Upper and lower bounds in equations of forced vibration type
โ Scribed by J. H. Bramble; L. E. Payne
- Publisher
- Springer
- Year
- 1963
- Tongue
- English
- Weight
- 872 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let X and Y be Banach spaces, and let T : X -Y be a bounded linear operator with closed range. In this paper, we give optimal lower and upper bounds for the perturbation of consistent operator equations Tz = 1/, and more general least-squares problems in Hilbert spaces.
This paper proposes new two-sided matrix bounds of the solution for the continuous and discrete algebraic matrix Lyapunov equations. The coefficient matrix of the Lyapunov equation is assumed to be diayonalizable. The present matrix bounds can give a supplement to those results reported in the liter