Second-Order Directional Derivatives of Spectral Functions

A spectral function of a symmetric matrix X is a function which depends only on the eigenvalues of X, λ1 (X) ≥ λ2(X) ≥≥ λn (X), and may be written as ƒ (λ1 (X), λ2(X), , λn (X)) for some symmetric function ƒ. In this paper, we assume that ƒ is a C1,1 function and discuss second-order directional der...

Full description

Bibliographic Details
Main Authors: Li, S., Teo, Kok Lay, Yang, X.
Format: Journal Article
Published: Pergamon 2005
Online Access:http://hdl.handle.net/20.500.11937/26829