Abstract4-5
摘要5-7
1 Introduction and prepminaries7-11
1.1 Introduction7-8
1.2 Notations8-11
2 Investigation on right quaternionic eigenvalues11-19
2.1 Classical Results11-14
2.2 Right characteristic equations of 2×2 and 3×3 quaternionic matrices14-19
3 On left quaternionic eigenvalues19-27
3.1 Introduction and prepminaries19-21
3.2 Left characteristic equations of 2×2 and 3×3 quaternionic matrices21-25
3.3 Symplectic quaternionic matrices-Sp(2)25-27
4 Gersogorn Theorem on quaternionic eigenvalues27-33
4.1 The estimation of left quaternionic eigenvalues27
4.2 The estimation of right quaternionic eigenvalues27-28
4.3 Apppcations28-33
5 Some questions33-35
5.1 The relationship between left and right quaternionic eigenvalues33
5.2 On left quaternionic eigenvalues33-35