【摘要】 本文提出一种具有三阶收敛速度的一元方程迭代求根算法。该算法尤其适用于状态方程求根。其优点在于可避免误求出不合物理意义的增根，收敛范围广，收敛速度快，在二重根附近仍有二阶敛速，并且方法简单、编程容易。更多还原

【Abstract】 An iteration algorithm for solving single-variable equations is presented here.This algorithm has a 3rd-order convergence and is especially suitable for solving equations of state.It has advantages as follows: it can avoid getting the extraneous roots which has no physical significance, it can converge in a wide range and very fast,it still has a 2nd-order convergence even around multiple-root with less computing effort than that needed for conventional methods.更多还原