SecondOrder Directional Derivatives of Spectral Functions
Access Status
Open access via publisher
Date
2005Type
Journal Article
Metadata
Show full item recordAbstract
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 secondorder directional derivatives of such a spectral function. We obtain an explicit expression of secondorder directional derivative for the spectral function.
Citation
Li, S. and Teo, K.L. and Yang, X. 2005. SecondOrder Directional Derivatives of Spectral Functions. Computers and Mathematics with Applications. 50 (56): pp. 947955.
Source Title
Computers and Mathematics with Applications
ISSN
School
Department of Mathematics and Statistics
Collection
Related items
Showing items related by title, author, creator and subject.

Santich, Norman Ty (2007)As well as the many benefits associated with the evolution of multispectral sensors into hyperspectral sensors there is also a considerable increase in storage space and the computational load to process the data. ...

Dubiusson, P.; Frouin, R.; Dessailly, D.; Duforet, L.; Leon, J.; Voss, K.; Antoine, David (2009)A methodology is proposed to infer the altitude of aerosol plumes over the ocean from reflectance ratio measurements in the O2 absorption Aband (759 to 770 nm). The reflectance ratio is defined as the ratio of the ...

Yusoff, Mohd Amaluddin; Zang, Zhuquan; Abeysekera, S. (2012)Spectral efficiency is a major requirement in ultrawideband (UWB) communication systems because of very low power spectral density (PSD) regulations imposed on the transmitted signals. Besides, large number of orthogonal ...