find an extremum

  • 1Golden section search — The golden section search is a technique for finding the extremum (minimum or maximum) of a unimodal function by successively narrowing the range of values inside which the extremum is known to exist. The technique derives its name from the fact… …

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  • 2Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite …

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  • 3Scale-invariant feature transform — Feature detection Output of a typical corner detection algorithm …

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  • 4Lagrange multiplier — Figure 1: Find x and y to maximize f(x,y) subject to a constraint (shown in red) g(x,y) = c …

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  • 5Fermat's theorem (stationary points) — Fermat s theorem is a theorem in real analysis, named after Pierre de Fermat. It gives a method to find local maxima and minima of differentiable functions by showing that every local extremum of the function is a stationary point (the function… …

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  • 6Successive 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 the function at three unique points, and at each iteration replacing the oldest point… …

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  • 7Selection algorithm — In computer science, a selection algorithm is an algorithm for finding the kth smallest number in a list (such a number is called the kth order statistic). This includes the cases of finding the minimum, maximum, and median elements. There are… …

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  • 8Maximum likelihood — In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of a statistical model. When applied to a data set and given a statistical model, maximum likelihood estimation provides estimates for the model s… …

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  • 9Lagrange multipliers on Banach spaces — In the field of calculus of variations in mathematics, the method of Lagrange multipliers on Banach spaces can be used to solve certain infinite dimensional constrained optimization problems. The method is a generalization of the classical method …

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  • 10Archaeology of the Cross and Crucifix —     Archæology of the Cross and Crucifix     † Catholic Encyclopedia ► Archæology of the Cross and Crucifix     I. PRIMITIVE CRUCIFORM SIGNS     The sign of the cross, represented in its simplest form by a crossing of two lines at right angles,… …

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