A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix

• 作者: Matteo Dalla Riva Mo Yan Saburou Saitoh Tao Qian Weixiong Mai
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: Reproducing Kernel POSITIVE Definite HERMITIAN MATRIX Quadratic Inequality Inversion of POSITIVE Definite HERMITIAN MATRIX Restriction of POSITIVE Definite HERMITIAN MATRIX SCHUR Complement Block MATRIX
• 年，卷（期）: 2013,（4）
• 页码范围: 55-58
• 页数: 4页
• 分类号: O1

摘要

We exploit the theory of reproducing kernels to deduce a matrix inequality for the inverse of the restriction of a positive definite Hermitian matrix.