A Conjugate Gradient Algorithm with Yuan-Wei-Lu Line Search

This paper presents a three term conjugate gradient algorithm and it has the following properties: (i) the sufficient descent property is satisfied; (ii) the algorithm has the global convergence for nonconvex functions; (iii) the numerical results are more effective than that of the normal algorithm.

[1]  Maojun Zhang,et al.  A three-terms Polak-Ribière-Polyak conjugate gradient algorithm for large-scale nonlinear equations , 2015, J. Comput. Appl. Math..

[2]  Naixue Xiong,et al.  Steganalysis of LSB matching using differences between nonadjacent pixels , 2016, Multimedia Tools and Applications.

[3]  Xingming Sun,et al.  Fast Motion Estimation Based on Content Property for Low-Complexity H.265/HEVC Encoder , 2016, IEEE Transactions on Broadcasting.

[4]  Bin Gu,et al.  Incremental Support Vector Learning for Ordinal Regression , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[5]  Xingming Sun,et al.  Enabling Personalized Search over Encrypted Outsourced Data with Efficiency Improvement , 2016, IEEE Transactions on Parallel and Distributed Systems.

[6]  Xingming Sun,et al.  Toward Efficient Multi-Keyword Fuzzy Search Over Encrypted Outsourced Data With Accuracy Improvement , 2016, IEEE Transactions on Information Forensics and Security.

[7]  Jorge Nocedal,et al.  Global Convergence Properties of Conjugate Gradient Methods for Optimization , 1992, SIAM J. Optim..

[8]  Xiwen Lu,et al.  Global convergence of BFGS and PRP methods under a modified weak Wolfe–Powell line search , 2017 .

[9]  C. M. Reeves,et al.  Function minimization by conjugate gradients , 1964, Comput. J..

[10]  M. Al-Baali Descent Property and Global Convergence of the Fletcher—Reeves Method with Inexact Line Search , 1985 .

[11]  D. Touati-Ahmed,et al.  Efficient hybrid conjugate gradient techniques , 1990 .

[12]  Yong Li,et al.  A Modified Hestenes and Stiefel Conjugate Gradient Algorithm for Large-Scale Nonsmooth Minimizations and Nonlinear Equations , 2015, Journal of Optimization Theory and Applications.

[13]  Ya-Xiang Yuan,et al.  A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property , 1999, SIAM J. Optim..

[14]  J. Daniel The Conjugate Gradient Method for Linear and Nonlinear Operator Equations , 1967 .

[15]  Weijun Zhou,et al.  A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence , 2006 .

[16]  C. Storey,et al.  Efficient generalized conjugate gradient algorithms, part 1: Theory , 1991 .

[17]  Bin Gu,et al.  A Robust Regularization Path Algorithm for $\nu $ -Support Vector Classification , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[18]  R. Fletcher Practical Methods of Optimization , 1988 .

[19]  M. Hestenes,et al.  Methods of conjugate gradients for solving linear systems , 1952 .

[20]  Boris Polyak The conjugate gradient method in extremal problems , 1969 .

[21]  William W. Hager,et al.  Algorithm 851: CG_DESCENT, a conjugate gradient method with guaranteed descent , 2006, TOMS.

[22]  William W. Hager,et al.  A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search , 2005, SIAM J. Optim..

[23]  Sam Kwong,et al.  Efficient Motion and Disparity Estimation Optimization for Low Complexity Multiview Video Coding , 2015, IEEE Transactions on Broadcasting.

[24]  Xingming Sun,et al.  Segmentation-Based Image Copy-Move Forgery Detection Scheme , 2015, IEEE Transactions on Information Forensics and Security.

[25]  Xiwen Lu,et al.  A conjugate gradient method with descent direction for unconstrained optimization , 2009, J. Comput. Appl. Math..

[26]  Jorge J. Moré,et al.  Benchmarking optimization software with performance profiles , 2001, Math. Program..

[27]  Guoyin Li,et al.  A modified Polak-Ribière-Polyak conjugate gradient algorithm for nonsmooth convex programs , 2014, J. Comput. Appl. Math..

[28]  Zhihua Xia,et al.  A Secure and Dynamic Multi-Keyword Ranked Search Scheme over Encrypted Cloud Data , 2016, IEEE Transactions on Parallel and Distributed Systems.

[29]  Xingming Sun,et al.  Structural Minimax Probability Machine , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[30]  C. Storey,et al.  Global convergence result for conjugate gradient methods , 1991 .

[31]  Xiwen Lu,et al.  A modified PRP conjugate gradient method , 2009, Ann. Oper. Res..

[32]  Liying Liu,et al.  The convergence properties of some new conjugate gradient methods , 2006, Appl. Math. Comput..

[33]  Zhihua Xia,et al.  A Privacy-Preserving and Copy-Deterrence Content-Based Image Retrieval Scheme in Cloud Computing , 2016, IEEE Transactions on Information Forensics and Security.