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Convergence and stability of the Ritz method

✍ Scribed by A. Yu. Luchka

Book ID
112479898
Publisher
Springer
Year
1969
Tongue
English
Weight
201 KB
Volume
20
Category
Article
ISSN
0041-5995

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πŸ“œ SIMILAR VOLUMES

Convergent Ritz approximations of the se
Convergent Ritz approximations of the set of stabilizing controllers
✍ Arno Linnemann πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 128 KB

A necessary and su cient condition for linear exponential sums to be dense in Lp is derived. Under this condition a Ritz approximation converges, which has been proposed to solve linear control problems. State-space representations of orthonormal basis functions for multivariable systems are given.

Ritz and harmonic Ritz values and the co
Ritz and harmonic Ritz values and the convergence of FOM and GMRES
✍ Serge Goossens; Dirk Roose πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 95 KB

The Ritz and harmonic Ritz values are approximate eigenvalues, which can be computed cheaply within the FOM and GMRES Krylov subspace iterative methods for solving non-symmetric linear systems. They are also the zeros of the residual polynomials of FOM and GMRES, respectively. In this paper we show