S. Saitoh, “Quadratic Inequalities Associated with Integrals of Reproducing Kernels,” Linear Algebra and Its Applications, Vol. 101, No. 2, 1988, pp. 269-280.
has been cited by the following article:
TITLE: A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix
AUTHORS: Weixiong Mai, Mo Yan, Tao Qian, Matteo Dalla Riva, Saburou Saitoh
KEYWORDS: Reproducing Kernel; Positive Definite Hermitian Matrix; Quadratic Inequality; Inversion of Positive Definite Hermitian Matrix; Restriction of Positive Definite Hermitian Matrix; Schur Complement; Block Matrix
JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.3 No.4, December 19, 2013
ABSTRACT: We exploit the theory of reproducing kernels to deduce a matrix inequality for the inverse of the restriction of a positive definite Hermitian matrix.