白中治

更新时间:2024-08-04 17:04

白中治,中国科学院数学与系统科学研究院研究员、博士生导师

人物简介

学习经历

理学博士: 1993年7月, 上海科学技术大学数学系

理学硕士: 1988年6月, 兰州大学数学系

理学学士: 1985年6月, 兰州大学数学系

工作经历

助 教: 1988年6月-1990年6月, 兰州大学数学系

讲 师: 1990年7月-1990年10月, 兰州大学数学系

博 士 后: 1993年7月-1995年7月, 复旦大学数学研究所

副 教 授: 1995年6月-1995年7月, 复旦大学数学研究所

副研究员: 1995年7月-1998年10月, 中国科学院计算数学研究所

研 究 员: 1998年10月-1998年11月, 中国科学院计算数学研究所

研 究 员: 1998年11月-现在, 中国科学院数学与系统科学研究院

研究方向

线性与非线性数值代数 并行算法及其应用 数值最优化方法与理论 稀疏矩阵技术与理论 线性与非线性预处理子的构造与分析 微分代数方程组的数值方法 数值偏微分方程

人物成就

所获奖励

国家教育委员会科学技术进步奖三等奖 (1995年) 中国科学院自然科学奖三等奖 (1998年) 中国科学院青年科学家奖二等奖 (1999年) 中国科学院优秀青年奖 (1999年) 国务院政府特殊津贴 (2000年)

学术兼职

国际线性代数学会

专利奖励

(1) 冯康科学计算奖, , 其他, 2009

(2) 中国科学院数学与系统科学研究院突出科研成果奖, 研究所(学校), 2008

(3) 中国科学院青年科学家奖, 二等奖, 院级, 1999

(4) 中国科学院优秀青年, 院级, 1999

(5) 中国科学院自然科学奖, 三等奖, 院级, 1998

(6) 国家教委科学技术进步奖, 三等奖, 部委级, 1995

科研活动

科研项目

( 2 ) 适用于千万亿次的并行计算模式, 参与, 国家级, 2010-12--2015-12

( 3 ) 科学与工程计算中的方法与应用, 参与, 国家级, 2011-01--2016-12

( 4 ) 分数阶扩散差分矩阵的结构预处理与快速计算, 主持, 国家级, 2017-01--2020-12

( 5 ) 小粘性参数Navier-Stokes方程的HSS类光滑化多重网格方法及其收敛理论, 主持, 国家级, 2019-01--2020-12

( 6 ) 面向大数据的不相容线性方程组的随机迭代方法与收敛理论, 主持, 国家级, 2021-01--2024-12

参与会议

(2)Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces 2019-06-24

(3)Chebyshev and Krylov—Two Russian giants in the realm of mathematics 2019-04-28

(4)Recent advances on the randomized Kaczmarz method 2019-04-19

(5)Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces 2018-12-05

(6)On local quadratic convergence of inexact simplified Jacobi-Davidson method 2018-07-15

(7)On local quadratic convergence of inexact simplified Jacobi-Davidson method 2018-07-08

(8)Basics and developments of scientific computing: Random talk on numerical algebra 2018-04-29

(9)Recent advances on the randomized Kaczmarz method 2018-04-25

(10)Gene Golub and the HSS iteration method 2018-04-20

(11)On regularized HSS iteration method for saddle-point linear systems 2017-08-27

(12)Preconditioning and iterative methods for under- and over-deter mined linear systems 2016-01-11

(13)Rotated block two-by-two preconditioners based on PMHSS SIAM应用线性代数会议 2015-10-26

(14)On SSOR-like preconditioners for non-Hermitian positive definite mat rices 2015-09-09

(15)On convergence of preconditoned AVMM for solving equality-const raint quadratic programming problems 2015-06-25

(16)Scalable and fast iteration methods for complex linear systems 2014-09-02

(17)Modulus-based matrix splitting iteration methods for linear compleme ntarity problems 2013-09-09

(18)Two-step approximation preconditioning methods for steady incompressible Navier-Stokes equa-tions 2013-06-25

(19)Block-factorization preconditioning methods for block two-by-tw o linear systems 2012-10-20

(20)Modulus-based matrix splitting iteration methods for linear compleme ntarity problems 2012-10-16

(21)Nearly optimal block preconditioners for saddle point linear systems 2012-08-25

(22)Block alternating splitting implicit iteration methods for saddle point pr oblems from time-harmonic eddy current models 2012-06-06

