于波：大連理工大學套用數學系，教授、博士生導師
基本介紹
學習經歷,工作經歷,訪問經歷,社會兼職,研究領域,碩博研究方向,著作和論文,科研項目,
學習經歷
1963年生於遼寧省昌圖縣
1981.09-1985.07 本科生，計算數學專業，吉林大學數學系；
1985.091992.07 研究生，計算數學專業，吉林大學數學研究所，
1988.7獲碩士學位，1992.7獲博士學位。
工作經歷
1987.08-1992.09 吉林大學計算中心，助教、講師；
1992.09-2003.01 吉林大學數學系，講師、副教授、教授（2000.1)
博士生導師（2001.4）；
2002.10- 現在 大連理工大學套用數學系，教授、博士生導師；
2005.05-2009.02 大連理工大學套用數學系，系主任；
2009.05- 現在 大連理工大學數學科學學院 學術委員會主任、計算科學研究所所長；
2013.04-現在 大連理工大學盤錦校區基礎部部長
訪問經歷
1997.10-1999.09 日本筑波大學，博士後；
2000.08-2001.01 北京大學 訪問學者
2001.06-2002.02 澳大利亞新南威爾斯大學，合作研究；
2008.05-2008.10 英國牛津大學，學術訪問；
2011.01-2011.02 美國北卡州立大學，學術訪問。
社會兼職
中國數學會常務理事
中國工業與套用數學學會理事
中國數學會計算機數學專業委員會委員
中國工業與套用數學學會數學模型專業委員會委員
《數學研究與評論》編委，2005-
ISRN Operations Research 編委，2012-
《套用數學進展》編委，2012-
《數學計算》編委，2012-
《東北數學》編委，2001-2008
遼寧省政協委員、常委，2008-
民革大連市市委副主委，2007-
研究領域
數值代數、數值最佳化、計算金融：
1. 數學規劃（非線性規劃、VIP、minimax問題、min-max-min問題、SDP等）的全局收斂算法和高效率算法；
2. 非線性方程組和不動點問題的全局收斂算法和高效率算法；
3. 計算金融、金融中的最佳化方法。
碩博研究方向
數值代數、數值最佳化、計算金融：
1. 數學規劃（非線性規劃、VIP、minimax問題、min-max-min問題、SDP等）的全局收斂算法和高效率算法；
2. 非線性方程組和不動點問題的全局收斂算法和高效率算法；
3. 計算金融、金融中的最佳化方法。
著作和論文
1] Bo Dong, Bo Yu and Yan Yu, A symmetric homotopy and hybrid polynomial system solving method for mixed trigonometric polynomial systems, Mathematics of Computation. to appear.
[2] Zhengyong Zhou and Bo Yu, The flattened aggregate constraint homotopy method for nonlinear programming problems with many nonlinear constraints, Abstract and Applied Analysis, to appear.
[3] Bo Yu, Jintao Zhang and Yanyan Xu, An efficient algorithm for computing minimal polynomials of polynomial matrices, J System Sciences and Complexity, to appear.
[4] Li Dong and Bo Yu, A spline smoothing Newton method for finite minimax problems, Journal of Engineering Mathematics, to appear.
