Generalized Diagonalization of Matrices Over Quaternion Field

Jiang Tongsong; Chen Li

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Jiang Tongsong, Chen Li. Generalized Diagonalization of Matrices Over Quaternion Field[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1203-1210.

Citation:

Jiang Tongsong, Chen Li. Generalized Diagonalization of Matrices Over Quaternion Field[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1203-1210.

Citation:

Jiang Tongsong, Chen Li. Generalized Diagonalization of Matrices Over Quaternion Field[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1203-1210.

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Generalized Diagonalization of Matrices Over Quaternion Field

Jiang Tongsong¹,
Chen Li²

1.
Department of Mathematics, Linyi Teachers College, Linyi, Shandong 276005, P R China;
2.
Department of Physics, Linyi Teachers College, Linyi, Shandong 276005, P R China

Received Date: 1998-04-29
Rev Recd Date: 1999-06-28
Publish Date: 1999-11-15

Abstract

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.
- complex quaternion ring,
- quaternion field,
- matrix,
- diagonalization matrix

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References(10)

References

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