个人简介
黄正达,教授,计算数学专业博士生导师。
学历和学位
1980年9月--1984年7月浙江师范学院数学系理学学士
1987年9月--1992年7月杭州大学数学系计算数学专业理学博士
职位
1984年助教
1992年讲师
1994年副教授
2003年教授
2005年博士生导师
研究兴趣
计算数学专业数值代数方向及其相关的领域。特别有兴趣于线性与非线性方程(组)求根算法和数值最优化方法。
曾经从事于非线性方程(组)求解的Newton型迭代方法的收敛性研究、数值最优化理论中的共轭梯度法、Newton型方法的构造及其收敛性研究,以及这些方法在求解具体偏微分方程中的应用研究;鞍点问题基于系数矩阵分裂的求解算法研究。
近年来的研究重点主要在于预条件技术的研究及其应用、数据分析中的数值代数方法。
更详细情况请见数学科学学院办公网的个人主页:http://www.mathweb.zju.edu.cn:8080/teacher_intro.asp?userid=140&item=%BB%F9%B1%BE%D0%C5%CF%A2
教学与课程
主讲科目
当前主讲
本科生高等代数I,II线性代数(甲、乙)
曾经主讲
本科生微积分数学分析数值逼近离散数学计算方法等
研究生非线性数值最优化
科研项目
来源 项目名称 起始时间 终止时间
国家自然科学基金(主持) 数据处理中的迭代方法研究 2019/1/1 2022/12/31
国家自然科学基金重点项目(参与) 主动转子系统动力学的建模、分析及控制理论 2017/1/1 2020/12/31
国家自然科学基金(主持) 数值求解非线性方程组的预条件研究及其应用 2015/1/1 2018/12/31
浙江省自然科学基金(主持) 大规模数值代数问题的迭代格式研究 2012/1/1 2014/12/31
国家自然科学基金重点项目(参与) 科学计算中的线性与非线性数值代数问题研究 2008/1/1 2011/12/31
国家自然科学基金(主持) Newton法若干问题的研究 2003/1/1 2005/12/31
近期论文
查看导师新发文章
(温馨提示:请注意重名现象,建议点开原文通过作者单位确认)
[1]Zhengda Huang,Huidi,Wang,On a progressive and iterative approximation method with memory for least square fitting,CAGD,online,2020.
[2]Zhengda Huang,Huidi Wang,On the optimal convergence factor of the accelerated parameterized inexact Uzawa method with three parameters for augmented systems,Numer.Linear Algebra Appl.,25(5),2018.
[3]Huidi Wang,Zhendga Huang(corresponding author),On convergence and semi-convergence of SSOR-like methods for augmented linear systems,Appl.Math.Comput.,326,2018.(SCI)
[4]Yonghui Ling,Zhengda Huang(Corresponding Author),An Analysis on the Efficiency of Euler's Method for Computing the Matrix pth Root,Numer.Linear Algebra Appl.,24(6),2017.(SCI)
[5]Wang Huidi,Huang Zhengda(Corresponding Author),On a new SSOR-like method with four parameters for the augmented systems,East Asian J.Appl.Math.,7(1),2017.(SCI)
[6]Gao Qin,Huang Zhengda,Cheng Xiaoliang,A finite difference method for an inverse Sturm-Liouville problem in impedance form,Numer.Algo.,70(3),2015.(SCI)
[7]Zhengda Huang,On the behavior of the four order iteration in Euler's family near a zero,Journal of Mathematical Study,48(1),2015.(ESCI)
[8]Huang Zhengda,Zhou Xiaoyan,On the minimum convergence factor of a class of GSOR-like methods for augmented systems,Numer.Algo.,70(1),2015.(SCI)
[9]Yang Aili,Wu Yujiang,Huang Zhengda,Yuan Jinyun,Preconditioning analysis of nonuniform incremental unknowns method for two dimensional elliptic problems,Applied Mathematical Modelling,39(18),2015.(SCI)
[10]Gao Qin,Huang Zhengda,Cheng Xiaoliang,Inverse spectral problem for the density of a vibrating elastic membrane,Compt.Math.Appl.,70(5),2015.(SCI)
[11]Kong Xiangyin,Zhang Zhengfang,Huang Zhengda(Corre,Piecewise constant level set algorithm for an inverse elliptic problem in nonlinear electromagnetism,Advances in Applied Mathematics and Mechanics,7(3),2015.(SCI)
