Computer Aided Analysis Report

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COMPUTER AIDED ANALYSIS
By Name
Course
Instructor
Institution
Location
Date

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1. Methods used for solve non-linear equations.
Nonlinear equations are a classification of two or more equations with two or more variables
containing at least one equation that is not linear. Methods used to solve them include;
 Substitution method
 Quadratic formula
 Elimination method
 Factorization (Petkovic, et al., 2013, p. 76)
2. Why Newton-Rap son’s second method is more accurate than non-linear equations.
 It does so using quadratic method when the method converges-Quadratic equation
is an equation of the subsequent degree. That means it has at least one term which
is squared. This eases and simplifies the equations.
 The method is very simple to apply i.e. the method is very simple and easy to
articulate and solve as its basis is on the second degree level. (Fletcher, 2016,
p. 233)
 Has great local convergence. It is based on finding a root of a function and
comprises at the minimum of one term which is squared. This eases and simplifies
the equations.
3. Method used to solve a large number of simultaneous equations.
Linear equations system
The Linear algebra packages are used to calculate large number of simultaneous
equation. Linear equation has rational polynomial names
Kappa. Linear Solve command and option to find out unknown vector x in MAPLE 18.
(Fletcher, 2011, p. 347)

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Figure 1: Showing a sample of Linear Equations solution.
4. When considering using Cramer’s method to solve the problem [𝐴][𝑥] = {𝑏}, in what
situation would using Cramer’s method be considered error prone?
When considering using Cramer’s method, the method is considered error prone during the
evaluation of determinants (Kelley, 2016, p. 665).
5. The first phase of Gaussian elimination
The stages involved in Gaussian elimination include:
i. Examine the first column of matrix [A/b] beginning at the right top to the bottom for the
first and non-zero on your left bottom., and in case there is need, the next column (usually
in a scenario which has all its coefficients agreeing to the first variable are zero, the third
column and the series continuous. The entry obtained is referred to as the current pivot.
ii. If there is need, interchanging the row that has the current pivot with the first row can be
done.