Consider the special case of the eigenvalue problem of Section 5.8: d2 dx2 + = 0 with
Chapter 5, Problem 5.8.10(choose chapter or problem)
Consider the special case of the eigenvalue problem of Section 5.8: d2 dx2 + = 0 with (0) = 0 and d dx(1) + (1) = 0. *(a) Determine the lowest eigenvalue to at least two or three significant figures using tables or a calculator. *(b) Determine the lowest eigenvalue using a root-finding algorithm (e.g., Newtons method) on a computer. (c) Compare either part (a) or (b) to the bound obtained using the Rayleigh quotient [see Exercise 5.6.1(c)].
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