Newton s divided difference interpolation
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Chapter 05.03 Newton’s Divided Difference Interpolation
mathforcollege.comNewton’s Divided Difference Interpolation 05.03.3 Figure 2 Linear interpolation. Example 1 The upward velocity of a rocket is given as a function of time in Table 1 (Figure 3). Table 1 Velocity as a function of time. t (s) v t ( ) (m/s) 0 0 10 227.04 15 362.78 20 517.35 22.5 602.97 30 …
Lagrange & Newton interpolation
flurry.dg.fmph.uniba.skLagrange & Newton interpolation In this section, we shall study the polynomial interpolation in the form of Lagrange and Newton. Given a se-quence of (n +1) data points and a function f, the aim is to determine an n-th degree polynomial which interpol-ates f at these points. We shall resort to the notion of divided differences.
Exponential Matrix and Their Properties
www.arcjournals.org3.2.4. A-Lagrange Interpolation Formula Let 1, 2,...., n be the distinct eigenvalues of a matrix A M n and f(t) is any function that is well defined at the eigenvalues of A, then the Lagrange formula for eA is k i k j i ji tAe t A i I i 1,. (7) 3.2.4.B- Newton's Divided Difference Interpolation Let A M n be a matrix with eigenvalues (A) 1, 2 ...