UM ETheses Collection (澳門大學電子學位論文庫)
 Title

3by3 pure imaginary quaternionic solutions of the Hurwitz matrix equations
 English Abstract

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In this thesis, it is proved that the maximum number of 3 x 3 pure imaginary quaternionic solutions, T1,T2,…,Tp, of the Hurwitz matrix equations given by TiTj*+TjTi*={2I,if i=j, 0,otherwise. is 3. This thesis is divided into three chapters. There are some notations, definitions and background in Chapter 1. In Chapter 2, there are some lemmas and a theorem. In the theorem.it is shown that an n x n pure imaginary quaternionic unitary matrix is orthogonally congruent to a diagonal matrix. Chapter 3 consists of the main result. It is proved by contradiction that the maximum number of 3 x 3 pure imaginary quaternionic solutions of the Hurwitz matrix equations is 3.
 Issue date

2008.
 Author

Cheok, Kam Loi
 Faculty

Faculty of Science and Technology
 Department

Department of Mathematics
 Degree

M.Sc.
 Subject

Mathematics
Matrices
 Supervisor

Cheng, Che Man
Leong, Ieng Tak
 Files In This Item
 Location
 1/F Zone C
 Library URL
 991003247129706306