Affiliation:
1. NORTHERN MICHIGAN UNIVERSITY, USA
Abstract
In this paper, we study Fréchet vector subdifferentials of vector-valued functions in normed spaces which reduceto the known ones of extended-real-valued functions. We establish relations between two kinds of Fréchet vectorsubdifferentials and between subdifferential and coderivative; some of them improve the existing relations forextended-real-valued functions. Finally, sum and chain rules among others for Fréchet subdifferentials of vector-valued functions are formulated and verified. Many examples are provided
Publisher
Technical University of Cluj Napoca, North University Center of Baia Mare
Reference15 articles.
1. "[1] Al-Homidan, S., Low-Rank Approximation of Circulant Matrix to a Noisy Matrix Submitted.
2. [2] Al-Homidan, S., Mixed Semidefinite And Second-Order Cone Optimization Approach For The Circulant Matrix Approximation Problem Submitted.
3. [3] Al-Homidan, S., Structure method for solving the nearest Euclidean distance matrix problem, J. Inequal. Appl., 2014, 2014:491, 7 pp.
4. [4] Al-Homidan, S., Solving Hankel matrix approximation problem using semidefinite programming, J. Comput. Appl. Math., 202 (2007), No. 2, 304–314
5. [5] Andrade, E., Arrieta, L. and Manzaneda, C. and Robbiano, M., On the spectra of some g-circulant matrices and applications to nonnegative inverse eigenvalue problem, Linear Algebra Appl., 590 (2020), 1–21