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Conjugate gradient, assuming exact arithmetic, converges in at most n steps, where n is the size of the matrix of the system (here n = 2). The conjugate ...
3 Generalized Conjugate Gradient Methods. 19. 3.1 Basic Properties ....................................................................... 19. 3.2. Pseudo ...
We investigate the effect on the convergence behavior of Ritz values of multiplying the weight functions by certain functions of polynomial growth. This is ...
A note on the convergence behavior of GMRES - ScienceDirect.com
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In this note we generalize the results on the convergence behavior of GMRES for solving symmetric linear systems as discussed by Paige et al.
So, in general, GMERR does not converge to the exact solution, but it ultimately stagnates with some nonzero residual; see also [10]. For symmetric matrices A ...
Oct 26, 2011 · Convergence properties of the conjugate gradient method The conjugate gradient method can theoretically be viewed as a direct method, as it ...
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An iterative solution method is best characterized by being either a mono- tonically convergent minimization method or, more generally, just a projection method ...