Geršgorin type theorems for quaternionic matrices

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• 作者：Fuzhen Zhang
• 关键词：Eigenvalue ; Ger&#x161 ; gorin theorem ; Left eigenvalue ; Matrix of quaternions ; Quaternion ; Quaternionic matrix ; Right eigenvalue ; Singular eigenvalue ; Spectral radius ; Spectrum
• 刊名：Linear Algebra and its Applications
• 出版年：2007
• 出版时间：1 July 2007
• 年：2007
• 卷：424
• 期：1
• 页码：139-153
• 全文大小：223 K

文摘

This paper aims to set an account of the left eigenvalue problems for real quaternionic (finite) matrices. In particular, we will present the Geršgorin type theorems for the left (and right) eigenvalues of square quaternionic matrices. We shall conclude the paper with examples showing and summarizing some differences between complex matrices and quaternionic matrices and right and left eigenvalues of quaternionic matrices.