Question: Let Tn be the tridiagonal matrix whose diagonal entries are all equal to 2 and whose sub- and superdiagonal entries all equal 1. Use the

Let Tn be the tridiagonal matrix whose diagonal entries are all equal to 2 and whose sub- and superdiagonal entries all equal 1. Use the power method to find the dominant eigenvalue of Tn for n = 10, 20. 50. Do your values agree with those in Exercise 8.2.47? How many iterations do you require to obtain 4 decimal place accuracy?

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For n 10 it takes 159 iterations to obtain 1 39189 2 ... View full answer

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