周裕中, 林利云. 矩阵方程X$^{S}$+A$^{*}$X$^{-t}$A=I 的Hermite正定解注记[J]. 华南师范大学学报（自然科学版）, 2010, 1(3): 4-6 .
引用本文: 周裕中, 林利云. 矩阵方程X$^{S}$+A$^{*}$X$^{-t}$A=I 的Hermite正定解注记[J]. 华南师范大学学报（自然科学版）, 2010, 1(3): 4-6 .
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ON THE HERMITE POSITIVE DEFINITE SOLUTIONS OF THE MATRIX EQUATION[J]. Journal of South China Normal University (Natural Science Edition), 2010, 1(3): 4-6 .
Citation: ON THE HERMITE POSITIVE DEFINITE SOLUTIONS OF THE MATRIX EQUATION[J]. Journal of South China Normal University (Natural Science Edition), 2010, 1(3): 4-6 .
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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

    摘要
  • 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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