Wavelet and Linear Algebra

Some Results on Subdifferential of Spectral functions

Document Type : Research Paper

Authors

AliReza Sattarzadeh 1
Mohammad Hossein Daryaei 2

1 Department of Mathematics, Kerman Graduate University of Advanced Technology, Kerman, Iran.

2 Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.

https://doi.org/10.22072/wala.2024.2016922.1440
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
Wavelet and Linear Algebra
Volume 11, Issue 2
October 2024
Pages 52-65

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