Location for the right eigenvalues of quaternion matrices

Location for the right eigenvalues of quaternion matrices

This paper aims to discuss the location for right eigenvalues of quaternion matrices. We will present some different Gerschgorin type theorems for right eigenvalues of quaternion matrices, based on the Gerschgorin type theorem for right eigenvalues of quaternion matrices (Zhang in Linear Algebra App...

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Veröffentlicht in:Journal of applied mathematics & computing 2012-02, Vol.38 (1-2), p.71-83
Hauptverfasser: Zou, Limin, Jiang, Youyi, Wu, Junliang
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Computation
Computational Mathematics and Numerical Analysis
Computer science
Eigenvalues
Linear algebra
Mathematical analysis
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Matrices
Matrix
Matrix methods
Multiplication & division
Position (location)
Quaternions
Studies
Theorems
Theory of Computation
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Zusammenfassung:This paper aims to discuss the location for right eigenvalues of quaternion matrices. We will present some different Gerschgorin type theorems for right eigenvalues of quaternion matrices, based on the Gerschgorin type theorem for right eigenvalues of quaternion matrices (Zhang in Linear Algebra Appl. 424:139–153, 2007 ), which are used to locate the right eigenvalues of quaternion matrices. We shall conclude this paper with some easily computed regions which are guaranteed to include the right eigenvalues of quaternion matrices in 4D spaces.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-010-0464-x