数值分析课件session-5 Approximating Functions.ppt

数值分析课件session-5 Approximating Functions.ppt

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1Summaryoflastsession

-Chapter4.SolvingSystemsofLinearEquations4.4NormsandtheAnalysisofErrorsVectornorms,MatrixNorms,ConditionNumber4.6SolutionofEquationsbyIterativeMethodsJacobimethod,Gauss-Seidelmethod,Generaliterationmethods,Richardsonmethod.

2Chapter6ApproximatingFunctions

36.0Introduction

46.1PolynomialInterpolation

-methodofundeterminedcoefficients

56.1PolynomialInterpolation

-methodofundeterminedcoefficients

66.1PolynomialInterpolation

-methodofundeterminedcoefficients

76.1PolynomialInterpolation

-Lagrangeinterpolationmethod

86.1PolynomialInterpolation

-Lagrangeinterpolationmethod

96.1PolynomialInterpolation

-Lagrangeinterpolationmethod

106.1PolynomialInterpolation

-Lagrangeinterpolationmethodx-2-1012y=2x0.250.5124

116.1PolynomialInterpolation

-Lagrangeinterpolationmethod

126.1PolynomialInterpolation

-Lagrangeinterpolationmethod

136.2PolynomialInterpolation

--Newtoninterpolation–divideddifference

146.2PolynomialInterpolation

-Newtoninterpolation–divideddifference

156.2PolynomialInterpolation

-Newtoninterpolation–divideddifference

166.2PolynomialInterpolation

-Newtoninterpolation–divideddifference

176.2PolynomialInterpolation

-Newtoninterpolation–divideddifference

186.2PolynomialInterpolation

-Newtoninterpolation–divideddifference

196.2PolynomialInterpolation

-Newtoninterpolation–divideddifference

206.2PolynomialInterpolation

-Newtoninterpolation–divideddifference

216.2PolynomialInterpolation

-Newtoninterpolation–divideddifference

226.2PolynomialInterpolation

-Newtoninterpolation–divideddifferencexif(xi)k=1k=2…k=nx0f(x0)1x1f(x1)f[x0,x1]x-x0x2f(x2)f[x1,x2]f[x0,x1,x2](x-x0)(x-x1)x3f(x3)f[x2,x3]f[x1,x2,x3](x-x0)(x-x1)(x-x2)x4f(x4)f[x3,x4]f[x2,x3,x4]…?

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