Some Results on Subdifferential of Spectral functions

Author(s):

Alireza Sattarzadeh * , Mohammadhossein Daryaei

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper‎, ‎we explore the properties of spectral functions from the perspective of convex analysis and monotone operator theory‎. ‎Specifically‎, ‎we examine the $\e$-subdifferential and $\e$-enlargement of a spectral function‎. ‎Also‎, ‎we study representative functions associated with the subdifferential of the spectral function‎. ‎In addition‎, ‎Fitzpatrick function has been studied due to its significance as one of the most important representative functions.

Keywords:

‎Spectral Function , Eigenvalue Optimization , ‎Convex Analysis , ‎Monotone Operator

Language:
English
Published:
Wavelets and Linear Algebra, Volume:11 Issue: 2, Autumn and Winter 2024
Pages:
52 to 65
https://www.magiran.com/p2810906