基本信息
白中治  男  博导  中国科学院数学与系统科学研究院
电子邮件: bzz@lsec.cc.ac.cn
通信地址: 北京海淀区中关村东路55号, 数学与系统科学研究院
邮政编码: 100190

招生信息

   
招生专业
070102-计算数学
招生方向
数值代数
并行计算

教育背景

1990-09--1993-06   上海科学技术大学数学系   理学博士
1985-09--1988-06   兰州大学数学系   理学硕士
1981-09--1985-06   兰州大学数学系   理学学士

工作经历

   
工作简历
1998-11~现在, 中国科学院数学与系统科学研究院, 研究员
1995-07~1998-10,中国科学院计算数学与科学工程计算研究所, 副研究员
1993-07~1995-07,复旦大学数学研究所, 博士后
1990-09~1993-06,上海科学技术大学数学系, 理学博士
1988-06~1990-08,兰州大学数学系, 讲师
1985-09~1988-06,兰州大学数学系, 理学硕士
1981-09~1985-06,兰州大学数学系, 理学学士

专利与奖励

   
奖励信息
(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

出版信息

   
发表论文
(1) On multi-step randomized extended Kaczmarz method for solving large sparse inconsistent linear systems, APPLIED NUMERICAL MATHEMATICS, 2023, 第 11 作者
(2) A two-step matrix splitting iteration paradigm based on one single splitting for solving systems of linear equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2023, 第 11 作者
(3) Randomized Kaczmarz iteration methods: Algorithmic extensions and convergence theory, JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2023, 第 11 作者
(4) On convergence rates of Kaczmarz-type methods with different selection rules of working rows, APPLIED NUMERICAL MATHEMATICS, 2023, 第 11 作者
(5) An economic implementation of the optimal rotated block-diagonal preconditioning method, Numerical Algorithms, 2023, 第 11 作者
(6) On relaxed greedy randomized augmented Kaczmarz methods for solving large sparse inconsistent linear systems, East Asian Journal on Applied Mathematics, 2022, 第 11 作者
(7) The power method and beyond, APPLIED NUMERICAL MATHEMATICS, 2021, 第 11 作者
(8) Editorial preface: Recent advances in numerical algebra with interdisciplinary applications, APPLIED NUMERICAL MATHEMATICS, 2021, 第 11 作者
(9) On convergence rate of the randomized Gauss-Seidel method, LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 第 11 作者
(10) On greedy randomized augmented Kaczmarz method for solving large sparse inconsistent linear systems, SIAM Journal on Scientific Computing, 2021, 第 1 作者
(11) On refinement of the generalized Bendixson theorem, APPLIED NUMERICAL MATHEMATICS, 2021, 第 1 作者
(12) Focused Section on Matrix Computations, Focused Section on Matrix Computations, 应用数学与计算数学学报(英文), 2021, 第 11 作者
(13) Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations, APPLIED NUMERICAL MATHEMATICS, 2021, 第 11 作者
(14) Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations, JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 第 11 作者
(15) On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020, 第 11 作者
(16) Regularized HSS iteration methods for stabilized saddle-point problems, IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 第 11 作者
(17) On greedy randomized coordinate descent methods for solving large linear least-squares problems, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 第 11 作者
(18) On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations, BIT NUMERICAL MATHEMATICS, 2019, 第 11 作者
(19) Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces, NUMERICAL ALGORITHMS, 2019, 第 11 作者
(20) On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems, LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 第 11 作者
(21) On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 第 11 作者
(22) On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems, COMPUTERS AND MATHEMATICS WITH APPLICATIONS, 2019, 第 11 作者
(23) ON GREEDY RANDOMIZED KACZMARZ METHOD FOR SOLVING LARGE SPARSE LINEAR SYSTEMS, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 第 11 作者
(24) Editorial: Novel methods and theories in numerical algebra with interdisciplinary applications, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 第 11 作者
(25) On spectral clustering of HSS preconditioner for generalized saddle-point matrices, LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 第 11 作者
(26) On convergence rate of the randomized Kaczmarz method, LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 第 11 作者
(27) On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems, APPLIED MATHEMATICS LETTERS, 2018, 第 11 作者
(28) Respectively scaled hss iteration methods for solving discretized spatial fractional diffusion equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 第 11 作者
(29) Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 第 11 作者
(30) Modulus-based iterative methods for constrained Tikhonov regularization, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 第 1 作者
(31) On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems, APPLIED MATHEMATICS LETTERS, 2017, 第 11 作者
(32) On preconditioned and relaxed AVMM methods for quadratic programming problems with equality constraints, LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 第 11 作者
