Solving Mathematical Model from Chemical Process by Quasi Newton Method
Ying Du
Abstract
Ying Du
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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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