[5] Fenlin Yang, Ke Chen, Bo Yu and D. Fang, A relaxed fixed point method for a mean curvature based denoising model, Optimization Methods and Software, Vol. 29 (2014), No. 2, 274–285,
[6] Liyan Xu and Bo Yu, CVaR constrained stochastic programming reformulation for stochastic nonlinear complementarity problems, Comput Optim Appl, (2014) 58:483-501, DOI 10.1007/s10589-013-9625-9
[7] Zhengyong Zhou and Bo Yu, A smoothing homotopy method for variational inequality problems on polyhedral convex sets, J Glob. Optim, 58:151-168, 2014. DOI: 10.1007/s10898-013-0033-6
[8] Yan Yu, Bo Yu and Bo Dong, Robust continuation methods for tracing solution curves of parameterized systems, Numerical Algorithms, Vol. 65 (2014), Issue 4, pp 825-841, DOI: 10.1007/s11075-013-9716-9
[9] Y. Xiao, H. J. Xiong and B. Yu, Truncated Aggregate Homotopy Method for Nonconvex Nonlinear Programming, Optimization Methods and Software, Vol. 29 (2014), No. 1, 160–176,
[10] Li Yang, Bo Yu and Qing Xu, A constraint shifting homotopy method for general nonlinear programming, Optimization, Vol. 63 (2014), No. 4, 585-600. DOI: http://dx.doi.org/10.1080/02331934. 2012.668189
[11] Zhichuan Zhu, Bo Yu and Li Yang, Globally convergent homotopy method for designing piecewise linear deterministic contractual function, Journal of Industrial and Management Optimization, Vol. 10 (2014), No. 3, 717-741.
[12] Li Dong, Bo Yu and Zhengyong Zhou, A constraint shifting spline smoothing homotopy method for general nonlinear programming, Pacific J. Optimization, Vol. 10 (2014), No. 1, 21-35.
[13] Xuping Zhang, Jintao Zhang, and Bo Yu, Eigenfunction expansion method for multiple solutions of semilinear elliptic equations with polynomial nonlinearity, SIAM J. Numer. Anal., Vol. 51 (2013), No. 5, pp. 2680-2699.
[14] Li Yang and Bo Yu, A homotopy method for nonlinear semidefinite programming, Computational Optimization and Application, Comput Optim Appl, 56 (2013), 81-96,DOI 10.1007/s10589-013-9545-8.
[15] Xuping Zhang, Bo Yu and Jintao Zhang, Proof of a conjecture on a discretized elliptic equation with cubic nonlinearity, Science China: Mathematics, Vol. 56 (2013 ), No. 6: 1279–1286.
[16] Xuping Zhang and Bo Yu, A note on the relation between the newton homotopy method and the damped newton method, Electronic Transactions on Numerical Analysis, Volume 40, pp. 373-380, 2013.
[17] Changtong Luo, Shaoliang Zhang and Bo Yu, Some Modifications of Low Dimensional Simplex Evolution and Their Convergence, Optimization Methods and Software, Volume 28, Issue 1, February 2013, pages 54-81. DOI:10.1080/ 10556788.2011.584876.
[18] Zhichuan Zhu, Bo Yu and Yufeng Shang, A modified homotopy method for solving nonconvex fixed points problems, Fixed Point Theory, 14(2013), No. 2, 531-544, http://www.math.ubbcluj.ro/nodeacj/sfptcj.html
[19] Li Dong and Bo Yu, A Spline Smoohing Newton Method for L∞ Distance Regression with Bound Constraints, ISRN Operations Research, Vol. 2013, Article ID 393482, 7 pages.
[20] Jianping Zhang, Ke Chen and Bo Yu, An iterative lagrange multiplier method for constrained total variation-based image denoising, SIAM J. Numer. Anal., 50 (2012), 983–1003.
[21] Li Yang, Bo Yu and Qing Xu, A Combined Homotopy Infeasible Interior Point Method for Nonconvex Programming, Pacific J. Optim., Vol. 8 (2012), No. 1, 89-101.
[22] Fenlin Yang, Ke Chen, Bo Yu. Effcient homotopy solution and a convex combination of ROF and LLT models for image restoration. International Journal of Numerical Analysis and Modeling, Volume 9 (2012), Number 4, Pages 907–927.
[23] Fenlin Yang, Ke Chen, Bo Yu, Homotopy Curve Tracking for Total Variation Image Restoration, J. Comput. Math., Vol. 30 (2): 177-196, 2012.
[24] Fenlin Yang, Ke Chen, Bo Yu, Homotopy method for a mean curvature-based denoising model, Applied Numerical Mathematics, Volume 62, Issue 3, March 2012, Pages 185-200.
