Vol.19 No.2 宋波等：Fe液中Bi蒸气溶解平衡及第三组元的影响 ·217· Dissolution Equilibrium of Bismuth Vapor in Liquid Iron and the Interaction Effect of Third Element Song Bo Zhao Baodong Han Oiyong Liu Yong Applied Science School.UST Beijing,Beijing 100083.China ABSTRACT The dissolution equilibrium of Bi vapor in liquid iron and the interaction effect of third element were conducted in a sealed Mo reaction chamber by vapor pres- sure method.The relationship between the standard solution Gibbs free energy of Bi in liquid iron and temperature obtained can be expressed.The interaction coefficients of third elements on Bismuth in liquid iron at 1 873 K can be deduced. KEY WORDS bismuth,liquid iron,thermodynamic parameters,impurity 米米米米米米米米米米米米米米米采米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米米 (上接204页) 参考文献 1魏权龄，王日类，徐兵.数学规划引论.北京：北京航空航天大学出版社，1991.290 2 Wolfe P.Econometrica,1959,27(3):382 3陈开明.非线性规划.上海：复且大学出版社，1991.269 Modification to Wolfe's Simplex Method Liu Ping Ling Xiaodong?) 1)Information Engineering School.UST Beijing,Beijing 100083.China 2)CITIC Research Intemational ABSTRACT To guarantee the convergence of the algorithm,the short form of Wolfe's method requires the coefficients of the objective function and constraint equations to satisfy some specific conditions.The above conditions of the convergence theorem can be eliminated by the improved method. KEY WORDS quadratic programming,simplex method,numerical implementation宋波等 液 中 蒸气溶解 平衡及第三组元 的影 响 · 七 勘 助 ， ， ， 正 陇 任 面 面 ， ， ， 上 接 页 参 考 文 献 魏权龄 ， 王 日爽 ， 徐兵 数学规划 引论 北京 北京航空航 天大学 出版社 ， ， ， 陈开 明 非线性规划 上海 复旦大学 出版社 ， ， “ ， ， 加 ’ ， 刀 掩 代 ， ， 】 ，