Derivatives of partial eigendecomposition of a real symmetric matrix for degenerate cases
Numerical Analysis
2020-11-10 v1 Numerical Analysis
Abstract
This paper presents the forward and backward derivatives of partial eigendecomposition, i.e. where it only obtains some of the eigenpairs, of a real symmetric matrix for degenerate cases. The numerical calculation of forward and backward derivatives can be implemented even if the degeneracy never disappears and only some eigenpairs are available.
Keywords
Cite
@article{arxiv.2011.04366,
title = {Derivatives of partial eigendecomposition of a real symmetric matrix for degenerate cases},
author = {Muhammad Firmansyah Kasim},
journal= {arXiv preprint arXiv:2011.04366},
year = {2020}
}