[25] Jianping Zhang, Ke Chen and Bo Yu, A Multigrid Algorithm for the 3D ChanVese Model of Variational Image Segmentation, International Journal of Computer Mathematics, 2011. Volume 89, Issue 2, January 2012, pages 160-189
[26] Changtong Luo, Bo Yu, Low dimensional simplex evolution: a new heuristic for global optimization, J Glob Optim., 2012, Volume 52, Number 1, Pages 45-55 DOI 10.1007/s10898-011-9678-1
[27] Zhengyong Zhou, Bo Yu, A smoothing homotopy method based on Robinson's normal equation for mixed complementarity problems, Journal of Industrial and Management Optimization, Volume 7, Issue 4, 2011 Pages 977-989.
[28] Yufeng Shang and Bo Yu, A Constraint Shifting Homotopy Method for Convex Multi- objective Programming, Journal of Computational and Applied Mathematics, Volume 236, Issue 5, 1 October 2011, Pages 640-646.
[29] L. Du, T. Sogabe, B. Yu, Y. Yamamoto, S.-L. Zhang, A block IDR(s) method for nonsymmetric linear systems with multiple right-hand sides, Journal of Computational and Applied Mathematics, 235 (2011) 4095–4106.
[30] Yufeng Shang, Qing Xu and BoYu, A globally convergent noninterior point homotopy method for solving variational inequalities, Optimization Methods and Software, Vol. 26(2011), No. 6, 933-943, DOI: 10.1080/10556788.2010.484063.
[31] Huijuan Xiong and Bo Yu, An aggregate deformation homotopy method for constrained
min-max-min problems with maxmin constraints, Computational Optimization and Applications, 47(2010), No.3, 501-527, DOI 10.1007/s10589-008- 9229-y.
[32] Su, Menglong; Yu, Bo; Shi, Shaoyun, A boundary perturbation interior point homotopy method for solving fixed point problems. J. Math. Anal. Appl. 377(2011), no. 2, 683--694.
[33] M Su, B Yu and Jian Wang, Solving nonconvex nonlinear programming problems via a new aggregate constraint homotopy method, Nonlinear Analysis: Theory, Methods & Applications, Volume 73, Issue 8, 15 October 2010, Pages 2558–2565.
[34] Yu Xiao and Bo Yu, A truncated aggregate smoothing Newton method for minimax problems, Appl. Math. Comput., 216 (2010), 1868-1879.
[35] Xu, Qing; Dai, Xi; Yu, Bo Solving generalized Nash equilibrium problem with equality and inequality constraints. Optim. Methods Softw. 24 (2009), no. 3, 327--337.
[36] Xiaona Fan and Bo Yu, A Smoothing Homotopy Method for Solving Variational Inequalities, Nonlinear Analysis, TMA, 70 (2009), no. 1, 211--219.
[37] Qing Xu and Bo Yu, Solving the Karush-Kuhn-Tucker System of a Nonconvex Programming Problem on Unbounded Set, Nonlinear Analysis, TMA, 70 (2009), no. 2, 757--763.
[38] Bo Yu and Bo Dong, A Hybrid Polynomial System Solving Method for Mixed Trigonometric Polynomial Systems, SIAM J. Numer. Anal., 46 (2008), 1503-1518.
[39] Xiaona Fan and Bo Yu, A Polynomial Path Following Algorithm for Convex Programming, Appl. Math. Comput., 196 (2008), no. 2, 866--878.
[40] Xiaona Fan and Bo Yu, Homotopy Method for Solving Variational Inequalities with Bounded Box Constraints, Nonlinear Analysis, TMA, 68(2008), 2357-2361.
[41] Moody Chu, Del Buono, Nicoletta and Bo Yu, Structured Quadratic Inverse Eigenvalue Problem, I. Serially Linked Systems, SIAM J. Scientific Computing, 29(2007), pp. 2668-2685.
