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

Weixiong Mai, Mo Yan, Tao Qian, Matteo Dalla Riva, Saburou Saitoh

Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal.

Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau, China.

**DOI: **10.4236/alamt.2013.34011
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Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal.

Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau, China.

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

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W. Mai, M. Yan, T. Qian, M. Riva and S. Saitoh, "A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix," *Advances in Linear Algebra & Matrix Theory*, Vol. 3 No. 4, 2013, pp. 55-58. doi: 10.4236/alamt.2013.34011.

Conflicts of Interest

The authors declare no conflicts of interest.

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