Wiki source for PubOptimization
===== Publications - Optimization =====
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=== Refereed Journal Articles ===
~1) Juliang Zhang, Yong Shi, Peng Zhang, Several multi-criteria programming methods for classification, //Computers and Operations Research//,Vol.36, No.3, 823-836,2009.
~1) Juliang Zhang, Lingyun Wu, Xiangsun Zhang, A trust region method for optimization problem with singular solutions, //Applied Mathematics and Optimization//, Vol.56,No.3 379–394,2007.
~1) J.-L. Zhang, Y. Wang and X.-S. Zhang. A superlinearly convergent trust region method without assumption of positive definite Hessian. //J. of Optimization Theory and Application//, Vol. 129, No. 1, 2006.
~1)Juliang Zhang, A robust trust region method for nonlinear optimization with inequality constraint, //Applied Mathematics and Computation//, Vol 176/2 pp 688-699，2006.
~1)Juliang Zhang, Jian Chen, A New Noninterior Predictor–Corrector Method for the P0 LCP，//Applied Mathematics and Optimization//, Vol.53, No.1, 79-100, 2006
~1)Juliang Zhang, Xiangsun Zhang, A smoothing Levenberg–Marquardt method for NCP, //Applied Mathematics and Computation//, Vol 178/2, pp 212-228, 2006
~1) Zhongwen Chen and Xiang-Sun Zhang, A nonmonotone trust-region algorithm with nonmonotone penalty parameters for constrained optimization. //Journals of Computational and Applied Mathematics//, Vol. 172, pp. 7-39, 2004.
~1) J.-L. Zhang, X.-S. Zhang and Y.-M. Su. Predictor-corrector smoothing methods for monotone LCP. //Acta Mathematicae Applicatae Sinica, English Series//, Vol. 20, No. 4, pp. 557-572, 2004.
~1) Naihua Xiu, Yiju Wang, and X.-S. Zhang. Modified fixed-point equations and related iterative methods for variational inequalities. //Computers and Mathematics with Applications//, Vol. 47, pp. 913-920, 2004.
~1) J.-L. Zhang and Y. Wang. A new trust region method for nonlinear equations. //Mathematical Method of Operational Research//, Vol. 58, No. 3, 283-298, 2003.
~1) J.-L. Zhang and X.-S. Zhang. A sequential penalty algorithm for nonlinear constrained optimization. //J. of Optimization Theory and Application//, Vol. 118, No. 3, pp. 635-655, 2003.
~1) J.-L. Zhang and X.-S. Zhang. An adaptive trust region method for equality constrained optimization. //J. System Sciences and Complexity//, Vol. 16, No. 4, pp. 494-505, 2003.
~1) J.-L. Zhang and X.-S. Zhang. A predictor-corrector method for convex quadratic programming. //Journal of Systems Science and Mathematical Sciences//, Vol. 23, No. 3, pp. 366-372, 2003. (in Chinese)
~1) J.-L. Zhang and X.-S. Zhang. A nonmonotone adaptive trust region method and its convergence. //Computers and Mathematics with Applications//, Vol. 45, pp. 1469-1477, 2003.
~1) J.-L. Zhang, X.-S. Zhang and X.J. Zhuo. A robust SQP method for optimization with inequality constraints. //J. of Computational Mathematics//, Vol. 21, No. 2, pp. 247-256, 2003.
~1) J.-L. Zhang, X.-S. Zhang and Z.W. Chen. On the convergence of a trust region method for general constrained optimization without regular condition. //Acta Mathematicae Applicatae Sinica//, Vol. 26, No. 1, pp. 1-10, 2003.
~1) L.-P. Zhang and X.-S. Zhang, Global linear and quadratic one-step smoothing Newton method for $P_0$-LCP. //Journal of Global Optimization//, Vol. 25, No. 4, pp. 363-376, 2003.
~1) J.-L. Zhang, X.-S. Zhang and X.-J. Zhuo. On the global convergence of a trust region method without regularity conditions. //Mathematica Numerica Sinica//, Vol. 24, No. 4, pp. 437-450, 2002. (in Chinese)
~1) J.-L. Zhang and X.-S. Zhang. A SQP method for inequality constrained optimization. //Acta Mathematicae Applicatae Sinica, English Series//, Vol. 18, No. 1, pp. 77-84, 2002.