[42] Junxiang Li and Bo Yu, Truncated partitioning group correction algorithms for large-scale sparse unconstrained optimization, Appl. Math. Comput., 190(2007), 242-254.
[43] Shaoyan Cui, Xiaogang Wang, Yue Liu and Bo Yu, Effect of velocity shear on flow driven resistive wall mode, Phys. Letters A, 369(2007): 479-482.
[44] Qing Xu, Bo Yu and Guochen Feng, A Condition for Global Convergence of a Homotopy Method for Variational Inequality Problems on an Unbounded Set, Optimization Methods and Software, 22(2007), 587-599.
[45] Bo Yu and Qing Xu, On the complexity of a combined homotopy interior point method for convex programming, J. Comput. Appl. Math., 200(2007), 32-46.
[46] Shaoyan Cui, Xiaogang Wang, Yue Liu and Bo Yu, Numerical studies for the linear growth of resistive wall modes generated by plasma flows in a slab model, Physics of Plasmas, 13(2006), Art. No. 094506.
[47] Qing Xu, Bo Yu and Guochen Feng, Homotopy methods for solving variational inequalities in unbounded sets, J. Global Optimization, 31(2005), no. 1, 121-131.
[48] Zhenghua Lin, Bo Yu and Daoli Zhu, A continuation method for solving fixed points of self-mappings in general nonconvex sets, Nonlinear Analysis, 52(2003), 905-915.
[49] Bo Yu, Guochen Feng and Shaoliang Zhang, The aggregate constraint homotopy method for nonconvex nonlinear programming, Nonlinear Analysis, 45(2001), 839-847.
[50] Bo Yu and T. Kitamoto, The CHACM method for computing the characteristic polynomial of a polynomial matrix, IEICE Trans. Fundamentals, E83(2000), No.7, 1405-1410.
[51] Guochen Feng, Zhenghua Lin and Bo Yu, Existence of an interior pathway to a Karush-Kuhn-Tucker point of a nonconvex programming problem, Nonlinear Analysis TMA, 32(1998), 761-768.
[52] Zhenghua Lin, Bo Yu and Guochen Feng, A combined homotopy interior point method for convex nonlinear programming, Appl. Math. Comput., 84(1997), 193-211.
[53] Zhenghua Lin, Yong Li and Bo Yu, A combined homotopy interior point method for general nonlinear programming problems, Appl. Math. Comput., 80(1996), 209-224.
[54] Bo Yu and Zhenghua Lin, Homotopy method for a class of nonconvex Brouwer fixed point problems, Appl. Math. Comput., 74(1996), 65-77.
[55] Zhenghua Lin and Bo Yu, A quadratically convergent scaling Newton's method for nonlinear complementarity problems, Optimization, 33(1995), 143-154.
[56] Bo Dong and Bo Yu, Homotopy Method for Mixed Trigonometric Polynomial Systems, Journal of Information and Computational Science, 4(2007), 505-514.
[57] Huijuan Xiong, Yu Wang and Bo Yu, Maximum Entropy Method for Multiple-Instance Classification, Journal of Information and Computational Science, 4(2007), 811-820.
[58] Changtong Luo and Bo Yu, Solving Min UR Problem by Triangle Evolution Algorithm with Archiving and Niche Techniques, Journal of Information and Computational Science, 4(2007), 811-820.
[59] Junxiang Li, Bo Yu and Shuting Zhang, Truncated Newton Method for Solving Minimax Problems, 2012 Fifth International Joint Conference on Computational Sciences and Optimization, 256-260.
[60] Zhengyong Zhou, Bo Yu and Yufeng Shang, A Feasible Set Swelling Homotopy Method for General Nonlinear Programming, ICMT 2011, 1884
-1887, DOI: 10. 1109/ICMT.2011.6002563.
[61] Zhang Jintao, Bo Yu, A subtree searching method with pruning for computing minimal m-Bézout number, ICMT 2011, 1932-1935, DOI: 10.1109/ICMT. 20 11.6002458.
