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  3. let a cnxn be a matrix with the spectrum a(a) = {

Let A Cnxn be a matrix with the spectrum A(A) = {a, b, c,...

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Algebra

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Let A Cnxn be a matrix with the spectrum A(A) = {a, b, c, d, e} (if you prefer a concrete example let A(A) = {1,3+i, 3-i, 1/2+2i, 1/2-2i}). Each eigenvalue occurs with an algebraic multiplicity of roughly n/5.Explain why in general we can expect GMRES to converge in 5 steps.

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