数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (3): 492-504.
储玉明
CHU Yu-Meng
摘要:
The main aim of this paper is to discuss the following two problems: \\
Problem I: Given (the set of all quaternion matrices),
, ,
find such that , where
denotes the set of all quaternion matrices which are bi-self-conjugate and nonnegative definite.\\
ProblemⅡ: Given , find such that
where is the solution set of problem Ⅰ, is the
quaternion matrix norm. The necessary and sufficient conditions for being nonempty are obtained.
The general form of elements in and the expression of the unique solution
of problem Ⅱ are given.
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