=[1 1;4 5] Use four iterations of the power method starting with [1 1], to find an approximation to the dominant eigenvalue and a correspoinding approximate eigenvector. Work to 3 decimal places and estimate the eigenvalue using both the scale factor and the Rayleigh quotient Compare your answers with the exact eigenvalue, found by hand. Did the scale factor or the Rayleigh quotient
=[1 1;4 5] Use four iterations of the power method starting with [1 1], to find an approximation to the dominant eigenvalue and a correspoinding approximate eigenvector. Work to 3 decimal places and estimate the eigenvalue using both the scale factor and the Rayleigh quotient Compare your answers with the exact eigenvalue, found by hand. Did the scale factor or the Rayleigh quotient
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.5: Iterative Methods For Computing Eigenvalues
Problem 15EQ
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Let A=[1 1;4 5]
Use four iterations of the power method starting with [1 1], to find an approximation to the dominant eigenvalue and a correspoinding approximate eigenvector. Work to 3 decimal places and estimate the eigenvalue using both the scale factor and the Rayleigh quotient
Compare your answers with the exact eigenvalue, found by hand. Did the scale factor or the Rayleigh quotient give the better value
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