Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9662318 | Computers & Mathematics with Applications | 2005 | 9 Pages |
Abstract
A spectral function of a symmetric matrix X is a function which depends only on the eigenvalues of X, λ1 (X) ⥠λ2(X) â¥â¥ λn (X), and may be written as Æ (λ1 (X), λ2(X), , λn (X)) for some symmetric function Æ. In this paper, we assume that Æ is a C1,1 function and discuss second-order directional derivatives of such a spectral function. We obtain an explicit expression of second-order directional derivative for the spectral function.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
S.J. Li, K.L. Teo, X.Q. Yang,