Writing a Matlab Function for Cubic Polynomial Interpolation Algorithm

Related BrainMass Solutions

• Matlab Hermite Interpolation

  57079 Matlab Hermite Interpolation (See attached file for full problem description with equations) --- I need some guidance on a Matlab programming project. The project concerns Hermite polynomial interpolation.

• Lagrangian Interpolation

  NOTE: Find Lagrange p6(x) by hand and by using MATLAB function "polyfit", that is, cubic spline: write matlab program to solve the matrix with end condition 1.

• Write a program or programs to interpolate the data given below at the specified points using Neville iteration, Newton's interpolatory divided-difference formula, and a natural cubic spline.

  A great explanation for the cubic spline I found online, that contains the nice clear algorithm I used.

• Cubic polynomial interpolation

  38551 Cubic polynomial interpolation 1. a) Consider the problem of cubic polynomial interpolation p(xi) = yi, I = 0,1,23 with deg(p) ≤ 3 and x0, x1, x2, x3 distinct.

• Model Building and Parameter Estimation

  Write a MATLAB function that, given the time vector t and a value of a, returns a vector containing the gradient. Implement the Gauss-Newton algorithm as a MATLAB function that returns the estimated value of a and the resulting model y(t).

• Maclaurin Series, Lagrange Interpolation Polynomial and Newton's Interpolation Formulas

  The Lagrange interpolation polynomial may be compactly written as is a shape function. Sketch the shape function in a graphic form. 3. Write a forward and backward difference Newton's interpolation formulas based on the following data.

• Polynomial Interpolation - Newton's method

  For a function to be cubic spline it has to be of degree 3 and has to be continuous over the given interval, which in this case is between 0 and 4 (a) the function is of degree 3, it satisfies the first condition (b) the knots are at x = 1 and 3.

• Differentiation of Polynomials : Proofs

  Thanks for using BrainMass. Let g be a function which can be differenciated four times on the interval [-1,1]. Denote . 1) Show that when g is a polynomial of degree less than or equal to 3. Proof. We consider four cases.

• Newton-Raphson Algorithm Implemented in Matlab

  This solution implements a Newton-Raphson algorithm Matlab, using two separate scripts for the function whose zeros are sought and its derivative, and using the algorithm in a demo script.