Applied Linear Algebra and Optimization Using MATLAB by Butt PhD R

Author:Butt PhD, R. [Butt PhD, R.]
Language: eng
Format: epub
Publisher: Mercury Learning and Information
Published: 2013-11-23T22:00:00+00:00

and their derivatives with respect to unknown variables a and b:

Since Newton's formula for the system of two nonlinear equations is

where

let us start with the initial approximation (a0, b0) = (8, 0), and the values of the functions at this initial approximation are as follows:

The Jacobian matrix J and its inverse J-1 at the given initial approximation can be computed as

and

Substituting all these values in the above Newton's formula, we get the first approximation as

Similarly, the second iteration using (a1, b1) = (9.48168, -0.86015) gives

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