采用两种不同的数学方法进行处理。推导出两对角线方程和块状两对角线方程,提出了两种相应的数值计算方法。本文的方法具有对初值要求不高和收敛迅速的特点-The model equations of the multicomponent multistage adiabatic flash process are handled by two different mathematical methods in the forms of di-diagonal matrix equation and block di-diagonal matrix equation, and the two new algorithms are developed. The numerical calculation shows that the new algorithms process has the features of being more rapid to convergency and less sensitive to the initial values