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math.NA2023
Invariant subspace perturbation of a matrix with Jordan blocks
Hongguo Xu
We investigate how invariant subspaces corresponding to a single eigenvalue will change when a matrix is perturbed. We focus on the invariant subspaces corresponding to an eigenval…
math.NA2012★ 42 cited
Conditioning of Finite Element Equations with Arbitrary Anisotropic Meshes
Lennard Kamenski, Weizhang Huang, Hongguo Xu
Bounds are developed for the condition number of the linear finite element equations of an anisotropic diffusion problem with arbitrary meshes. They depend on three factors. The fi…