Error bounds for the Arnoldi method: a set of extreme eigenpairs
β Scribed by Leonid Knizhnerman
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 247 KB
- Volume
- 296
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
Let Ax = b be a system of linear equations where A is symmetric and positive definite. Suppose that the associated block Jacobi matrix B is consistently ordered, weekly cyclic of index 2, and convergent [i.e., I\_L~ := p(B) < 11. Consider using the overrelaxation methods (SOR, AOR, MSOR, SSOR, or US
Piet-Lahanier, H., S.M. Veres and E. Walter, Comparison of methods for solving sets of linear inequalities in the bounded-error context, Mathematics and Computers in Simulation 34 (1992) 515-524. Effective recursive updating of the solution set of linear inequalities has recently gained importance i
Let A be a positive definite, symmetric matrix. We wish to determine the largest eigenvalue, 1,. We consider the power method, i.e. that of choosing a vector v. and setting vk = Akvo; then the Rayleigh quotients Rk = (Auk, vk)/( ok, ok) usually converge to 21 as k -+ 03 (here (u, v) denotes their in
In this paper we study a finite element approximation of a steady viscoelastic fluid flow obeying an Oldroyd B type constitutive law. The approximate :stress, velocity, and pressure are, respectively, Pt discontinuous, Pz continuous, PI continuous. We use the method of characteristics for the convec