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研究应用，定理将比它们特例-广义特征值定理更靠，能提供更多信息。

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.

每特征值符合操作者一特征向量，而相关特征值符合特征值里值。

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

摘要对秩等于1矩阵结构、乘法与乘幂运算、特征值与特征向量和对角化问题进行了讨论。

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

摘要本文研究了四元数量子力学一类要求其解是正规或对角化四元数矩阵特征值反问题。