing 2p off-diagonal blocks chosen by dynamic ordering with the aim to maximize the decrease of the off-diagonal Frobenius norm. Numerical experiments illustrate and confirm the developed theory. [ABSTRACT FROM AUTHOR]

Published
2018
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