(23)On sinc discretization and banded preconditioning of linear third-order ODEs 第三届中日韩数值数学会议 白中治,陈汉夫,任志茹 2010-08-19

发表论著

(2) On refinement of the generalized Bendixson theorem, Applied Numerical Mathematics, 2021, 第 1 作者

(3) The power method and beyond, Applied Numerical Mathematics, 2021, 第 1 作者

(4) Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations, Applied Numerical Mathematics, 2021, 第 1 作者

(5) On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations, Numerical Linear Algebra with Applications, 2020, 第 1 作者

(6) Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations, Journal of Computational Physics, 2020, 第 1 作者

(7) On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems, Linear Algebra and its Applications, 2019, 第 1 作者

(8) On greedy randomized coordinate descent methods for solving large linear least-squares problems, Numerical Linear Algebra with Applications, 2019, 第 1 作者

(9) On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems, Computers and Mathematics with Applications, 2019, 第 1 作者

(10) On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations, BIT Numerical Mathematics, 2019, 第 1 作者

(11) Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces, Numerical Algorithms, 2019, 第 1 作者

(12) Regularized HSS iteration methods for stabilized saddle-point problems, IMA Journal of Numerical Analysis, 2019, 第 1 作者

(13) On greedy randomized Kaczmarz method for solving large sparse linear systems, SIAM Journal on Scientific Computing, 2018, 第 1 作者

(14) On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems, Applied Mathematics Letters, 2018, 第 1 作者

(15) On convergence rate of the randomized Kaczmarz method, Linear Algebra and its Applications, 2018, 第 1 作者

(16) On spectral clustering of HSS preconditioner for generalized saddle-point matrices, Linear Algebra and its Applications, 2018, 第 1 作者

(17) Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts, Numerical Linear Algebra with Applications, 2018, 第 1 作者

(18) Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations, Numerical Linear Algebra with Applications, 2018, 第 1 作者

(19) Regularized HSS iteration methods for saddle-point linear systems, BIT Numerical Mathematics, 2017, 第 1 作者

(20) On preconditioned and relaxed AVMM methods for quadratic programming problems with equality constraints, Linear Algebra and Its Applications, 2017, 第 1 作者

(21) On local quadratic convergence of inexact simplified Jacobi-Davidson method, Linear Algebra and Its Applications, 2017, 第 1 作者

(22) On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems, Applied Mathematics Letters, 2017, 第 1 作者

(23) Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations, Numerical Linear Algebra with Applications, 2017, 第 1 作者

(24) Modulus-based multigrid methods for linear complementarity problems, Numerical Linear Algebra with Applications, 2017, 第 1 作者

(25) Modulus-based iterative methods for constrained Tikhonov regularization, Journal of Computational and Applied Mathematics, 2017, 第 1 作者

(26) On SSOR-like preconditioners for non-Hermitia n positive definite matrice, Numerical Linear Algebra with Application, 2016, 第 1 作者

(27) Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints, BIT Numerical Mathematics, 2016, 第 1 作者

(28) On the numerical behavior of matrix splitting iteration methods for solving linear systems, SIAM Journal on Numerical Analysis, 2015, 第 1 作者

(29) On the solvability condition and numerical algorithm for the parameterized generalized inverse eigenvalue problem, SIAM Journal on Matrix Analysis and Applications, 2015, 第 2 作者

(30) On preconditioned iteration methods for complex linear systems, Journal of Engineering Mathematics, 2015, 第 1 作者

(31) Motivations and realizations of Krylov subspace methods for large sparse linear systems, Journal of Computational and Applied Mathematics, 2015, 第 1 作者

(32) On order-reducible sinc discretizations and block-diagonal preconditioning methods for linear third-order ordinary differential equations, Numerical Linear Algebra with Applications, 2014, 第 1 作者

(33) Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix, Linear Algebra and its Applications, 2014, 第 1 作者

(34) On approximated ILU and UGS preconditioning methods for linearized discretized steady incompressible Navier-Stokes equations, Numerical Algorithms, 2014, 第 1 作者

(35) On the Meany inequality with applications to convergence analysis of several row-action iteration methods, Numerische Mathematik, 2013, 第 1 作者

(36) Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices, Numerical Algorithms, 2013, 第 1 作者

(37) Modulus-based synchronous multisplitting iteration methods for linear complementarity problems, Numerical Linear Algebra with Applications, 2013, 第 1 作者

(38) Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems, Numerical Algorithms , 2013, 第 1 作者

(39) Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems, IMA Journal of Numerical Analysis, 2013, 第 1 作者