[12]Gao Q,Cheng X,Huang Z.(Corresponding Author),On a boundary value method for computing Sturm-Liouville potentials from two spectra,Int.J.Comput.Math.,91(3),2014.(SCI)
[13]Li Shishun,Huang Zhengda,Convergence analysis of HSS-multigrid methods for second-order nonself-adjoint elliptic problems,BIT Numerical Mathematics,53(4),2013.(SCI)
[14]Kong Xiangyin,Huang Zhengda(Corresponding Author),A way of updating the density function for the design of the drum,Comput.Math.Appl.,66(1),2013.(SCI)
[15]Gao Qin,Cheng Xiaoliang,Huang Zhengda(Correspon,Modified Numerov’s method for inverse Sturm–Liouville problems,J.Comput.Appl.Math.,253(1),2013.(SCI)
[16]Li Shishun,Huang Zhengda(Corresponding Author),Two-grid algorithms for linear and nonlinear elliptic problems based on HSS iteration method.,J.Comput.Anal.Appl.,14(5),2012.(SCI)
[17]Huang Zhengda,Ma guochun,On the computation of an element of Clarke generalized Jacobian for a vector-valued max function.,Nonlinear Anal.TMA,72(2),2010.(SCI)
[18]Li Shishun,Huang Zhengda(Corresponding Author),Two-grid algorithms for some linear and nonlinear elliptic systems.,Computing,89(1-2),2010.(SCI)
[19]Huang Zhengda,Kong Xiangyin,Hu Weidong,The King-Werner method for solving nonsymmetric algebraic Riccati equation.,Appl.Math.Comput.,216(6),2010.(SCI)
[20]Huang Zhengda,Ma Guochun,On the local convergence of a family of Euler-Halley type iterations with a parameter.,Numer.Algorithms,52(3),2009.(SCI)
[21]Li Shishun,Huang Zhengda,Global convergence of descent nonlinear conjugate gradient methods.(in Chinese),J.Zhejiang Univ.Sci.Ed.,36(4),2009.
[22]Li Shishun,Hunag Zhengda(Corresponding Author),Guaranteed Descent Conjugate Gradient Methods with Modified Secant Condition,JIMO,4(4),2008.(SCI)
[23]Huang Zhengda,The convergence ball of Newton's method and the uniqueness ball of equations under Holder-type continuous derivatives,Computers Math.Appl,47,2004.(SCI)
[24]Huang Zhengda,On the approximate zero of Newton method,J.of Zhejiang University SCIENCE,4(1),2003.
[25]Huang Zhengda,Zheng Shiming,On the invariant for a family of deformed Halley methods,J.S.S.C.,16,2003.
[26]Huang Zhengda,Newton method under weak Lipschitz continuous derivative in Banach spaces,Appl.Math.Comput.,140,2003.(SCI,EI)
[27]Huang Zhengda,On Newton's method under Holder continuous derivative,J.Math.Anal.Appl.,270,2002.(SCI)
[28]黄正达,王兴华,算子方程(I—T)x=y求解的计算复杂度,高校应用数学学报,16,2001.
[29]Huang Zhengda,On a family of Chebyshev-Halley type methods in Banach space under weaker Smale condition,Numer.Math.JCU,9(1),2000.
[30]Huang Zhengda,Zheng Shiming,On convergence of Nourein iterations for simultaneous finding all zeros of a polynomial,J.C.M.,18,2000.(SCI)
[31]Huang Zhengda,On the convergence of King-Werner iteration method in Banach space,J.Comput.Math.,18(5),2000.(SCI)