非线性方程求根 (Solution of Non-linear Equation) 掌握二分法、不动点迭代、牛顿迭代法等常用的非线性方程迭代算法;加深对不同算法 收敛速度、对初值的依赖性等的认识。
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通过对非线性方程求根牛顿迭代法的分析,给出牛顿迭代法的一种新的加速技巧,并通过数值算例验证所作的理论分析。数值结果表明该加速方法是行之有效的。
By analyzing the Newton iterative method for nonlinear equation, a new acceleration technique of Newton method is proposed. Numerical results indicate that the acceleration method is effective.
另外也有几堂课用来求解非线性方程式,包括求根;
Several lectures are devoted to solving non-linear equations, including root finding.
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