矩阵方程X^S+A^*X^-tA=I 的Hermite正定解注记

矩阵方程X $^{S}$ +A $^{*}$ X $^{-t}$ A=I 的Hermite正定解注记

详细信息

摘要: 考虑非线性矩阵方程X $^{S}$ +A $^{*}$ X $^{-t}$ A=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．
- 矩阵方程 /
- 谱范数 /
- Frobenius范数
Abstract: The Hermitian positive definite solutions of the matrix equation X $^{S}$ +A $^{*}$ X $^{-t}$ A=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.
- matrix equation /
- spectral norm /
- Frobenius norm