~1) Xiang-Sun Zhang, Ju-Liang Zhang and Li-Zhi Liao. An adaptive trust region method and its convergence. //Science in China (Series A)//, Vol. 45, No. 5, pp. 620-631, 2002.
~1) J.-L. Zhang and X.-S. Zhang. A robust SQP method based on a smoothing approximate penalty function for inequality constrained optimization. //Journal of Systems Science and Complexity//, Vol. 15, No. 1, pp. 102-112, 2002.
~1) Zhongwen Chen and Xiang-Sun Zhang. A trust-region and affine scaling algorithm for linearly constrained optimization. //Science in China (Series A)//, Vol. 45, No. 7, pp. 1-9, 2002.
~1) Ju-Liang Zhang and Xiang-Sun Zhang. A quasi-Newton--trust region method for equality constrained optimization and its convergence properties. //OR Transactions//, Vol. 5, No. 4, pp. 72-80, 2001.
~1) Ju-Liang Zhang and Xiang-Sun Zhang. A modified SQP method with nonmonotone linesearch technique. //Journal of Global Optimization//, Vol. 21, No. 2, pp. 201-218, 2001.
~1) Ju-Liang Zhang and Xiang-Sun Zhang. A SQP method based on smoothing penalty function for nonlinear optimization with inequality constraint. //J. of Systems Science and Complexity//, Vol. 14, No. 2, pp. 212-217, 2001.
~1) Ju-Liang Zhang and Xiang-Sun Zhang. A SQP method for equality constrained optimization and its convergence. //Acta Mathematicae Applicatae Sinica//, Vol. 24, No. 1, pp. 1-9, 2001. (in Chinese)
~1) X.-S. Zhang, Z.-W.Chen and J.-L.Zhang. A self-adaptive trust region method for unconstrained optimization. //OR Transactions//, Vol. 5, No. 1, pp. 53-62, 2001.
~1) Ju-Liang Zhang and Xiang-Sun Zhang. A smoothing approximation to the exact penalty function for optimization with inequality constraints. //J. Sys. Sci. & Math. Scis//, Vol. 20, No. 4, pp. 499-505, 2000.
~1) X.-S. Zhang. A unified approach for design of LP polynomial algorithms. //Journal of Engineering//, Vol. 7, No. 3, pp. 155-160, 1994.
~1) X.-S. Zhang. Stability study of linear programming with parameters. //Journal of Qufu Normal University//, Vol. 19, No. 1, pp. 37-43, 1993. (in Chinese)
~1) X.-S. Zhang, J.-C. Cui and D.-G. Liu. A survey of the development of sensitivity analysis in parametric LP. //Mathematics in Practice and Theory//, No. 4, pp. 41-48, 1991. (in Chinese)
~1) D.-Z Du, F. Wu and X.-S Zhang. Why the objective function is nonlinearized in interior point methods for linear programming? //Mathematics in Practice and Theory//, No. 2, pp. 63-68, 1990. (in Chinese)
~1) X.-S. Zhang and D.-Z. Du. Extended binary search and it's application in design of polynomial-time algorithm for LP. //Systems Science and Mathematical Sciences//, Vol. 10, No. 4, pp. 371-376, 1990. (in Chinese)
~1) D.-Z. Du, F. Wu and X.-S. Zhang. On Rosen's gradient projection methods. //Annals of Operations Research//, Vol. 24, pp. 11-28, 1990.
~1) X.-S. Zhang and D.-G. Liu. A note on the continuity of solutions of parametric linear programs. //Mathematical Programming//, Vol. 47, pp. 143-153, 1990.
~1) J.-J. Niu and X.-S. Zhang. Discussion on the possibility of applying the concepts and methods of nonlinear programming to design polynomial algorithm of linear programming. //Journal of Qufu Normal University, Natural Science Edition//, Vol. 15, No. 4, pp. 8-14, 1989. (in Chinese)
~1) D.-Z. Du and X.-S. Zhang. On a new gradient projection method. //Systems Science and Mathematical Sciences//, Vol. 2, No. 2, pp. 184-192, 1989.
