Reference no: EM132390133

Assignment on Horner's Rule

Consider two polynomials a(x) = _k=0∑ⁿα_kx^n-k with α_k ∈ R, k = 0 : n and b(x) = _k=0∑^mβ_kx^m-k with β_k ∈ C, k = 0 : m and write efficient Matlab code that uses Horner's rule in order to compute a⁽²⁾ o b⁽¹⁾ (x) with X ∈ C.

Test your code on a, b and x given in the provided Matlab data file InpHorner_ab.

Recall that an algorithm is efficient when it is fast, it is not wasteful of storage, and does not produce unnecessarily inaccurate results. For the given data the answer is a⁽²⁾ o b⁽¹⁾ (x) = - (46.039 + 2.4881i) x 10² rounded to five significant digits.

Your hand out should include a brief theoretical discussion of how you proceed, along with your code and its results.

While testing your code you may find useful the build-in matlab function polyval.

Attachment:- Assignment Files.rar