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S. Saitoh, “Theory of Reproducing Kernels: Applications to Approximate Solutions of Bounded Linear Operator Functions on Hilbert Spaces,” American Mathematical Society Translations: Series 2, Vol. 230, American Mathematical Society, Providence, 2010.

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.