~1) D.-Z. Du and X.-S. Zhang. Global convergence of Rosen's gradient projection method. //Mathematical Programming//, Vol. 44, No. 3, pp. 357-366, 1989.
~1) X.-S. Zhang. Discussion on the convergence of Rosen's gradient projection method. //Acta Mathematicae Applicatae Sinica (English Series)//, Vol. 3, No. 3, pp. 280-288, 1987.
~1) D.-Z. Du and X.-S. Zhang. Global convergence of Rosen's gradient projection method. //Chinese Journal of Operations Research//, Vol. 6, No. 2, pp. 73-74, 1987. (in Chinese)
~1) D.-Z. Du and X.-S. Zhang. A convergence theorem of Rosen's gradient projection method. //Mathematical Programming//, Vol. 36, No. 2, pp. 135-144, 1986.
~1) X.-S. Zhang and J.B. Rosen. Global minimization of concave program. //Mathematics in Economics//, Vol. 1, No. 1, pp. 121-138, 1985. (in Chinese)
~1) X.-S. Zhang. A discussion on the convergence of Rosen's gradient projection method. //Acta Mathematicae Applicatae Sinica//, Vol. 8, No. 1, pp. 125-128, 1985. (in Chinese)
~1) X.-S. Zhang. A survey of deterministic methods for searching global optimum. //Chinese J. of Operations Research//, Vol. 3, No. 2, pp. 1-13, 1984. (in Chinese)
~1) X.-S. Zhang. On convergence of gradient projection method of nonlinear constraints problem. //Chinese Journal of Operations Research//, Vol. 1, No. 1, 1982. (in Chinese)
~1) X.-S. Zhang. Discussion on Polak's algorithm of nonlinear programming. //Acta Mathematicae Applicatae Sinica//, Vol. 4, No. 1, pp. 1-13, 1981. (in Chinese)
~1) X.-S. Zhang. An improved Rosen-Ploak method. //Acta Mathematicae Applicatae Sinica//, Vol. 2, No. 3, pp. 257-267, 1979. (in Chinese)
=== Proceedings Articles ===
~1) Hong-Wei Liu.---**[[http://www.aporc.org/LNOR/12/ISORA2010F33.pdf Global Convergence of the Non-Quasi-Newton Method with Non-Monotone Line Search for Unconstrained Optimization Problem]].**---The Ninth International Symposium on Operations Research and Its Applications (ISORA’10), pp. 270-279
~1) Ting-Ting Gao, Zhi-Xia Yang, Ling Jing. [[http://www.aporc.org/LNOR/10/ISORA2009F59.pdf On Universum-Support Vector Machines]], Operations Research and Its Applications, Lecture Notes in Operations Research, 10, pp. 473-480, World Publishing Corporation, Zhangjiajie, 2009.
~1) Zhi-Xia Yang, Naiyang Deng. [[http://www.aporc.org/LNOR/10/ISORA2009F60.pdf Multi-instance Support Vector Machine Based on Convex Combination]], Operations Research and Its Applications, Lecture Notes in Operations Research, 10, pp. 481-487, World Publishing Corporation, Zhangjiajie, 2009.
~1) Zhen-Jun Shi and Xiang-Sun Zhang. Convergence analysis of adaptive trust region methods. Report of Research, IAM-R002, Institute of Applied Mathematics, AMSS, CAS, 2005.
~1) Zhen-Jun Shi and Xiang-Sun Zhang. From line search method to trust region method. //Operations Research and Its Applications, Lecture Notes in Operations Research//, Vol. 5, pp. 156-170, World Publishing Corporation, Beijing, 2005.
~1) Xiang-Sun Zhang and Ju-Liang Zhang. A quasi-Neuton-trust region method for equality constrained optimization and its convergence properties. //Proceedings of the Sixth National Conference of Operations Research Society of China//, pp. 998-1005, Global-Link Publishing Company, Hong Kong, 2000.
~1) Sheng Li and Xiang-Sun Zhang. Some useful numerical examples in discussion on continuity of solutions of parametric linear programming. //Proceedings of APORS'91//, pp. 501-508, Peking University Press, Beijing, 1992.
