## JORDAN CANONICAL FORMS OF MATRICES OVER QUATERNION FIELD'* Chen Longxuan (l~,)~.~) ~ Hot! Renrnin ({~{\_~)' Wang Liangtao (.T:.;)~)' (.Received March 3 I, 1995, Revised Nov. 24, i995; Communicated by Chien Weizang)
Eigenvalues and Canonical Forms of Matrices with Quaternion Coefficients
โ Scribed by H. C. Lee
- Book ID
- 125202928
- Year
- 1948-1950
- Weight
- 706 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0035-8975
- DOI
- 10.2307/20488503
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๐ SIMILAR VOLUMES
In this paper, the concept of generalized spherical neighborhood on the real quaternion field is introduced. Then, Schwartz' s inequality and the Gerschgorin's theorem are proved on the real quaternion field and the problems of the distribution and estimation of real quaternion matrix eigenvalues ar
## Abstract The methods developed for eigensolution of matrices with special patterns (__Commun. Numer. Methods Engng__ 2003; **19**: 125; 2004; **20**: 133) is extended to another canonical form defined as the __symmetry of Form IV__. Efficient methods are presented for evaluating the eigenvalues