β Scribed by Zhong-Zhi Bai; Jia-Chang Sun; D.B. Szyld
No coin nor oath required. For personal study only.
AbstractmFor the system of linear equations resulting from the discretization of the one-dimensional Poisson equation, we investigate the influences of the multiple splittings and the weighting matrices upon the convergence rate of the parallel matrix multisplitting method. The results show that the convergence rate is only dependent on the sizes of the splittings, the degrees of the overlappings, and the distributions of the tasks, but independent of the quantities of the weightings. (~) 1998 Elsevier Science Ltd. All rights reserved. KeywordswMatrix multisplitting method, One-dimensional model problem, Asymptotic convergence rate.
π SIMILAR VOLUMES
## 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,
The point sound source model calculating the transfer matrix of thin acoustic cavities has been extensively utilized in analyzing certain mufflers. However, the computational result of the transfer matrix is not valid due to the singularity of the point source model. In this paper, a surface source