Jacques Cohen
Joel Katcoff
- 1 BOOLE, G. A Treatise on the Calculus of Fznite D~fferences. G.E. Stechert, New York, 3rd ed. (reprint of 1872 2nd ed.), 1926.Google Scholar
- 2 COHEN, J., AND ROTH, M. On the implementation of Strassen's fast multipUcation algorithm. Acta Informatica 6, 4 (1976), 341-355.Google Scholar
- 3 ELSPAS, B. The semi-automatic generation of inductive assertions for proving program correctness. Interim Rep., Stanford Research Institute, Menlo Park, Calif., May 1976.Google Scholar
- 4 GOLDBEaG, S. Introductwn to Difference Equatwns. Wiley, New York, 1958.Google Scholar
- 5 GRAD, J., AND BREBNER, M.A. Algorithm 343 Eigenvalues and eigenvectors of a real general matrix. Collected Algorithms from ACM, Vol. II, IMSL, Houston, Tex.Google Scholar
- 6 HILDEBRAND, F.B. F~n~te D, fference Equatwns and S, mulations. Prentice-Hall, Englewood Chffs, N.J., 1968.Google Scholar
- 7 JENKINS, M.A., AND TRAVB, J.F. Algorithm 419: Zeros of a complex polynomial. Collected Algorithms from ACM, Vol. II, IMSL, Houston, Tex.Google Scholar
- 8 JOLLEY, L.B.W. Summation of Seines. Dover, New York, 1961.Google Scholar
- 9 JORDAN, C. Calculus of F~nite Differences. Chelsea, New York, 1950.Google Scholar
- 10 LEvr, H., AND LESSMAN, F. F,n, te Difference Equations. McMillan, New York, 1961.Google Scholar
- 11 LIV, C.L. introduction to Combinatorial Mathematics. McGraw-Hill, New York, 1968.Google Scholar
- 12 MOLER, C.B. Algorithm 423: Linear equation solver. Collected Algorithms from ACM, Vol. iI, IMSL, Houston, Tex.Google Scholar
- 13 MosEs, J. Algebraic simphfication: A guide for the perplexed. Comm. ACM 1~, 8 (Aug. 1971), 527-537. Google Scholar
- 14 WANG, P.S., AND ROTHSCHILD, L.P. Factoring multivariate polynomials over the integers. Math. Comput. 29, 131 (July 1975), 935-950.Google Scholar
- 15 WEGBREIT, B. Mechanical program analysis. Comm. ACM 18, 9 (Sept. 1975), 528-539. Google Scholar
Index Terms
- Symbolic Solution of Finite-Difference Equations
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