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Question 1

Using Matlab, perform four iterations of finding a root of the polynomial p(x) = x³ + 3x² + 5x - 7 starting with the points x₀ = 1, x₁ = 2, x₃ = 3.

Question 1

Using Matlab, perform four iterations of finding a root of the polynomial p(x) = x⁴ + 3x³ + 5x - 7 starting with the points x₀ = 1, x₁ = 2, x₃ = 3.

Question 3

Given the polynomial p = [2 3 5 2 1], the roots are approximately

-0.55786+1.21699j, -0.55786-1.21699j, -0.19214+0.49199j, -0.19214-0.49199j

First use deconv to divide out the first root, and then use it again on the answer to divide out the second root. Compare this to the answer when you divide out the product of the roots with deconv( p, [1 1.11572 1.79227] ). (We get the second from the formula (x - z)(x - z^*) = x² - 2ℜ(z) + |z|²).

Copyright ©2005 by Douglas Wilhelm Harder. All rights reserved.