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Successive parabolic interpolation information


Successive parabolic interpolation is a technique for finding the extremum (minimum or maximum) of a continuous unimodal function by successively fitting parabolas (polynomials of degree two) to a function of one variable at three unique points or, in general, a function of n variables at 1+n(n+3)/2 points, and at each iteration replacing the "oldest" point with the extremum of the fitted parabola.

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Successive parabolic interpolation

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Successive parabolic interpolation is a technique for finding the extremum (minimum or maximum) of a continuous unimodal function by successively fitting...

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Inverse quadratic interpolation

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Interpolating f instead of the inverse of f gives Muller's method. Successive parabolic interpolation is a related method that uses parabolas to find extrema rather...

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Dynamic programming

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point of view, Dijkstra's algorithm for the shortest path problem is a successive approximation scheme that solves the dynamic programming functional equation...

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Successive linear programming

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Successive Linear Programming (SLP), also known as Sequential Linear Programming, is an optimization technique for approximately solving nonlinear optimization...

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List of numerical analysis topics

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Univariate optimization: Golden section search Successive parabolic interpolation — based on quadratic interpolation through the last three iterates General...

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Iterative method

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(\omega \neq 0)} Gauss–Seidel method: M := D + L {\displaystyle M:=D+L} Successive over-relaxation method (SOR): M := 1 ω D + L ( ω ≠ 0 ) {\displaystyle...

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Bayesian optimization

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Combinatorial optimization

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Greedy algorithm

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Branch and bound

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Simplex algorithm

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by a canonical tableau. The simplex algorithm proceeds by performing successive pivot operations each of which give an improved basic feasible solution;...

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Metaheuristic

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Integer programming

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Gradient descent

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Constrained optimization

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Quadratic programming

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Linear programming

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Liu Gang

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Discrete optimization

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Convex optimization

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Mathematical optimization

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finite differences, in which case a gradient-based method can be used. Interpolation methods Pattern search methods, which have better convergence properties...

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Big M method

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Ant colony optimization algorithms

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Augmented Lagrangian method

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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Nonlinear programming

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Functions Golden-section search Interpolation methods Line search Nelder–Mead method Successive parabolic interpolation Gradients Hessians Newton's method...

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