Chapter 1, making use of the technique of pivoting operation, the technique of sequential systems of linear equations of studying constrained optimization problems and the idea of strongly subfeasible directions method and, several new algorithms for systems of nonlinear inequalities are presented 第一章,借助于转轴运算技术,序列线性方程组技术以及强次可行方向法思想,建立了非线性不等式组的序列线性方程组算法,算法的搜索方向由有唯一解的线性方程组的解及其校正产生。