For the large sparse systems of weakly nonlinear equations arising in the discretizations of many classical differential and integral equations, this paper presents a class of asynchronous parallel multisplitting two-stage iteration methods for getting their solutions by the high-speed multiprocesso
✦ LIBER ✦
Asynchronous Multisplitting GAOR Method and Asynchronous Multisplitting SSOR Method for Systems of Weakly Nonlinear Equations
✍ Scribed by Mehdi Dehghan; Masoud Hajarian
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2010
- Tongue
- English
- Weight
- 264 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1660-5446
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In this paper, a partially asynchronous block Broyden method is presented for solving nonlinear systems of equations of the form F(x)= 0. Sufficient conditions that guarantee its local convergence are given. In particular, local convergence is shown when the Jacobian F'(x\*) is an H-matrix, where x\