add homework10

2025-11-23 16:16:53 -05:00
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+For problems (a) and (b), which have real roots, all methods converged; Newton's method was the fastest (quadratic), followed by the Secant method (superlinear), with the Chord method being the slowest (linear). However, for problem (c) (x^2 + 1), which has no real roots, all methods failed: the Chord method rapidly diverged to infinity, while Secant and Newton's method oscillated.
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				`For problems (a) and (b), which have real roots, all methods converged; Newton's method was the fastest (quadratic), followed by the Secant method (superlinear), with the Chord method being the slowest (linear). However, for problem (c) (x^2 + 1), which has no real roots, all methods failed: the Chord method rapidly diverged to infinity, while Secant and Newton's method oscillated.`