[62] Wang Jinming, Qu Shaobo, Yu Bo, Convergence analysis of Newton-Laphson’s Method for Coupled Magnetic and flow field, Chinese Journal of computational Physics, Vol. 28 (2011), No. 6, 835-842.
[63] Bo Yu and Guochen Feng, Globally convergent interior path following methods for nonlinear programming and Brouwer fixed point problems, in Advances in Nonlinear Programming, 325-343, Kluwer Academic Publishers, 1998.
[64] Guochen Feng and Bo Yu, Combined homotopy interior point method for nonlinear programming problems, in Advances in Numerical Mathematics; Proceedings of the Second Japan-China Seminar on Numerical Mahtematics (Tokyo, 1994), 9-16, Lecture Notes Numer. Appl. Anal., 14, Kinokuniya, Tokyo, 1995.
[65] Guoxin Liu and Bo Yu, Homotopy continuation method for linear complementarity problems, Northeast. Math. J.，20(2004), 309-316.
[66] Bo Yu and Guoxin Liu, The aggretate homotopy method for constrained sequential minimax problem, Northeast. Math. J., 19 (2003), 287-290.
[67] Qing Xu, Guochen Feng and Bo Yu, Globally convergent interior point methods for variational inequalities in unbounded sets, Northeast. Math. J., 18(2002), 9-14.
[68] Qing Xu, Guochen Feng and Bo Yu, Homotopy method for variational inequalities, 數學進展, 3(2001), 477-479.
[69] Bo Yu, Liqun Qi and Guoxin Liu, A modified aggregate homotopy method for convex minimax problems, Proceedings of ICOTA'2001, Vol. 1, 32-37.
[70] Qinghuai Liu, Bo Yu and Guochen Feng, An interior point path-following method for nonconvex programming with quasi normal cone condition, 數學進展, 29(2000), No.4, 281-282.
[71] Bo Yu, Qinghuai Liu and Guochen Feng, A combined homotopy interior point method for nonconvex programming with pseudo cone condition, Northeast. Math. J., 16(2000),383-386.
[72] Effect of the Conducting Boundary Location on Resistive Wall Mode Instability, The 16th International Conference on Gas Discharges and Their Applications, Vol. 1, 445-448, 2006.
[73] Changtong Luo and Bo Yu Low dimensional simplex evolution - a hybrid heuristic for global optimization, 2007 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing 470-4 2007.
[74] Luo, Changtong; Zhang, Shaoliang; Yu, Bo, Low dimensional reproduction strategy for realcoded evolutionary algorithms, Proceedings - 7th IEEE/ACIS International Conference on Computer and Information Science, IEEE/ACIS ICIS 2008.
[75] Shuyan Dong, Jintao Zhang, Bo Yu, Changtong Luo and Shaoliang Zhang, A Genetic Algorithm for Finding Minimal Multihomogeneous Bézout Number, Computer and Information Science, 2008. ICIS 08. Seventh IEEE/ACIS International Conference on, 301-305.
[76] Cui Shaoyan et al, Effect of the Conducting Boundary Location on Resistive Wall Mode Instability, The 16th International Conference on Gas Discharges and Their Applications, Vol. 1, 445-448, 2006
[77] Luo Changtong and Yu Bo, Triangle evolution-a hybrid heuristic for global optimization, Journal of Mathematical Research & Exposition, 29(2009), No. 2, 237-246.
[78] 于波、董波、曹小飛、楊德森，信號處理中一類非線性方程組的快速求解 系統科學與數學，第28卷（2008），第8期，1002-1019.
[79] 于波、商玉鳳，解非凸規劃問題的動邊界組契約倫方法，數學研究與評論，第26卷(2006)，第4期，831-834.
[80] 商玉鳳、于波，凸規劃的動邊界組契約倫方法及其收斂性，吉林大學學報（理科版），第44卷(2006)，第3期，357-361.
