Optimization on matrix manifold based on gradient information and its applications in network control

• Main Authors: Li, Guoqi, Tang, Pei, Meng, Ziyang, Wen, Changyun, Pei, Jing, 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/10356/141203
• Institution: Nanyang Technological University

Vector function optimization problems, in which one or more variables are multidimensional vectors or infinite-dimensional vectors, have been extensively studied and demonstrated in existing schemes. In various real life applications, a cost function to be optimized usually involves matrix variables...