矩阵方程X^S+A^*X^-tA=I 的Hermite正定解注记
ON THE HERMITE POSITIVE DEFINITE SOLUTIONS OF THE MATRIX EQUATION
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摘要: 考虑非线性矩阵方程X^S+A^*X^-tA=I，其中A是n阶非奇异复矩阵，I是n阶单位矩阵.讨论了该矩阵方程Hermite正定解的特性，改进了以往相应的结论．Abstract: The Hermitian positive definite solutions of the matrix equation X^S+A^*X^-tA=I are studied, where A is the n identity matrix and I is a n onsingular complex matrix.Properties of the Hermitian positive definite solutions are investigated,which improves the former corresponding results.
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