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CategoryPublication
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=== Refereed Journal Articles ===
~1) Juliang Zhang, Yong Shi, Peng Zhang, Several multi-criteria programming methods for classification, //Computers and Operations Research//,Vol.36, No.3, 823-836,2009.
~1) Juliang Zhang, Lingyun Wu, Xiangsun Zhang, A trust region method for optimization problem with singular solutions, //Applied Mathematics and Optimization//, Vol.56,No.3 379–394,2007.
~1) J.-L. Zhang, Y. Wang and X.-S. Zhang. A superlinearly convergent trust region method without assumption of positive definite Hessian. //J. of Optimization Theory and Application//, Vol. 129, No. 1, 2006.
~1)Juliang Zhang, A robust trust region method for nonlinear optimization with inequality constraint, //Applied Mathematics and Computation//, Vol 176/2 pp 688-699，2006.
~1)Juliang Zhang, Jian Chen, A New Noninterior Predictor–Corrector Method for the P0 LCP，//Applied Mathematics and Optimization//, Vol.53, No.1, 79-100, 2006
~1)Juliang Zhang, Xiangsun Zhang, A smoothing Levenberg–Marquardt method for NCP, //Applied Mathematics and Computation//, Vol 178/2, pp 212-228, 2006
~1) Zhongwen Chen and Xiang-Sun Zhang, A nonmonotone trust-region algorithm with nonmonotone penalty parameters for constrained optimization. //Journals of Computational and Applied Mathematics//, Vol. 172, pp. 7-39, 2004.
~1) J.-L. Zhang, X.-S. Zhang and Y.-M. Su. Predictor-corrector smoothing methods for monotone LCP. //Acta Mathematicae Applicatae Sinica, English Series//, Vol. 20, No. 4, pp. 557-572, 2004.
~1) Naihua Xiu, Yiju Wang, and X.-S. Zhang. Modified fixed-point equations and related iterative methods for variational inequalities. //Computers and Mathematics with Applications//, Vol. 47, pp. 913-920, 2004.
~1) J.-L. Zhang and Y. Wang. A new trust region method for nonlinear equations. //Mathematical Method of Operational Research//, Vol. 58, No. 3, 283-298, 2003.
~1) J.-L. Zhang and X.-S. Zhang. A sequential penalty algorithm for nonlinear constrained optimization. //J. of Optimization Theory and Application//, Vol. 118, No. 3, pp. 635-655, 2003.
~1) J.-L. Zhang and X.-S. Zhang. An adaptive trust region method for equality constrained optimization. //J. System Sciences and Complexity//, Vol. 16, No. 4, pp. 494-505, 2003.
~1) J.-L. Zhang and X.-S. Zhang. A predictor-corrector method for convex quadratic programming. //Journal of Systems Science and Mathematical Sciences//, Vol. 23, No. 3, pp. 366-372, 2003. (in Chinese)
~1) J.-L. Zhang and X.-S. Zhang. A nonmonotone adaptive trust region method and its convergence. //Computers and Mathematics with Applications//, Vol. 45, pp. 1469-1477, 2003.
~1) J.-L. Zhang, X.-S. Zhang and X.J. Zhuo. A robust SQP method for optimization with inequality constraints. //J. of Computational Mathematics//, Vol. 21, No. 2, pp. 247-256, 2003.
~1) J.-L. Zhang, X.-S. Zhang and Z.W. Chen. On the convergence of a trust region method for general constrained optimization without regular condition. //Acta Mathematicae Applicatae Sinica//, Vol. 26, No. 1, pp. 1-10, 2003.
~1) L.-P. Zhang and X.-S. Zhang, Global linear and quadratic one-step smoothing Newton method for $P_0$-LCP. //Journal of Global Optimization//, Vol. 25, No. 4, pp. 363-376, 2003.
~1) J.-L. Zhang, X.-S. Zhang and X.-J. Zhuo. On the global convergence of a trust region method without regularity conditions. //Mathematica Numerica Sinica//, Vol. 24, No. 4, pp. 437-450, 2002. (in Chinese)
~1) J.-L. Zhang and X.-S. Zhang. A SQP method for inequality constrained optimization. //Acta Mathematicae Applicatae Sinica, English Series//, Vol. 18, No. 1, pp. 77-84, 2002.
