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szfxsy1
实验一:三次样条插值(P56,例6)
一、实验目的:
1) 掌握三次样条插值的运用
2) 了解拉格朗日插值在高次上的误差
二、实验环境:Matlab6.5
三、实验内容:
1) 给定函数f(x)=1/(1+x2),-5<=x<=5,节点xk=-5+k,(k=0,1,2…10),用三次样条插值求S10(x),S10’(-5)=f’(-5),S10’(5)=f’(5)。
2)作原函数f(x),拉格朗日插值函数Ln(x),三次样条差值函数Sn(x)。画出三个函数的图像,比较它们的区别。
(Experiment I: cubic spline interpolation (P56, cases of 6) First, the experiment was: 1) cubic spline interpolation to master the use of 2) understanding of Lagrange interpolation in high-error second, experimental environment: Matlab6 .5 c, experimental elements: 1) a given function f (x) = 1/(1+ x2),-5 <= x <= 5, node xk =- 5+ k, (k = 0,1,2 ... 10), using cubic spline interpolation for S10 (x), S10 (-5) = f (-5), S10 (5) = f (5). 2) for the original function f (x), the Lagrange interpolation function Ln (x), cubic spline difference function Sn (x). Draw the three functions of images, compare the difference between them.)
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efield2
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This book is a short, focused introduction to MATLAB, a comprehensive
software system for mathematics and technical computing. It will
be useful to bothbeginning and experienced users. It contains concise
explanations of essential MATLAB commands, as well as easily understood
instructions for using MATLAB’s programming features, graphical
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to SIMULINK, a companion to MATLAB for system simulation.
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Perform image processing, analysis, and algorithm development
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