ParabolicMethod.pdf - TUTORIAL 7 \u201cParabolic interpolation\u201d I OBJECT \u27a2 Understanding how to use and knowing the Parabolic interpolation to find an

ParabolicMethod.pdf - TUTORIAL 7 “Parabolic...

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1 TUTORIAL 7 “Parabolic interpolation” I. OBJECT Understanding how to use and knowing the Parabolic interpolation to find an optimize point of equation in MATLAB Understand the structure and could develop the algorithm of the Parabolic interpolation II. PROCESS and RESULT 1. Introduction Parabolic interpolation is a technique for finding the minimum of a unimodal continuous function by successively fitting parabolas (polynomials of degree 2) to the function at three unique points. At each iteration one of the old points is replaced with the minimum of the fitted parabola. The point at which the fitted parabola is minimized is the approximation of the solution A parabola is the” simplest” function with an extreme value, the extreme value is attained at b/2a The location of the maximum/minimum of a parabola defined as the interpolation of three points (x1, x2, and x3) is: 2. Parabolic interpolation Algorithm The following algorithm can be used to determine the maximum of a function f(x).
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