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A Low-Rank Inexact Newton–Krylov Method for Stochastic Eigenvalue Problems

A Low-Rank Inexact Newton–Krylov Method for Stochastic Eigenvalue Problems

Abstract This paper aims at the efficient numerical solution of stochastic eigenvalue problems. Such problems often lead to prohibitively high-dimensional systems with tensor product structure when discretized with the stochastic Galerkin method. Here, we exploit this inherent tensor product structure to develop a globalized low-rank inexact Newton method with which …