A structure-preserving Jacobi algorithm for quaternion Hermitian eigenvalue problems
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[1] De Leo S,et al. Quaternion scalar field. , 1992, Physical review. D, Particles and fields.
[2] Fengxia Zhang,et al. Real structure-preserving algorithms of Householder based transformations for quaternion matrices , 2016, J. Comput. Appl. Math..
[3] Nicolas Le Bihan,et al. Quaternion principal component analysis of color images , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).
[4] C. Jacobi,et al. C. G. J. Jacobi's Gesammelte Werke: Über ein leichtes Verfahren, die in der Theorie der Sacularstorungen vorkommenden Gleichungen numerisch aufzulosen , 1846 .
[5] Roy Mathias. Accurate Eigensystem Computations by Jacobi Methods , 1995, SIAM J. Matrix Anal. Appl..
[6] Nicolas Le Bihan,et al. Jacobi method for quaternion matrix singular value decomposition , 2007, Appl. Math. Comput..
[7] James Demmel,et al. Jacobi's Method is More Accurate than QR , 1989, SIAM J. Matrix Anal. Appl..
[8] Fuzhen Zhang. Quaternions and matrices of quaternions , 1997 .
[9] P. Eberlein. On one-sided Jacobi methods for parallel computation , 1987 .
[10] Tongsong Jiang,et al. Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory , 2005 .
[11] R. Brent,et al. The Solution of Singular-Value and Symmetric Eigenvalue Problems on Multiprocessor Arrays , 1985 .
[12] Musheng Wei,et al. A new structure-preserving method for quaternion Hermitian eigenvalue problems , 2013, J. Comput. Appl. Math..
[13] Volker Mehrmann,et al. A quaternion QR algorithm , 1989 .