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

doi:10.4236/alamt.2013.34011

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	A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix
	Weixiong Mai1 ; Mo Yan1 ; Tao Qian 1; Matteo Dalla Riva 2; Saburou Saitoh 2
	2013
Source Publication	Advances in Linear Algebra & Matrix Theory
ISSN	2165-333X
Volume	3 Issue:4 Pages:55-58
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.
Keyword	Reproducing Kernel Positive Definite Hermitian Matrix Quadratic Inequality Inversion Of Positive Definite Hermitian Matrix Restriction Of Positive Definite Hermitian Matrix Schur Complement Block Matrix
DOI	10.4236/alamt.2013.34011
Language	英語English
Fulltext Access	View Full-Text via DOI
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Document Type	Journal article
Collection	Faculty of Science and Technology
Corresponding Author	Saburou Saitoh
Affiliation	1.Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau, China 2.Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Aveiro, Portugal
First Author Affilication	Faculty of Science and Technology
Recommended Citation GB/T 7714	Weixiong Mai,Mo Yan,Tao Qian,et al. A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix[J]. Advances in Linear Algebra & Matrix Theory, 2013, 3(4), 55-58.
APA	Weixiong Mai., Mo Yan., Tao Qian., Matteo Dalla Riva., & Saburou Saitoh (2013). A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix. Advances in Linear Algebra & Matrix Theory, 3(4), 55-58.
MLA	Weixiong Mai,et al."A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix".Advances in Linear Algebra & Matrix Theory 3.4(2013):55-58.

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