利用四元数矩阵的加权共轭转置定义了四元数矩阵的加权左（右） 序，给出了加权左（右） 序的一些等价刻画，推广了以往文献的相应结果。
The weighted right (left) star partial ordering is defined though the weighted conjugate of the matrix , some characterisation of its is obtained, the existed results are extended.
在处理对称正定问题时，它等价于共轭残量(cr)法。
It is equivalent to the conjugate residual method (CR) in the case of symmetric positive definite.
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