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Prove Theorem 11.3. [Hint: To use Theorem 6.31, first show that |
Theorem 11.3 Suppose that p, q, and r are continuous on [a, b]. If q(x) ≥ 0 on [a, b], then the tridiagonal linear system (11.19) has a unique solution provided that h < 2/L, where L = maxa ≤ x ≤ b |p(x)|.
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