%0 Journal Article
%T Some Results on Convex Spectral Functions: I
%J Wavelet and Linear Algebra
%I Vali-e-Asr university of Rafsanjan
%Z 2383-1936
%A Sattarzadeh, Ali Reza
%A Mohebi, Hossein
%D 2018
%\ 08/01/2018
%V 5
%N 1
%P 49-56
%! Some Results on Convex Spectral Functions: I
%K Spectral function
%K Proximal average
%K Moreau envelope
%K Infimal convolution
%R 10.22072/wala.2017.66630.1123
%X In this paper, we give a fundamental convexity preserving for spectral functions. Indeed, we investigate infimal convolution, Moreau envelope and proximal average for convex spectral functions, and show that this properties are inherited from the properties of its corresponding convex function. This results have many applications in Applied Mathematics such as semi-definite programmings and engineering problems.
%U http://wala.vru.ac.ir/article_29390_8fbfacedf5f697bbe26f048cf0b44053.pdf