Generalized Diagonalization of Matrices Over Quaternion Field
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摘要: 引入了复四元数环和四元数体上矩阵可 对角化的概念,研究了复四元数环上矩阵的性质,给出了四元数体上矩阵可 对角化的充分必要条件和求矩阵 对角化的方法。Abstract: A concept of diagonalization matrix over quaternion field is given, the necessary and sufficient conditions for determining whether a quaternion matrix is a diagonalization one are discussed, and a method of diagonalization of matrices over quaternion field is given.
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Key words:
- complex quaternion ring /
- quaternion field /
- matrix /
- diagonalization matrix
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