Eigenvalues of echelon matrices
β Scribed by Bernard Friedman
- Publisher
- John Wiley and Sons
- Year
- 1961
- Tongue
- English
- Weight
- 192 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
## 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
We study the case in which eigenvalues and elementary divisors of a Cartan matrix of a p-block B of a finite group coincide. In several cases we prove the coincidence occurs if and only if the Perron-Frobenius eigenvalue of the Cartan matrix is equal to the order of a defect group of B.  2002 Elsev
## Abstract Eigenvalue bounds are provided. It is proved that the minimal eigenvalue of a __Z__βmatrix strictly diagonally dominant with positive diagonals lies between the minimal and the maximal row sums. A similar upper bound does not hold for the minimal eigenvalue of a matrix strictly diagonal