TAILIEUCHUNG - Lập Trình C# all Chap "NUMERICAL RECIPES IN C" part 169

Tham khảo tài liệu 'lập trình c# all chap "numerical recipes in c" part 169', công nghệ thông tin phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Golden Section Search in One Dimension 397 one-dimensional sub-minimization. Turn to for detailed discussion and implementation. The second family goes under the names quasi-Newton or variable metric methods as typified by the Davidon-Fletcher-Powell DFP algorithm sometimes referred to just as Fletcher-Powell or the closely related Broyden-Fletcher-Goldfarb-Shanno BFGS algorithm. These methods require of order N2 storage require derivative calculations and onedimensional sub-minimization. Details are in . You are now ready to proceed with scaling the peaks and or plumbing the depths of practical optimization. CITED REFERENCES AND FURTHER READING Dennis . and Schnabel . 1983 Numerical Methods for Unconstrained Optimization and Nonlinear Equations Englewood Cliffs NJ Prentice-Hall . Polak E. 1971 Computational Methods in Optimization New York Academic Press . Gill . Murray W. and Wright . 1981 PracticalOptimization New York Academic Press . Acton . 1970 Numerical Methods That Work 1990 corrected edition Washington Mathematical Association of America Chapter 17. Jacobs . ed. 1977 The State of the Art in Numerical Analysis London Academic Press Chapter . Brent . 1973 AlgorithmsforMinimizationwithoutDerivatives Englewood Cliffs NJ PrenticeHall . Dahlquist G. and Bjorck A. 1974 Numerical Methods Englewood Cliffs NJ Prentice-Hall Chapter 10. Golden Section Search in One Dimension Recall how the bisection method finds roots of functions in one dimension The root is supposed to have been bracketed in an interval a b . One then evaluates the function at an intermediate point x and obtains a new smaller bracketing interval either a x or x b . The process continues until the bracketing interval is acceptably small. It is optimal to choose x to be the midpoint of a b so that the decrease in the interval length is maximized when the function is as uncooperative as it can be . when the luck of the draw forces you to take the .

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