Matrix spaces with bounded number of eigenvalues
✍ Scribed by Matjaž Omladič; Peter Šemrl
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 861 KB
- Volume
- 249
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
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.
Bounds are derived for the real eigenvalues of a special matrix. Matrices of this form arise in the design of two-up one-down cascades for isotope separation.
Let S, (F) denote the space of all n x n symmetric matrices over the field F. Given a positive integer k such that k < n, let d(n, k, F) be the smallest integer f such that every f dimensional subspace of Sn(F) contains a nonzero matrix whose rank is at most k. It is our purpose to consider d(n,k,F)
In this paper, a method to design a bounded feedback control function which stabilizes a norm bounded uncertain linear system is proposed. The aim is to ensure a certain performance level in a neighbourhood (ellipsoid) of the origin, through pole placement and guaranteed cost feedback control. Outsi