• [1] David Young, Iterative methods for solving partial difference equations of elliptic type, Trans. Amer. Math. Soc. 76 (1954), 92–111. MR 0059635 (15,562b), http://dx.doi.org/10.1090/S0002-9947-1954-0059635-7
• [2] Stanley P. Frankel, Convergence rates of iterative treatments of partial differential equations, Math. Tables and Other Aids to Computation 4 (1950), 65–75. MR 0046149 (13,692e), http://dx.doi.org/10.1090/S0025-5718-1950-0046149-3
• [3] 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 0071874 (17,196d)
• [4] Jim Douglas Jr. and H. H. Rachford Jr., On the numerical solution of heat conduction problems in two and three space variables, Trans. Amer. Math. Soc. 82 (1956), 421–439. MR 0084194 (18,827f), http://dx.doi.org/10.1090/S0002-9947-1956-0084194-4
• [5] Gerard Debreu and I. N. Herstein, Nonnegative square matrices, Econometrica 21 (1953), 597–607. MR 0059240 (15,496f)
• [6] E. L. Wachspress, CURE: A generalized multigroup coding for the IBM-704, Report KAPL-1724 of the Knolls Atomic Power Laboratory, August, 1957.
• [7] G. Birkhoff and R. S. Varga, Implicit alternating direction methods, Report WAPD-T-650 of Westinghouse Electric Corp., October, 1957.
• [8] Jim Douglas Jr., A note on the alternating direction implicit method for the numerical solution of heat flow problems, Proc. Amer. Math. Soc. 8 (1957), 409–412. MR 0090876 (19,884g), http://dx.doi.org/10.1090/S0002-9939-1957-0090876-7

Bibliography

[1]

David Young, Iterative methods for solving partial difference equations of elliptic type, Trans. Amer. Math. Soc. vol. 76 (1954) pp. 92-111. MR 0059635 (15:562b)

[2]

S. Frankel, Convergence rates of iterative treatments of partial differential equations, Math. Tables and Other Aids to Computation vol. 4 (1950) pp. 65-75. MR 0046149 (13:692e)

[3]

D. W. Peaceman and H. H. Rachford, Jr., The numerical solution of parabolic and elliptic differential equations, J. Soc. Indust. Appl. Math. vol. 3 (1955) pp. 28-41. MR 0071874 (17:196d)

[4]

J. Douglas, Jr. and H. H. Rachford, Jr., On the numerical solution of heat conduction problems in two and three space variables, Trans. Amer. Math. Soc. vol. 82 (1956) pp. 421-439. MR 0084194 (18:827f)

[5]

Gerard Debreu and I. N. Herstein, Nonnegative square matrices, Econometrica vol. 21 (1953) pp. 597-607. MR 0059240 (15:496f)

[6]

E. L. Wachspress, CURE: A generalized multigroup coding for the IBM-704, Report KAPL-1724 of the Knolls Atomic Power Laboratory, August, 1957.

[7]

G. Birkhoff and R. S. Varga, Implicit alternating direction methods, Report WAPD-T-650 of Westinghouse Electric Corp., October, 1957.

[8]

Jim Douglas, Jr., A note on the alternating direction implicit method, Proc. Amer. Math. Soc. vol. 8 (1957) pp. 409-411. MR 0090876 (19:884g)