(33) Regularized HSS iteration methods for saddle-point linear systems, BIT NUMERICAL MATHEMATICS, 2017, 第 11 作者
(34) Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 第 11 作者
(35) Modulus-based multigrid methods for linear complementarity problems, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 第 11 作者
(36) 前言:“计算与应用数学中的数值方法与理论”, Editorial Preface: ���Numerical Methods and Theory in Computational and Applied Mathematics���, 应用数学与计算数学学报, 2017, 第 1 作者
(37) On local quadratic convergence of inexact simplified Jacobi-Davidson method, LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 第 11 作者
(38) Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints, BIT NUMERICAL MATHEMATICS, 2016, 第 11 作者
(39) On SSOR-like preconditioners for non-Hermitia n positive definite matrice, Numerical Linear Algebra with Application, 2016, 第 1 作者
(40) Editorial Preface: "Advances in numerical algebra and scientific computing", BIT NUMERICAL MATHEMATICS, 2016, 第 11 作者
(41) On SSOR-like preconditioners for non-Hermitian positive definite matrices, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2016, 第 11 作者
(42) 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
(43) Preface to the special issue on "Practical methods and rigorous theories in numerical algebra and scientific computing" (Retraction of vol 19, pg 893, 2012), JOURNAL OF ENGINEERING MATHEMATICS, 2015, 第 1 作者
(44) Motivations and realizations of krylov subspace methods for large sparse linear systems, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 第 11 作者
(45) Preface to the special issue on "Practical methods and rigorous theories in numerical algebra and scientific computing", JOURNAL OF ENGINEERING MATHEMATICS, 2015, 第 11 作者
(46) On preconditioned iteration methods for complex linear systems, JOURNAL OF ENGINEERING MATHEMATICS, 2015, 第 11 作者
(47) ON THE NUMERICAL BEHAVIOR OF MATRIX SPLITTING ITERATION METHODS FOR SOLVING LINEAR SYSTEMS, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 第 11 作者
(48) On approximated ILU and UGS preconditioning methods for linearized discretized steady incompressible Navier-Stokes equations, NUMERICAL ALGORITHMS, 2014, 第 11 作者
(49) On order-reducible sinc discretizations and block-diagonal preconditioning methods for linear third-order ordinary differential equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2014, 第 11 作者
(50) Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix, LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 第 11 作者
(51) Block-triangular preconditioning methods for linear third-order ordinary differential equations based on reduced-order sinc discretizations, JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2013, 第 11 作者
(52) Rotated block triangular preconditioning based on PMHSS, SCIENCE CHINA-MATHEMATICS, 2013, 第 11 作者
(53) On nonsingularity of block two-by-two matrices, LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 第 11 作者
(54) Modulus-based synchronous multisplitting iteration methods for linear complementarity problems, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2013, 第 11 作者
(55) Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems, NUMERICAL ALGORITHMS, 2013, 第 11 作者
(56) 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 11 作者
(57) On the Meany inequality with applications to convergence analysis of several row-action iteration methods, NUMERISCHE MATHEMATIK, 2013, 第 11 作者
(58) Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 第 11 作者
(59) Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices, NUMERICAL ALGORITHMS, 2013, 第 11 作者
(60) ON CONVERGENCE OF THE INNER-OUTER ITERATION METHOD FOR COMPUTING PAGERANK, NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2012, 第 11 作者
(61) Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2012, 第 11 作者
(62) Innovative methods and theories in numerical algebra, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2012, 第 11 作者
(63) On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations (vol 14, pg 319, 2007), NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2012, 第 11 作者
(64) Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 第 11 作者
(65) On convergence conditions of waveform relaxation methods for linear differential-algebraic equations, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 第 11 作者
(66) On sinc discretization and banded preconditioning for linear third-order ordinary differential equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 第 11 作者
(67) On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 第 11 作者
(68) Block preconditioners for elliptic PDE-constrained optimization problems, COMPUTING, 2011, 第 11 作者
