One kind of inverse eigenvalue problems, whose solutions are required to be normal or diagonalizable matrices, is investigated in quaternionic quantum mechanics.

摘要本了四元数量子力学中一类要求其解是正规或可对角化四元数矩阵的特征反问题。

This paper discusses the structure, calculation of multiplication and power, eigenvalue and eigenvector, and diagonalizable problems of matrix of rank equal to 1.

摘要对秩于1的矩阵的结构、乘法与乘幂运算、特征与特征向量和对角化问题进行了讨论。

Each eigenstate of an observable corresponds to an eigenvector of the operator, and the associated eigenvalue corresponds to the value of the observable in that eigenstate.

每个可见特征操作者一特征向量，而相关的特征特征里的可见。

In the practical applications of highly nonnormal matrices, these theorems may be more useful than their generalized eigenvalue special cases and may provide more descriptive information.

在对高度非正规矩阵的应用中，这些定理将比它们的特例-广义特征定理更可靠，能提供更多的信息。