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动力学参数数目与法方程条件数的关系

The Dependence of the Number of Kinetic Parameters on the Condition Number of Normal Equation
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摘要 The kinetics of isomerisation of 1-butene over Lu2O3/SiO2 catalyst has beeninvestigated by the flow-recirculation glass reactor. The heats of adsorption for 1-butene,2-butene and water were deteched by the pulse method. The kinetics of isomerizationof 1-butene obeys the L-H mechaniasm Kinetic equation. We observed that L-H kineticequation with two parameters is the good-conditioned equation. The L-H kinetic equation with more than three paramters is a ill-conditioned equation. The condition numberof normal equation increases with the increase of paramter numbers for kinetic equation.In addition, we observed that the condition number is not less than the square of ratio oflong to short in column vector for the coefficient matrix of contradiction equation. The kinetics of isomerisation of 1-butene over Lu2O3/SiO2 catalyst has beeninvestigated by the flow-recirculation glass reactor. The heats of adsorption for 1-butene,2-butene and water were deteched by the pulse method. The kinetics of isomerizationof 1-butene obeys the L-H mechaniasm Kinetic equation. We observed that L-H kineticequation with two parameters is the good-conditioned equation. The L-H kinetic equation with more than three paramters is a ill-conditioned equation. The condition numberof normal equation increases with the increase of paramter numbers for kinetic equation.In addition, we observed that the condition number is not less than the square of ratio oflong to short in column vector for the coefficient matrix of contradiction equation.
机构地区 北京大学化学系
出处 《物理化学学报》 SCIE CAS CSCD 北大核心 1995年第2期147-150,共4页 Acta Physico-Chimica Sinica
关键词 动力学 催化剂 氧化镥/氧化硅 参数估计 Lu_2O_3/SiO_2, Condition number, Kinetics
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参考文献4

  • 1俞启全,高等学校化学学报,1988年,9卷,612页
  • 2俞启全,北京大学学报,1986年,6期,17页
  • 3团体著者,最优化方法,1978年
  • 4Chou Chanhui,Ind Eng Chem,1958年,50卷,799页

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