(69) ON HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 第 11 作者
(70) ON EIGENVALUE BOUNDS AND ITERATION METHODS FOR DISCRETE ALGEBRAIC RICCATI EQUATIONS, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 第 2 作者
(71) On preconditioned MHSS iteration methods for complex symmetric linear systems, NUMERICAL ALGORITHMS, 2011, 第 11 作者
(72) Modulus-based matrix splitting iteration methods for linear complementarity problems, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2010, 第 11 作者
(73) ON NEWTON-HSS METHODS FOR SYSTEMS OF NONLINEAR EQUATIONS WITH POSITIVE-DEFINITE JACOBIAN MATRICES, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 第 11 作者
(74) BLOCK-TRIANGULAR PRECONDITIONERS FOR SYSTEMS ARISING FROM EDGE-PRESERVING IMAGE RESTORATION, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 第 11 作者
(75) On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems, COMPUTING, 2010, 第 11 作者
(76) ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 第 2 作者
(77) Modified HSS iteration methods for a class of complex symmetric linear systems, COMPUTING, 2010, 第 11 作者
(78) Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations, NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2010, 第 11 作者
(79) On semi-convergence of parameterized Uzawa methods for singular saddle point problems, LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 第 11 作者
(80) CONSTRAINT PRECONDITIONERS FOR SYMMETRIC INDEFINITE MATRICES, SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2009, 第 11 作者
(81) On HSS-based iteration methods for weakly nonlinear systems, APPLIED NUMERICAL MATHEMATICS, 2009, 第 11 作者
(82) Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 第 11 作者
(83) Optimal parameters in the HSS-like methods for saddle-point problems, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2009, 第 11 作者
(84) Numerical study on incomplete orthogonal factorization preconditioners, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 第 11 作者
(85) ON PRECONDITIONED ITERATIVE METHODS FOR CERTAIN TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 第 11 作者
(86) Modified incomplete orthogonal factorization methods using Givens rotations, COMPUTING, 2009, 第 11 作者
(87) THE RESTRICTIVELY PRECONDITIONED CONJUGATE GRADIENT METHODS ON NORMAL RESIDUAL FOR BLOCK TWO-BY-TWO LINEAR SYSTEMS, THE RESTRICTIVELY PRECONDITIONED CONJUGATE GRADIENT METHODS ON NORMAL RESIDUAL FOR BLOCK TWO-BY-TWO LINEAR SYSTEMS, 计算数学:英文版, 2008, 
(88) On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems, LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 第 1 作者
(89) The restrictively preconditioned conjugate gradient methods on normal residual for block two-by-two linear systems, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 第 2 作者
(90) Convergence conditions for splitting iteration methods for non-Hermitian linear systems, LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 第 11 作者
(91) Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 第 11 作者
(92) On parameterized inexact Uzawa methods for generalized saddle point problems, LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 第 11 作者
(93) Several splittings for non-Hermitian linear systems, SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 第 11 作者
(94) A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations, APPLIED NUMERICAL MATHEMATICS, 2007, 第 11 作者
(95) On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2007, 第 11 作者
(96) Modified Bernoulli iteration methods for quadratic matrix equation, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2007, 第 11 作者
(97) A modified damped Newton method for linear complementarity problems, NUMERICAL ALGORITHMS, 2006, 第 11 作者
(98) Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2006, 第 11 作者
(99) NGLM:一类全局收敛的Newton-GMRES方法, NGLM: A GLOBALLY CONVERGENT NEWTON-GMRES METHOD, 计算数学, 2005, 第 2 作者
(100) On two iteration methods for the quadratic matrix equations, INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2005, 第 11 作者
(101) 关于Newton-GMRES方法的有效变型与全局收敛性研究, ON EFFICIENT VARIANTS AND GLOBAL CONVERGENCE OF THE NEWTON-GMRES METHOD, 数值计算与计算机应用, 2005, 第 1 作者
(102) 矩阵方程AXAT+BYBT=C的对称与反对称最小范数最小二乘解, LEAST SQUARES SYMMETRIC AND SKEW-SYMMETRIC SOLUTIONS OF THE MATRIX EQUATION AXAT + BYBT = C WITH THE LEAST NORM, 计算数学, 2005, 第 2 作者
(103) 关于多元非线性方程的Broyden方法, BROYDEN METHOD FOR NONLINEAR EQUATION IN SEVERAL VARIABLES, 计算数学, 2004, 第 2 作者
(104) 由两个特征对构造正定jacobi矩阵, 数值计算与计算机应用, 2002, 第 2 作者
(105) 由两个特征对构造正安Jacobi矩阵, 数值计算与计算机应用, 2002, 第 2 作者
(106) 关于具优势对称部分的不定线性代数方程组的分裂极小残量算法, Splitting-minres methods for linear system wit the coefficient matrix with a dominant indefinite symmetric part, 计算数学, 2002, 第 1 作者
发表著作
Matrix Analysis and Computations, SIAM, 2021-08, 第 1 作者

