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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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