cot4501fa10_hw1 - 2 h (1) is used. See Section 8.6.1 for...

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Homework 1 (due Thursday, Sept. 9th 2010) September 2, 2010 Problems: Exercises 1.3, 1.4, 1.6, 1.7, 1.17, 1.24. Computer Problems: 1.4 Truncation and Rounding errors: Repeat Example 1.3 and derive the value of h for which the total error is minimized when the centered difference approx- imation f ( x ) f ( x + h ) - f ( x - h )
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Unformatted text preview: 2 h (1) is used. See Section 8.6.1 for the relationship between f ( x ) , the centered dif-ference formula and f ( x ) . Conceptually explain your result. Condition number: Evaluate the condition number for f ( x ) = x 2-1 . What happens at x = 1 ? Explain. 1...
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