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水力学计算中常遇到非线性代数方程式,如明渠正常水深的计算等。数学中近似计算的迭代法是解这类非线性代数方程简单常用的方法,也经常用迭代法解线性代数方程组。迭代法有这些特性:迭代方程必须满足收敛条件;迭代结果与初值无关;迭代是一个逐步逼近的过程;要避免迭代的无穷循环必须设定一定精度的判别条件;迭代过程也可以进行超松弛和欠松弛修正。预示着做一件事:首先要选择一条正确的路线;无论现在的状态如何,只要沿着正确的路线走下去,都会达到预期的结果;不要寄希望于一蹴而就;调整好心态适可而止;善于总结经验教训可提高效率。
Hydrodynamic calculations often encounter nonlinear algebraic equations, such as the normal channel depth calculation. The iterative method of approximate calculation in mathematics is a simple and commonly used method for solving such nonlinear algebraic equations, and the linear algebraic equations are often solved by iterative methods. The iterative method has these characteristics: the iterative equation must satisfy the convergence condition; the iterative result has nothing to do with the initial value; the iteration is a process of gradual approximation; to avoid infinite loop of iteration, a certain accuracy criterion must be set; and the iterative process can also be over-relaxed And due to relaxation correction. Heralding one thing: first of all, to choose the right one; whatever the present state, as long as you follow the right path, you will achieve the desired result; do not expect to get it done overnight; Lessons can improve efficiency.