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1-Solving Equations

▶ Bisection Method.

▶ Corrected within p decimal places. image1

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▶ Fixed-Point Iteration, contractive mapping, convergence analysis.

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image4 这可以产生收敛的或发散的序列!

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image6 局部收敛性: S = |F ′ (x ∗ )| \< 1 收敛converge

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Error Analysis

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image10 ▶ Newton’s Method, modified newton’s method. image11

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