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Upper eigenvalue bounds for pencils of matrices

✍ Scribed by Robert Beauwens

Book ID
107824990
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
784 KB
Volume
62
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

Eigenvalue bounds for some classes of P-
Eigenvalue bounds for some classes of P-matrices
✍ J. M. PeΓ±a πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 110 KB

## Abstract Eigenvalue bounds are provided. It is proved that the minimal eigenvalue of a __Z__‐matrix 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

On error bounds for eigenvalues of a mat
On error bounds for eigenvalues of a matrix pencil
✍ Mario Ahues; Balmohan Limaye πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 564 KB

An error bound for approximate eigenvalues of a complex n-dimensional pencil (A, B) is given. From our theorem several well-known bounds follow as corollaries. Our result takes into account the general residual AX -BXW, where X ~ C n x m and W ~ C mxm with m ~< n.