Title :
A trace inequality for the column spaces of the matrices
Author :
Ma, Ying ; Wang, Shiqing
Author_Institution :
Coll. of Math. & Inf. Sci., North China Univ. of Water Resources & Electr. Power, Zhengzhou, China
Abstract :
Trace inequalities naturally arise in control theory and in communication systems with multiple input and multiple output. One application of Belmega´s (2009) trace inequality has already been identified. Wang (2010[8]) extend the symmetric positive definite matrices of his inequality to symmetric nonnegative definite matrices, and the inverse matrices to Penrose-Moore inverse matrices. However, the conditions of his theorems are too strong, and suitable aspect is narrow. In this paper, we give more weaken conditions.
Keywords :
matrix algebra; Penrose-Moore inverse matrix; column space; communication system; control theory; symmetric nonnegative definite matrix; symmetric positive definite matrix; trace inequality; Barium; Penrose-Moore inverse matrix; column space; generalized inverse matrix; symmetric nonnegative definite matrix; symmetric positive definite matrix; trace inequality;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5619147