科研活动

   
科研项目
( 1 ) 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, 负责人, 国家任务, 2021-01--2024-12
( 2 ) 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, 负责人, 国家任务, 2019-01--2020-12
( 3 ) 分数阶扩散差分矩阵的结构预处理与快速计算, 负责人, 国家任务, 2017-01--2020-12
( 4 ) 科学与工程计算中的方法与应用, 参与, 国家任务, 2011-01--2016-12
( 5 ) 适用于千万亿次的并行计算模式, 参与, 国家任务, 2010-12--2015-12
( 6 ) 数值代数, 负责人, 中国科学院计划, 2010-10--2013-09
参与会议
(1)Randomized Kaczmarz iteration methods: Algorithmic extensions and convergence theory. Part I: The Kaczmarz-type methods   2023-07-08
(2)Randomized Kaczmarz iteration methods: Algorithmic extensions and convergence theory. Part I: The Kaczmarz-type methods   2023-06-05
(3)On convergence rates of Kaczmarz-type methods   2022-04-15
(4)Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations   2021-05-02
(5)Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces   2019-07-01
(6)Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces   2019-06-24
(7)Chebyshev and Krylov—Two Russian giants in the realm of mathematics   2019-04-28
(8)Recent advances on the randomized Kaczmarz method   2019-04-19
(9)Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces   2018-12-05
(10)On local quadratic convergence of inexact simplified Jacobi-Davidson method   2018-07-15
(11)On local quadratic convergence of inexact simplified Jacobi-Davidson method   2018-07-08
(12)Basics and developments of scientific computing: Random talk on numerical algebra   2018-04-29
(13)Recent advances on the randomized Kaczmarz method   2018-04-25
(14)Gene Golub and the HSS iteration method   2018-04-20
(15)On regularized HSS iteration method for saddle-point linear systems   2017-08-27
(16)Preconditioning and iterative methods for under- and over-deter mined linear systems   2016-01-11
(17)Rotated block two-by-two preconditioners based on PMHSS   SIAM应用线性代数会议   2015-10-26
(18)On SSOR-like preconditioners for non-Hermitian positive definite mat rices   2015-09-09
(19)On convergence of preconditoned AVMM for solving equality-const raint quadratic programming problems   2015-06-25
(20)Scalable and fast iteration methods for complex linear systems   2014-09-02
(21)Modulus-based matrix splitting iteration methods for linear compleme ntarity problems   2013-09-09
(22)Two-step approximation preconditioning methods for steady incompressible Navier-Stokes equa-tions   2013-06-25
(23)Block-factorization preconditioning methods for block two-by-tw o linear systems   2012-10-20
(24)Modulus-based matrix splitting iteration methods for linear compleme ntarity problems   2012-10-16
(25)Nearly optimal block preconditioners for saddle point linear systems   2012-08-25
(26)Block alternating splitting implicit iteration methods for saddle point pr oblems from time-harmonic eddy current models   2012-06-06
(27)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