About Hermitian Positive Definite Solutions of a Type of Nonlinear Matrix Equations

C. Tan
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Abstract

Let be an nonsingular matrix. In image processing, we must solve a system of linear equations[1], however, the solving of the System can be transformed to the solving of the equations . In this paper, we study the Hermitian positive definite solutions of the matrix equation . We give an equivalent equation of when the matrix equation has a Hermitian positive definite solution.
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一类非线性矩阵方程的厄米正定解
设为一个非奇异矩阵。在图像处理中,我们必须求解一个线性方程组[1],然而,方程组的求解可以转化为方程组的求解。本文研究了矩阵方程的厄米正定解。当矩阵方程有厄米正定解时我们给出一个等价方程。
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