Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Need a MATLAB script to use the Power Method to estimate the dominant eigenvector and eigenvalue of a Matrix A given the following As 4

image text in transcribed

Need a MATLAB script to use the Power Method to estimate the dominant eigenvector and eigenvalue of a Matrix A given the following As 4 1 0 , starting vector x= 1 , and a tolerance of 0.001. The method uses an iterations technique such that when err goes below the tolerance (0.001), the algorithm converges (the calculation stops) and rn provides an estimation of the dominant eigenvector in unit form. Here, err is the change of direction between the iteration n-1 and n, err Irn-rnill and rn is just a unit vector of the dominant eigenvector. The number of iterations (n) may be found by plotting log(err) against n (Logarithmic convergence). The eigenvalue can then be approximated by multiplying rn by A one more time

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access with AI-Powered Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Students also viewed these Databases questions