Quasi-real normal matrices and eigenvalue pairings
β Scribed by Geoffrey R. Goodson; Roger A. Horn; Dennis I. Merino
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 162 KB
- Volume
- 369
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π 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
We give bounds for the second real eigenvalue of nonegative matrices and Z-matrices. Furthermore, we establish upper bounds for the maximal spectral radii of principal submatrices of nonnegative matrices. Using these bounds, we prove that our inequality for the second real eigenvalue of the adjacenc
Eigenanalysis is common practice in biostatistics, and the largest eigenvalue of a data set contains valuable information about the data. However, to make inferences about the size of the largest eigenvalue, its distribution must be known. Johnstone's theorem states that the largest eigenvalues l 1