2001Jisuanji yu yingyong huaxueRequires access

Solving Mathematical Model from Chemical Process by Quasi Newton Method

Ying Du

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Abstract

The sets of nonlinear equations can be solved by Quasi Newton method, and the calculated results show that it is more rapidly convergent than Jacobi iterative method and does not need partial derivatives of the functions involved in the equations while Newton\|Raphson method does. In order to improve iterative convergence, some measures were proposed such as introducing relaxation factor into iterative form, reducing the number of equations and replacing absolute step sizes h by relative step sizes .

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What this paper is about

The sets of nonlinear equations can be solved by Quasi Newton method, and the calculated results show that it is more rapidly convergent than Jacobi iterative method and does not need partial derivatives of the functions involved in the equations while Newton\|Raphson method does. In order to improve iterative convergence, some measures were proposed such as introducing relaxation factor into iterative form, reducing the number of equations and replacing absolute step sizes h by relative step sizes .

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Available abstract

The sets of nonlinear equations can be solved by Quasi Newton method, and the calculated results show that it is more rapidly convergent than Jacobi iterative method and does not need partial derivatives of the functions involved in the equations while Newton\|Raphson method does. In order to improve iterative convergence, some measures were proposed such as introducing relaxation factor into iterative form, reducing the number of equations and replacing absolute step sizes h by relative step sizes .

Key concepts: Local convergence, Convergence (economics), Relaxation (psychology), Iterative method, Newton's method, Applied mathematics, Nonlinear system, Newton's method in optimization

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