Use matalb to plot the computed eigenvector

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Reference no: EM131065099

Write a Matlab code implementing the inverse power method to compute approximations of the smallest eigenvalue λ₁ = π² of L and corresponding eigenfunctions. Use N = 500 and apply the algorithm to h^-2T_N. Start with a random initial guess, use normalization in the 2-norn, and stope when the difference of two subsequent approximate eigenvectors has 2-norm less than some prescribed tolerance τ. (e. g. τ = 10^-6).

(i) Report the number of iterations performed.

(ii) Compared approximations with exact eigenvalue/eigenvector pair.

(iii) Use matalb to plot the computed eigenvector.

Reference no: EM131065099

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