Perturbation Analysis of An Eigenvector-Dependent Nonlinear Eigenvalue Problem With Applications?

Yunfeng Cai, Zhigang Jia, Zheng-Jian Bai

The eigenvector-dependent nonlinear eigenvalue problem (NEPv) $A(P)V=V\Lambda$, where the columns of $V\in {\mathbb{C}}^{n\times k}$ are orthonormal, $P=V{V}^{\mathrm{H}}$, $A(P)$ is Hermitia…