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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
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
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