S. Babaie-Kafaki
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, P.O. Box 35195--363, Semnan, Iran.
[ 1 ] - Extensions of the Hestenes-Stiefel and Polak-Ribiere-Polyak conjugate gradient methods with sufficient descent property
Using search directions of a recent class of three--term conjugate gradient methods, modified versions of the Hestenes-Stiefel and Polak-Ribiere-Polyak methods are proposed which satisfy the sufficient descent condition. The methods are shown to be globally convergent when the line search fulfills the (strong) Wolfe conditions. Numerical experiments are done on a set of CUTEr unconstrained opti...
[ 2 ] - An eigenvalue study on the sufficient descent property of a modified Polak-Ribière-Polyak conjugate gradient method
Based on an eigenvalue analysis, a new proof for the sufficient descent property of the modified Polak-Ribière-Polyak conjugate gradient method proposed by Yu et al. is presented.
[ 3 ] - Matrix Approach to Robustness Analysis for Strategy Selection
This study aims to discuss the use of robustness analysis in evaluation and selection the strategies of an organization based on a matrix approach. The proposed technique can overcome the weakness of the robustness analysis model related to reviewing a few future scenarios and also, make it possible to in a short time include the ideas of the decision makers who participate in the strategic pla...
[ 4 ] - توسیعی از یک روش گرادیان مزدوج سه بخشی مبتنی بر مقادیر تابع هدف با تضمین همگرایی بدون فرض تحدب
With respect to importance of the conjugate gradient methods for large-scale optimization, in this study a descent three-term conjugate gradient method is proposed based on an extended modified secant condition. In the proposed method, objective function values are used in addition to the gradient information. Also, it is established that the method is globally convergent without convexity assu...
[ 5 ] - ارزیابی زیست محیطی روانکارهای خودرو با رویکرد چرخه حیات
Background and Objective: Today pollutants related to refineries and base oil products have caused many concerns about environment. Among these, the share of lubricants as one of the oil products is undeniable for causing environmental problems, harmful pollutants for men and global warming. Recently LCA as a beneficial tool is provided for finding solution to the environmental problems. The ai...
[ 6 ] - Robust high-dimensional semiparametric regression using optimized differencing method applied to the vitamin B2 production data
Background and purpose: By evolving science, knowledge, and technology, we deal with high-dimensional data in which the number of predictors may considerably exceed the sample size. The main problems with high-dimensional data are the estimation of the coefficients and interpretation. For high-dimension problems, classical methods are not reliable because of a large number of predictor variable...
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