On positive definite solution of a class of nonlinear matrix equations(一类非线性矩阵方程的正定解)

讨论非线性矩阵方程的Hermite 正定解及其扰动问题。提出了该方程存在唯一正定解的充分条件,给出了迭代解法。讨论了唯一正定解的扰动问题,给出了上界估计,得到了唯一正定解的Rice 条件数的显式表达式,并用数值例子对所得结果进行了验证。...

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Bibliographic Details
Main Authors: FANGLiang(房亮), LIUSanyang(刘三阳)
Format: Article
Language:zho
Published: Zhejiang University Press 2019-01-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2019.01.001