牛顿-拉夫逊法 Resources

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This section provides a concise explanation of the general Newton-Raphson method. Given a function of variable X (Equation 4-6), the solution is obtained by starting from an appropriate initial approximation X(0) and iteratively applying Equation 4-7 until X(n) satisfies suitable convergence criteria. This method, known as Newton-Raphson, geometrically determines the next approximation X(n+1) by finding the intersection of the tangent line at point X(n) on the curve with the X-axis (refer to Figure 4-2(a)). Implementation requires careful selection of initial values and function properties to ensure convergence.

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