A new pair conjugate algorithm with an adaptive optimal step size

ABSTRACT<br /> In this paper, a new adapted optimal step-size is designed to improve the efficiency of pair conjugate method. At each linear search an acceptable step- size is estimated during quadratic interpolation and this estimate is used as an initial trial step-size. The technique needs...

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Bibliographic Details
Main Authors: Muna Ali (Author), Maha Al-Salih (Author), Abbas Al-Bayati (Author)
Format: Book
Published: College of Education for Pure Sciences, 1999-11-01T00:00:00Z.
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Summary:ABSTRACT<br /> In this paper, a new adapted optimal step-size is designed to improve the efficiency of pair conjugate method. At each linear search an acceptable step- size is estimated during quadratic interpolation and this estimate is used as an initial trial step-size. The technique needs only additional gradient evaluation at each search direction. Also we have improved Armijo line search technique to be used together with the new optimal stepsize.<br /> The numerical results are more efficient than the results of the same method using the classical scheme for the linear search technique.
Item Description:1812-125X
2664-2530
10.33899/edusj.1999.58726