On optimal alternating direction parameters for singular matrices

On optimal alternating direction parameters for singular matrices
HTML articles powered by AMS MathViewer

by R. B. Kellogg and J. Spanier PDF

Math. Comp. 19 (1965), 448-452 Request permission

References

Garrett Birkhoff, Richard S. Varga, and David Young, Alternating direction implicit methods, Advances in Computers, Vol. 3, Academic Press, New York, 1962, pp. 189–273. MR 0168131
Carl de Boor and John R. Rice, Chebyshev approximation by $a\Pi {x-r_{i}\over x+s_{i}}$ and application to ADI iteration, J. Soc. Indust. Appl. Math. 11 (1963), 159–169. MR 161461
Jim Douglas Jr., Alternating direction methods for three space variables, Numer. Math. 4 (1962), 41–63. MR 136083, DOI 10.1007/BF01386295
Jim Douglas Jr. and Carl M. Pearcy, On convergence of alternating direction procedures in the presence of singular operators, Numer. Math. 5 (1963), 175–184. MR 154436, DOI 10.1007/BF01385888

Bettis Technical Review.

D. W. Peaceman and H. H. Rachford Jr., The numerical solution of parabolic and elliptic differential equations, J. Soc. Indust. Appl. Math. 3 (1955), 28–41. MR 71874

HOT-1: A Two Dimensional Steady-State Heat Conduction Program for the Philco-2000

Bettis Technical Review

Richard S. Varga, Matrix iterative analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. MR 0158502
E. L. Wachspress, Optimum alternating-direction-implicit iteration parameters for a model problem, J. Soc. Indust. Appl. Math. 10 (1962), 339–350. MR 150935
Eugene L. Wachspress, Extended application of alternating direction implicit iteration model problem theory, J. Soc. Indust. Appl. Math. 11 (1963), 994–1016. MR 169373
E. L. Wachspress and G. J. Habetler, An alternating-direction-implicit iteration technique, J. Soc. Indust. Appl. Math. 8 (1960), 403–424. MR 114308