Abstract
We consider the nonlinear matrix equation , where is positive definite, is positive semidefinite, and is the block diagonal matrix defined by . We prove that the equation has a unique positive definite solution via variable replacement and fixed point theorem. The basic fixed point iteration for the equation is given.
Citation
Dongjie Gao. "Existence and Uniqueness of the Positive Definite Solution for the Matrix Equation ." Abstr. Appl. Anal. 2013 (SI33) 1 - 4, 2013. https://doi.org/10.1155/2013/216035
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