On an iterative procedure for obtaining the Perron root of a positive matrix
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- by Richard Bellman
- Proc. Amer. Math. Soc. 6 (1955), 719-725
- DOI: https://doi.org/10.1090/S0002-9939-1955-0071863-X
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References
- Richard Bellman, An introduction to the theory of dynamic programming, The Rand Corporation, Santa Monica, Calif., 1953. MR 0061805 —, A survey of the theory of time-lag, retarded control and hereditary processes, RAND Report No. R-271, 1954.
- R. Bellman, Some functional equations in the theory of dynamic programming. I. Functions of points and point transformations, Trans. Amer. Math. Soc. 80 (1955), 51–71. MR 74692, DOI 10.1090/S0002-9947-1955-0074692-0 —, On a new iterative algorithm for finding the solutions of games and linear programming problems, Symposium on Monte Carlo Methods, University of Florida, March, 1954. R. Bellman and J. LaSalle, Non-zero sum games and stochastic processes, RAND Memorandum No. RM-271, 1949.
- L. S. Shapley, Stochastic games, Proc. Nat. Acad. Sci. U.S.A. 39 (1953), 1095–1100. MR 61807, DOI 10.1073/pnas.39.10.1953 J. von Neumann, Ergebnisse eines Math. Kolloquiums vol. 8 (1937) pp. 73-78.
- John von Neumann and Oskar Morgenstern, Theory of Games and Economic Behavior, Princeton University Press, Princeton, N.J., 1944. MR 0011937
Bibliographic Information
- © Copyright 1955 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 6 (1955), 719-725
- MSC: Primary 65.0X
- DOI: https://doi.org/10.1090/S0002-9939-1955-0071863-X
- MathSciNet review: 0071863