On the convergence of a class of parallel decomposition-type relaxation methods
β Scribed by Zhongzhi Bai; Yangfeng Su
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 571 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0096-3003
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π SIMILAR VOLUMES
The standard implementations of iteratike solvers for finitc elcment and finite difercnce mcthods frequently use a diagonal (Jacobi) preconditioncr, particularly for element-by-element schemes. However, for such methods the actual order of the condition number with respect to mesh size is not reduce
## ON THE CONVERGENCE OF THE GENERALIZED MATRIX MULTISPLITTING RELAXED METHODS '2k(R1,\*1, QJ = (D -R ~E , -\*P,)-'[(I -Q1)D + (Q1-R J E ~ + ( a 1 -\*AF, 9LR2, + Q l h + Hk + W,)l (4) 0 2 ) = (D -R2,4 -\*2Hk>-'[(I -Qz)D + (Q, -Rz)p, + (Q, -\*JH,
Newton's method Divided difference Recurrence relations a b s t r a c t We introduce a three-step Chebyshev-Secant-type method (CSTM) with high efficiency index for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for (CSTM) using recurrence relatio