[81] 張淑婷、于波，有限極大極小問題的擬牛頓法，吉林大學學報（理科版），第44卷(2006)，第3期，367-369.
[82] 商玉鳳、于波，解凸規劃問題的動邊界組契約倫方法，高等學校計算數學學報，Vol. 27(2005)，專刊，311-315.
[83] 張淑婷、于波，非凸廣義半無限極大極小問題的全局收斂方法，高等學校計算數學學報，Vol. 27(2005)，專刊，316-319.
[84] 劉慶懷、于波、馮果忱，基於擬法錐條件的非凸非線性規劃問題的同倫內點算法，套用數學學報，第26卷(2003), 第2期， 372-377.
[85] 劉國新、馮果忱、于波，序列極大極小問題的凝聚同倫方法，吉林大學學報（理科版），第41卷（2003），第2期， 155-156.
[86] 林正華、於曉林、于波，連續化方法解約束非凸規劃問題，計算數學，21(1999), No.3, 309-316.
[87] 林正華、于波，非線性特徵值問題的大範圍求解，吉林大學自然科學學報，1994, No.1, 27-30.
[88] 林正華、于波，二次規劃的Q-平方收斂算法，吉林大學自然科學學報，1994, No.1, 45-48.
[89] 于波、林正華，一類非凸Brouwer不動點問題的同倫算法，吉林大學自然科學學報，1994, No.2, 37- 38.
[90] Bo Yu and Guochen Feng, The random product homotopy for solving polynomial systems in , in Computer Mathematics (Tianjin, 1991), 36-45, World Sci. Publishing, River Edge, NJ, 1993.
[91] 于波、馮果忱，虧欠多項式組解的個數和同倫算法，數學科學研討會論文集，吉林大學出版社，1992.
[92] 張德統、于波，用單純形方法解雙參數特徵值問題，高校計算數學學報，13 (1991), No.3, 283-292.
科研項目
1. 代數簇計算的理論和方法，國家自然科學基金青年基金項目（19501018），1996年1月至1998年12月
2. 最最佳化的同倫方法和代數幾何方法，國家自然科學基金項目（10071031），2001年1月至2003年12月
3. 非線性等式與不等式組的有效解法及其套用，國家自然科學基金項目（10671029），2007年1月至2009年12月
4. 非凸非光滑最佳化問題的高效率大範圍收斂解法，國家自然科學基金項目（11171051），2012.1-2015.12
5. 高維數據的低維非線性逼近中的非凸最佳化模型的有效解法和軟體, 國家自然科學基金重大研究計畫（高性能科學計算的基礎算法與可計算建模，培育項目，91230103），2013.1-2015.12
6. 非凸非光滑最佳化及其在神經網路和圖形圖像中的套用，教育部博士點基金（200601 41029），2007年1月至2009年12月
7. 多項式方程組和最最佳化的整體解法, 教育部留學回國人員科研啟動基金， 2001年9月-2004年9月
8. 聚變能研究中的數學問題，大連理工大學“數學+X”交叉學科專項
9. 螺栓連線結構建模中的非凸最佳化問題，大連理工大學數學+X”學科交叉前沿科研專題（DUT11SX01）
10. 多元水聲矢量方程的快速算法和軟體研製，軍工項目子課題，2002年7月-2002年8月
11. 滿意度分析算法和軟體研製，橫向課題，2004年6月-2004年10月
12. 邊界條件設定、物理尺寸相容性測試、數據採集、調運程式評估集成軟體開發，中國船舶工業集團公司委託項目， 2006年1月-2006年7月
13. 比例模型數據採集與圖像處理系統開發研製，中國石油遼河油田分公司委託項目， 2006年12月-2007年5月
14. 火燒驅物理模擬數據採集與圖像處理系統開發研製, 中國石油遼河油田分公司委託項目，2007年12月-2008年6月
