Solving Optimization Problems on Hermitian Matrix Functions with Applications

We consider the extremal inertias and ranks of the matrix expressions f(X,Y)=A3-B3X-(B3X)*-C3YD3-(C3YD3)*, where A3=A3*,   B3,   C3, and D3 are known matrices and Y and X are the solutions to the matrix equations A1Y=C1, YB1=D1, and A2X=C2, respectively. As applications, we present necessary and suf...

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Bibliographic Details
Main Authors: Xiang Zhang, Shu-Wen Xiang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/593549
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