Stability of Invariant Subspaces of Quaternion Matrices

被引：6
|
作者：
Rodman, Leiba [1 ]
机构：
[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2012年 / 6卷 / 05期
关键词：
Quaternion matrix; Invariant subspace; Matrix equation; FINITE-DIMENSIONAL POINTS; PERTURBATION-THEORY; CONTINUITY; DISTANCE;
D O I：
10.1007/s11785-012-0233-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A quaternion invariant subspace of a quaternion matrix is said to be stable (in the sense of robustness) if every nearby matrix has an invariant subspace close to the original one. Under mild hypothesis, necessary and sufficient conditions are given for quaternion invariant subspaces to be stable. Other notions of stability of quaternion invariant subspaces are studied as well, and stability criteria developed. Applications to robustness of solutions of certain classes of quaternion matrix equations are given.
引用
收藏
页码：1069 / 1119
页数：51
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