Information-based complexity (IBC) studies optimal algorithms and computational complexity for the continuous problems that arise in physical science, economics, engineering, and mathematical finance.
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Further reading
- Traub, J. F., Iterative Methods for the Solution of Equations, Prentice Hall, 1964. Reissued Chelsea Publishing Company, 1982; Russian translation MIR, 1985; Reissued American Mathematical Society, 1998
- Traub, J. F., and Woźniakowski, H., A General Theory of Optimal Algorithms, Academic Press, New York, 1980
- Traub, J. F., Woźniakowski, H., and Wasilkowski, G. W., Information, Uncertainty, Complexity, Addison-Wesley, New York, 1983
- Novak, E., Deterministic and Stochastic Error Bounds in Numerical Analysis, Lecture Notes in Mathematics, vol. 1349, Springer-Verlag, New York, 1988
- Traub, J. F., Woźniakowski, H., and Wasilkowski, G. W. (1988). Information-Based Complexity. New York: Academic Press. ISBN 978-0126975451.{{cite book}}: CS1 maint: multiple names: authors list (link)
- Werschulz, A. G., The Computational Complexity of Differential and Integral Equations: An Information-Based Approach, Oxford University Press, New York, 1991
- Kowalski, M., Sikorski, K., and Stenger, F., Selected Topics in Approximation and Computation, Oxford University Press, Oxford, UK, 1995
- Plaskota, L., Noisy Information and Computational Complexity, Cambridge University Press, Cambridge, UK, 1996
- Traub, J. F., and Werschulz, A. G., Complexity and Information, Oxford University Press, Oxford, UK, 1998
- Ritter, K., Average-Case Analysis of Numerical Problems, Springer-Verlag, New York, 2000
- Sikorski, K., Optimal Solution of Nonlinear Equations, Oxford University Press, Oxford, UK, 2001
Extensive bibliographies may be found in the monographs N (1988), TW (1980), TWW (1988) and TW (1998). The IBC website has a searchable data base of some 730 items.