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The Research of Equal Probability Newton Iterative Method to Mechanism Synthesis Approximate Synthesis

机译:相等概率牛顿迭代方法对机理合成与近似合成的研究

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摘要

Many questions in natural science and engineering are transformed into nonlinear equations to be found, Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. For the first time, utilizing an equal probability random number to produce initial value, a new method to find all solutions based on utilizing equal probability random number to obtain locate initial points to find all solutions of the nonlinear equations was proposed. The numerical examples in linkage synthesis and approximate synthesis show that the method is correct and effective.
机译:在自然科学和工程中的许多问题被转变为要发现的非线性方程,牛顿迭代方法是一维和多维变量的重要技术,迭代过程对初始猜测点表现出敏感的依赖性。首次利用相同的概率随机数来产生初始值,以利用相等的概率随机数找到所有解决方案的新方法,以获得查找初始点以找到非线性方程的所有解决方案。连杆合成和近似合成中的数值实例表明该方法是正确且有效的。

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