~1) Xiang-Sun Zhang, Ju-Liang Zhang and Li-Zhi Liao. An adaptive trust region method and its convergence. //Science in China (Series A)//, Vol. 45, No. 5, pp. 620-631, 2002.
~1) J.-L. Zhang and X.-S. Zhang. A robust SQP method based on a smoothing approximate penalty function for inequality constrained optimization. //Journal of Systems Science and Complexity//, Vol. 15, No. 1, pp. 102-112, 2002.
~1) Zhongwen Chen and Xiang-Sun Zhang. A trust-region and affine scaling algorithm for linearly constrained optimization. //Science in China (Series A)//, Vol. 45, No. 7, pp. 1-9, 2002.
~1) Ju-Liang Zhang and Xiang-Sun Zhang. A quasi-Newton--trust region method for equality constrained optimization and its convergence properties. //OR Transactions//, Vol. 5, No. 4, pp. 72-80, 2001.
~1) Ju-Liang Zhang and Xiang-Sun Zhang. A modified SQP method with nonmonotone linesearch technique. //Journal of Global Optimization//, Vol. 21, No. 2, pp. 201-218, 2001.
~1) Ju-Liang Zhang and Xiang-Sun Zhang. A SQP method based on smoothing penalty function for nonlinear optimization with inequality constraint. //J. of Systems Science and Complexity//, Vol. 14, No. 2, pp. 212-217, 2001.
~1) Ju-Liang Zhang and Xiang-Sun Zhang. A SQP method for equality constrained optimization and its convergence. //Acta Mathematicae Applicatae Sinica//, Vol. 24, No. 1, pp. 1-9, 2001. (in Chinese)
~1) X.-S. Zhang, Z.-W.Chen and J.-L.Zhang. A self-adaptive trust region method for unconstrained optimization. //OR Transactions//, Vol. 5, No. 1, pp. 53-62, 2001.
~1) Ju-Liang Zhang and Xiang-Sun Zhang. A smoothing approximation to the exact penalty function for optimization with inequality constraints. //J. Sys. Sci. & Math. Scis//, Vol. 20, No. 4, pp. 499-505, 2000.
~1) X.-S. Zhang. A unified approach for design of LP polynomial algorithms. //Journal of Engineering//, Vol. 7, No. 3, pp. 155-160, 1994.
~1) X.-S. Zhang. Stability study of linear programming with parameters. //Journal of Qufu Normal University//, Vol. 19, No. 1, pp. 37-43, 1993. (in Chinese)
~1) X.-S. Zhang, J.-C. Cui and D.-G. Liu. A survey of the development of sensitivity analysis in parametric LP. //Mathematics in Practice and Theory//, No. 4, pp. 41-48, 1991. (in Chinese)
~1) D.-Z Du, F. Wu and X.-S Zhang. Why the objective function is nonlinearized in interior point methods for linear programming? //Mathematics in Practice and Theory//, No. 2, pp. 63-68, 1990. (in Chinese)
~1) X.-S. Zhang and D.-Z. Du. Extended binary search and it's application in design of polynomial-time algorithm for LP. //Systems Science and Mathematical Sciences//, Vol. 10, No. 4, pp. 371-376, 1990. (in Chinese)
~1) D.-Z. Du, F. Wu and X.-S. Zhang. On Rosen's gradient projection methods. //Annals of Operations Research//, Vol. 24, pp. 11-28, 1990.
~1) X.-S. Zhang and D.-G. Liu. A note on the continuity of solutions of parametric linear programs. //Mathematical Programming//, Vol. 47, pp. 143-153, 1990.
~1) J.-J. Niu and X.-S. Zhang. Discussion on the possibility of applying the concepts and methods of nonlinear programming to design polynomial algorithm of linear programming. //Journal of Qufu Normal University, Natural Science Edition//, Vol. 15, No. 4, pp. 8-14, 1989. (in Chinese)
~1) D.-Z. Du and X.-S. Zhang. On a new gradient projection method. //Systems Science and Mathematical Sciences//, Vol. 2, No. 2, pp. 184-192, 1989.
