李春梅;段雪峰;彭振赟;江祝灵;

• 1:桂林电子科技大学数学与计算科学学院

摘要(Abstract)：

研究了双线性系统中的一类广义Lyapunov矩阵方程的正定解.基于混合单调算子不动点定理,给出新的存在正定解的充分条件,构造了求其正定解的不动点迭代方法,并给出了迭代误差估计公式.数值实验表明新方法是可行的.

关键词(KeyWords)： 广义Lyapunov矩阵方程;双线性系统;正定解;充分条件;迭代方法

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金(11561015;11301107;11261014);; 广西自然科学基金(2016GXNSFFA380009;2016GXNSFAA380074)

作者(Authors): 李春梅;段雪峰;彭振赟;江祝灵;

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