On the rate of convergence of an alternating direction implicit method in a noncommutative case

Author:
Olof B. Widlund

Journal:
Math. Comp. **20** (1966), 500-515

MSC:
Primary 65.66

DOI:
https://doi.org/10.1090/S0025-5718-1966-0231551-9

MathSciNet review:
0231551

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References | Similar Articles | Additional Information

**[1]**G. Birkhoff & R. S. Varga, "Implicit alternating direction methods,"*Trans. Amer. Math. Soc.*, v. 92, 1959, pp. 13-24. MR**21**#4549. MR**0105814 (21:4549)****[2]**G. Birkhoff, R. S. Varga & D. M. Young, Jr.,*Alternating-Direction-Implicit Methods*, Advances in Computers, Vol. 3, Academic Press, New York, 1962. MR**0168131 (29:5395)****[3]**D. W. Peaceman & H. H. Rachford, Jr., "The numerical solution of parabolic and elliptic differential equations,"*J. Soc. Indust. Appl. Math.*, v. 3, 1955, pp. 28-41. MR**17**, 196. MR**0071874 (17:196d)****[4]**C. Pearcy, "On the convergence of alternating direction procedures,"*Numer. Math.*, v. 4, 1962, pp. 172-176. MR**26**#3206. MR**0145677 (26:3206)****[5]**R. S. Varga,*Matrix Iterative Analysis*, Prentice-Hall, Englewood Cliffs, N. J., 1962. MR**28**#1725. MR**0158502 (28:1725)****[6]**E. L. Wachspress,*Iterative Solution of Elliptic Systems and Applications to the Neutron Diffusion Equations of Reactor Physics*, Prentice-Hall, Englewood Cliffs, N. J., 1966. MR**0234649 (38:2965)**

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DOI:
https://doi.org/10.1090/S0025-5718-1966-0231551-9

Article copyright:
© Copyright 1966
American Mathematical Society