Matrix function optimization under weighted boundary constraints and its applications in network control

• Main Authors: Tang, Pei, Li, Guoqi, Ma, Chen, Wang, Ran, Xiao, Gaoxi, Shi, Luping
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2020
• Subjects: Engineering::Electrical and electronic engineering; Matrix Function Optimization; Matrix Variable
• Online Access: https://hdl.handle.net/10356/142715
• Institution: Nanyang Technological University

The matrix function optimization under weighted boundary constraints on the matrix variables is investigated in this work. An "index-notation-arrangement based chain rule" (I-Chain rule) is introduced to obtain the gradient of a matrix function. By doing this, we propose the weighted trace...