~1) D.-Z. Du and X.-S. Zhang. Global convergence of Rosen's gradient projection method. //Mathematical Programming//, Vol. 44, No. 3, pp. 357-366, 1989.
~1) X.-S. Zhang. Discussion on the convergence of Rosen's gradient projection method. //Acta Mathematicae Applicatae Sinica (English Series)//, Vol. 3, No. 3, pp. 280-288, 1987.
~1) D.-Z. Du and X.-S. Zhang. Global convergence of Rosen's gradient projection method. //Chinese Journal of Operations Research//, Vol. 6, No. 2, pp. 73-74, 1987. (in Chinese)
~1) D.-Z. Du and X.-S. Zhang. A convergence theorem of Rosen's gradient projection method. //Mathematical Programming//, Vol. 36, No. 2, pp. 135-144, 1986.
~1) X.-S. Zhang and J.B. Rosen. Global minimization of concave program. //Mathematics in Economics//, Vol. 1, No. 1, pp. 121-138, 1985. (in Chinese)
~1) X.-S. Zhang. A discussion on the convergence of Rosen's gradient projection method. //Acta Mathematicae Applicatae Sinica//, Vol. 8, No. 1, pp. 125-128, 1985. (in Chinese)
~1) X.-S. Zhang. A survey of deterministic methods for searching global optimum. //Chinese J. of Operations Research//, Vol. 3, No. 2, pp. 1-13, 1984. (in Chinese)
~1) X.-S. Zhang. On convergence of gradient projection method of nonlinear constraints problem. //Chinese Journal of Operations Research//, Vol. 1, No. 1, 1982. (in Chinese)
~1) X.-S. Zhang. Discussion on Polak's algorithm of nonlinear programming. //Acta Mathematicae Applicatae Sinica//, Vol. 4, No. 1, pp. 1-13, 1981. (in Chinese)
~1) X.-S. Zhang. An improved Rosen-Ploak method. //Acta Mathematicae Applicatae Sinica//, Vol. 2, No. 3, pp. 257-267, 1979. (in Chinese)
=== Proceedings Articles ===
~1) Hong-Wei Liu.---**[[http://www.aporc.org/LNOR/12/ISORA2010F33.pdf Global Convergence of the Non-Quasi-Newton Method with Non-Monotone Line Search for Unconstrained Optimization Problem]].**---The Ninth International Symposium on Operations Research and Its Applications (ISORA’10), pp. 270-279
~1) Ting-Ting Gao, Zhi-Xia Yang, Ling Jing. [[http://www.aporc.org/LNOR/10/ISORA2009F59.pdf On Universum-Support Vector Machines]], Operations Research and Its Applications, Lecture Notes in Operations Research, 10, pp. 473-480, World Publishing Corporation, Zhangjiajie, 2009.
~1) Zhi-Xia Yang, Naiyang Deng. [[http://www.aporc.org/LNOR/10/ISORA2009F60.pdf Multi-instance Support Vector Machine Based on Convex Combination]], Operations Research and Its Applications, Lecture Notes in Operations Research, 10, pp. 481-487, World Publishing Corporation, Zhangjiajie, 2009.
~1) Zhen-Jun Shi and Xiang-Sun Zhang. Convergence analysis of adaptive trust region methods. Report of Research, IAM-R002, Institute of Applied Mathematics, AMSS, CAS, 2005.
~1) Zhen-Jun Shi and Xiang-Sun Zhang. From line search method to trust region method. //Operations Research and Its Applications, Lecture Notes in Operations Research//, Vol. 5, pp. 156-170, World Publishing Corporation, Beijing, 2005.
~1) Xiang-Sun Zhang and Ju-Liang Zhang. A quasi-Neuton-trust region method for equality constrained optimization and its convergence properties. //Proceedings of the Sixth National Conference of Operations Research Society of China//, pp. 998-1005, Global-Link Publishing Company, Hong Kong, 2000.
~1) Sheng Li and Xiang-Sun Zhang. Some useful numerical examples in discussion on continuity of solutions of parametric linear programming. //Proceedings of APORS'91//, pp. 501-508, Peking University Press, Beijing, 1992.
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CategoryPublication
