Bounds for determinants of matrices associated with classes of arithmetical functions
β Scribed by Shaofang Hong
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 644 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
## 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
Starting from recent formulas for calculating the permanents of some sparse circulant matrices, we obtain more general formulas expressing the permanents of a wider class of matrices as a linear combination of appropriate determinants.
function a b s t r a c t We investigate several properties of the linear Aouf-Silverman-Srivastava operator and associated classes of multivalent analytic functions which were introduced and studied by Aouf et al. [M.