个人简介
董波2008年毕业于大连理工大学应用数学系,获得博士学位,主要的研究工作包括多项式方程组的全部解研究以及矩阵特征值问题。2008年9月开始任职于大连理工大学数学科学学院计算数学所,主要的研究兴趣包括:多项式方程组全部解、特征值问题及反问题、高性能计算,侧重算法的设计、分析及相关应用问题的软件包编制。
多项式方程组方面,主要考虑利用同伦方法求在机器人设计、机床制造、信号处理、稀疏插值中出现的稀疏、具有特殊结构的(混合三角)多项式方程组的全部解,并将其应用于相关领域;数值代数方面,主要考虑特征值问题、矩阵分解的研究,特征值问题包括两方面:求多参数特征值问题及二次特征值问题全部解及指定解的正问题研究、在振动分析中具有重要的二次特征值反问题研究。矩阵分解方面主要研究针对大数据分析的非负矩阵分解及整数矩阵分解。高性能计算主要是针对上述问题进行并行算法的设计和实现。
教育经历
2004.92008.9大连理工大学计算数学博士
1998.92002.7山东师范大学数学与应用数学学士
其他奖励
大连理工大学教学质量优秀奖 (2016年)
全国高校数学微课教学设计大赛 (2016年)
近期论文
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Zhao, Xinzhu,Yu, Bo,Dong, Bo.Unfoldings and the rank-one approximation of the tensor[J],JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2020,375
Dong, Bo,Park, Haesun,Lin, Matthew M..Integer Matrix Approximation and Data Mining[J],JOURNAL OF SCIENTIFIC COMPUTING,2018,75(1):198-224
Jiao Libin,Dong Bo,Yu Bo.Efficiently Counting Affine Roots of Mixed Trigonometric Polynomial Systems[J],JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2017,30(4):967-982
Yu, Yan,Dong, Bo,Yu, Bo.Reconstruction of structured models using incomplete measured data[J],STRUCTURAL ENGINEERING AND MECHANICS,2017,62(3):303-310
Yu Yan,Dong Bo,Yu Bo.Direct GBQ Algorithm for Solving Mixed Trigonometric Polynomial Systems[J],数学研究及应用,2017,37(2):127-136
Dong, Bo,Yu, Bo,Yu, Yan.A HOMOTOPY METHOD FOR FINDING ALL SOLUTIONS OF A MULTIPARAMETER EIGENVALUE PROBLEM[J],SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS,2016,37(2):550-571
Jiao, Libin,Dong, Bo,Zhang, Jintao,Yu, Bo.POLYNOMIAL HOMOTOPY METHOD FOR THE SPARSE INTERPOLATION PROBLEM PART I: EQUALLY SPACED SAMPLING[J],SIAM JOURNAL ON NUMERICAL ANALYSIS,2016,54(1):462-480
董波,王崇歧,于波.直接多胞体同伦方法求解混合三角多项式方程组[J],系统科学与数学,2015,35(11):1367-1373
Dong, Bo,Tian, Dan Dan,Yu, Yan.Alternating projection method for sparse model updating problems[J],4th International Conference on Numerical Algebra and Scientific Computing (NASC),2015,93(1,SI):159-173
Dong, Bo,Yu, Bo,Yu, Yan.A SYMMETRIC HOMOTOPY AND HYBRID POLYNOMIAL SYSTEM SOLVING METHOD FOR MIXED TRIGONOMETRIC POLYNO...[J],MATHEMATICS OF COMPUTATION,2014,83(288):1847-1868
Yu, Yan,Yu, Bo,Dong, Bo.Robust continuation methods for tracing solution curves of parameterized systems[J],NUMERICAL ALGORITHMS,2014,65(4):825-841
Dong, Bo,Lin, Matthew M.,Chu, Moody T..Nonnegative rank factorization-a heuristic approach via rank reduction[J],NUMERICAL ALGORITHMS,2014,65(2):251-274
Lin, Matthew M.,Dong, Bo,Chu, Moody T..Inverse mode problems for real and symmetric quadratic models[J],INVERSE PROBLEMS,2010,26(6)
Lin, Matthew M.,Dong, Bo,Chu, Moody T..Semi-definite programming techniques for structured quadratic inverse eigenvalue problems[J],NUMERICAL ALGORITHMS,2010,53(4):419-437
Dong, Bo,Lin, Matthew M.,Chu, Moody T..Parameter reconstruction of vibration systems from partial eigeninformation[J],JOURNAL OF SOUND AND VIBRATION,2009,327(3-5):391-401
于波,董波,曹小飞,杨德森.信号处理中一类非线性方程组的快速求解[J],系统科学与数学,2008,28(8):1002-1019
Yu, Bo,Dong, Bo.A hybrid polynomial system solving method for mixed trigonometric polynomial systems[J],SIAM JOURNAL ON NUMERICAL ANALYSIS,2008,46(3):1503-1518
董波.A fast algorithm for a class of nonlinear systems in signal processing[J],Journal of Systems Science and Mathematical Sciences (Chinese Series),2008,28(8):1002-1019