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In the paper we present a new descent algorithm with curve search rule for unconstrained minimization problems. At each iteration, the next iterative point is determined by means of a curve search rule. It is particular that the search direction and the step size is determined simultaneously at each iteration of the new algorithm. Similarly to conjugate gradient methods, the algorithm avoids the computation...
We propose a new trust region method that employs both the modified BFGS update and Amijio line search. The method exploits the information of function and gradient, and ensures the Hessian matrix of trust region subproblem positive-definite. At some assumptions, the global convergence and superlinear convergence property are proposed. Finally, numerical experiments show that the method is efficient.
The problem of deciding whether or not an arbitrary N-variable switching function is realizable with a single threshold element device is known to be convertible to the global minimization of a functional derivable from the given switching function. This functional is shown to consist of a structure of intersecting hyperplanes each of which is related to some threshold function. It is further shown...
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