(40) On convergence conditions of waveform relaxation methods for linear differential-algebraic equations, Journal of Computational and Applied Mathematics, 2011, 第 1 作者

(41) Block preconditioners for elliptic PDE-constrained optimization problems, Computing, 2011, 第 1 作者

(42) On preconditioned MHSS iteration methods for complex symmetric linear systems, Numerical Algorithms, 2011, 第 1 作者

(43) On Hermitian and skew-Hermitian splitting iteration methods for continuous Sylvester equations, Journal of Computational Mathematics, 2011, 第 1 作者

(44) On eigenvalue bounds and iteration methods for discrete algebraic Riccati equations, Journal of Computational Mathematics, 2011, 第 2 作者

(45) On inexact Newton methods based on doubling iteration scheme for nonsymmetric algebraic Riccati equations, Numerical Linear Algebra with Applications, 2011, 第 2 作者

(46) On sinc discretization and banded preconditioning for linear third-order ordinary differential equations, Numerical Linear Algebra with Applications, 2011, 第 1 作者

(47) Modified HSS iteration methods for a class of complex symmetric linear systems, 复对称线性方程组的修正HSS迭代算法, Computing, 2010, 第 1 作者

(48) On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems, 奇异线性方程组的HSS算法的半收敛性, Computing, 2010, 第 1 作者

(49) Modulus-based matrix splitting iteration methods for linear complementarity problems, 线性互补问题的基于模的矩阵分裂迭代方法, Numerical Linear Algebra with Applications, 2010, 第 1 作者

(50) On smooth LU decompositions with applications to solutions of nonlinear eigenvalue problems, 光滑LU分解及其在非线性特征值问题求解中的应用, Journal of Computational Mathematics, 2010, 第 2 作者

(51) On Newton-HSS methods for systems of nonlinear equations with positive-definite Jacobian matrices, 关于具有正定雅克比矩阵的非线性方程组的牛顿-HSS方法, Journal of Computational Mathematics, 2010, 第 1 作者

(52) Block-triangular preconditioners for systems arising from edge-preserving image restoration, 保边图像恢复中的线性方程组的块三角预处理子, Journal of Computational Mathematics, 2010, 第 1 作者

(53) Numerical study on incomplete orthogonal factorization preconditioners, 不完全正交分解预处理子的数值研究, Journal of Computational and Applied Mathematics, 2009, 第 1 作者

(54) Constraint preconditioners for symmetric indefinite matrices, 对称不定矩阵的约束预处理子, SIAM Journal on Matrix Analysis and Applications, 2009, 第 1 作者

(55) On semi-convergence of parameterized Uzawa methods for singular saddle point problems, 关于奇异鞍点问题的参数化Uzawa方法的半收敛性, Linear Algebra and Its Applications, 2009, 第 1 作者

(56) Optimal parameters in the HSS-like methods for saddle-point problems, 关于鞍点问题的HSS型方法的最优参数, Numerical Linear Algebra with Applications, 2009, 第 1 作者

(57) Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems, 关于强非埃尔米特正定线性方程组的乘积型反埃尔米特三角分裂迭代方法, Journal of Computational and Applied Mathematics, 2009, 第 1 作者

(58) On HSS-based iteration methods for weakly nonlinear systems, 弱非线性方程组的基于HSS的迭代方法, Applied Numerical Mathematics, 2009, 第 1 作者

(59) Modified incomplete orthogonal factorization methods using Givens rotations, 应用Givens旋转的修正不完全正交分解方法, Computing, 2009, 第 1 作者

(60) On preconditioned iterative methods for certain time-dependent partial differential equations, 一类依赖于时间的偏微分方程的预处理迭代方法, SIAM Journal on Numerical Analysis, 2009, 第 1 作者

(61) Convergence conditions for splitting iteration methods for non-Hermitian linear systems, 费埃尔米特线性方程组的分裂迭代方法的收敛条件, Linear Algebra and Its Applications, 2008, 第 1 作者

(62) Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory, 输运理论中的非对称代数黎卡提方程的快速迭代格式, SIAM Journal on Scientific Computing, 2008, 第 1 作者

(63) On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems, 非埃尔米特正定线性方程组的不精确HSS方法, Linear Algebra and Its Applications, 2008, 第 1 作者

(64) On parameterized inexact Uzawa methods for generalized saddle point problems, 广义鞍点问题的参数化不精确Uzawa方法, Linear Algebra and Its Applications, 2008, 第 1 作者

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