Purchase Solution

Eigenvector Estimation : Inverse Power Method

Not what you're looking for?

Ask Custom Question

Please see the attached file for the fully formatted problems.

Use the inverse power method to estimate the eigenvector corresponding to the eigenvalue with smallest absolute value for the matrix
-1 -2 -1
A= -2 -4 -3
2 2 1
where X0= [1,1,-1].
In finding A-1 use exact arithmetic with fractions.
ln applying the power method, calculate each of the next three iterates after Xo correct to 4 significant digits.

Purchase this Solution

Solution Summary

The inverse power method is used to estimate an eigenvector. the solution is detailed and well presented.

Solution Preview

Hello and thank you for posting your question to brainmass.
The solution is attached below in teo files.
The files are different only in their format. One is in Acrobat pdf format while the other is a MS-Word 2000 document.

However before you look at the solution, you might want to work the problem using the following steps:

1. Claculate the ...

Purchase this Solution

Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.