A Nonmonotone Line Search Filter Algorithm for the System of Nonlinear Equations
نویسندگان
چکیده
منابع مشابه
A Nonmonotone Line Search Filter Algorithm for the System of Nonlinear Equations
We present a new iterative method based on the line search filter method with the nonmonotone strategy to solve the system of nonlinear equations. The equations are divided into two groups; some equations are treated as constraints and the others act as the objective function, and the two groups are just updated at the iterations where it is needed indeed. We employ the nonmonotone idea to the ...
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In this paper, we propose a new method which based on the nonmonotone line search technique for solving symmetric nonlinear equations. The method can ensure that the search direction is descent for the norm function. Under suitable conditions, the global convergence of the method is proved. Numerical results show that the presented method is practicable for the test problems.
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An improved line search filter algorithm for the system of nonlinear equations is presented. We divide the equations into two groups, one contains the equations that are treated as equality constraints and the square of other equations is regarded as objective function. Two groups of equations are updated at every iteration in the works by Nie 2004, 2006, and 2006 , by Nie et al. 2008 , and by ...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2012
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2012/971468