四元数矩阵特征值的Jacobi迭代

The Jacobi Iteration of Eigenvalue of Real Self-Adjoint Quaternion Matrices

摘要: 四元数矩阵在工程技术、物理学和计算机科学等学科有广泛的应用。本文首先简述了四元数及四元数矩阵的背景和发展状况；其次列出了基本定义和定理；最后借助于四元数矩阵的实表示，讨论了实自共轭四元数矩阵右特征值的Jacobi迭代。

Abstract: Quaternion matrix has a wide range of applications in the field of engineering technology, physics and computer science. In this paper, we describe the background and development of quaternion and quaternion matrices. Moreover some basic definitions and theorems of quaternion and qua-ternion matrices are demonstrated. Finally, we discuss the Jacobi iteration of right eigenvalues of real self-adjoint quaternion matrices based on the real-representation.