Use the Rayleigh quotient to obtain a (reasonably accurate) upper bound for the lowest

Chapter 5, Problem 5.6.1

(choose chapter or problem)

Use the Rayleigh quotient to obtain a (reasonably accurate) upper bound for the lowest eigenvalue of (a) d2 dx2 + ( x2) = 0 with d dx (0) = 0 and (1) = 0 (b) d2 dx2 + ( x) = 0 with d dx (0) = 0 and d dx (1) + 2(1) = 0 *(c) d2 dx2 + = 0 with (0) = 0 and d dx (1) + (1) = 0 (See Exercise 5.8.10.)

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