Title :
The Hermitian Positive Definite Solution of Nonlinear Matrix Equations
Author_Institution :
Coll. of Comput. Sci. & Technol., Shandong Univ. of Technol., Zibo, China
Abstract :
In this paper, we study the Hermitian positive definite solutions of the nonlinear matrix equation X + A* X-2 A = I . Suppose X is a Hermitian positive definite solution of this equation. We discuss the relation between X and A by the eigenvalue and eigenvector of X and A respectively.
Keywords :
Hermitian matrices; eigenvalues and eigenfunctions; nonlinear equations; Hermitian positive definite solution; eigenvalue; eigenvector; nonlinear matrix equations; Computer science; Educational institutions; Eigenvalues and eigenfunctions; Iterative algorithms; Iterative methods; Nonlinear equations; Sufficient conditions; Hermitian positive definite solutions; Numerical range; matrix equation; numerical radius;
Conference_Titel :
Computer Technology and Development, 2009. ICCTD '09. International Conference on
Conference_Location :
Kota Kinabalu
Print_ISBN :
978-0-7695-3892-1
DOI :
10.1109/ICCTD.2009.217
