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, 通讯作者
(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, 通讯作者
(3) Randomized Kaczmarz iteration methods: Algorithmic extensions and convergence theory, JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2023, 通讯作者
(4) On convergence rates of Kaczmarz-type methods with different selection rules of working rows, APPLIED NUMERICAL MATHEMATICS, 2023, 通讯作者
(5) An economic implementation of the optimal rotated block-diagonal preconditioning method, Numerical Algorithms, 2023, 通讯作者
(6) On relaxed greedy randomized augmented Kaczmarz methods for solving large sparse inconsistent linear systems, East Asian Journal on Applied Mathematics, 2022, 通讯作者
(7) The power method and beyond, APPLIED NUMERICAL MATHEMATICS, 2021, 通讯作者
(8) Editorial preface: Recent advances in numerical algebra with interdisciplinary applications, APPLIED NUMERICAL MATHEMATICS, 2021, 通讯作者
(9) On convergence rate of the randomized Gauss-Seidel method, LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 通讯作者
(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, 通讯作者
(13) Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations, APPLIED NUMERICAL MATHEMATICS, 2021, 通讯作者
(14) Fast matrix splitting preconditioners for higher dimensional spatial fractional diffusion equations, JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 通讯作者
(15) On regularized Hermitian splitting iteration methods for solving discretized almost-isotropic spatial fractional diffusion equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2020, 通讯作者
(16) Regularized HSS iteration methods for stabilized saddle-point problems, IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 通讯作者
(17) On greedy randomized coordinate descent methods for solving large linear least-squares problems, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 通讯作者
(18) On banded M-splitting iteration methods for solving discretized spatial fractional diffusion equations, BIT NUMERICAL MATHEMATICS, 2019, 通讯作者
(19) Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces, NUMERICAL ALGORITHMS, 2019, 通讯作者
(20) On partially randomized extended Kaczmarz method for solving large sparse overdetermined inconsistent linear systems, LINEAR ALGEBRA AND ITS APPLICATIONS, 2019, 通讯作者
(21) On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 通讯作者
(22) On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems, COMPUTERS AND MATHEMATICS WITH APPLICATIONS, 2019, 通讯作者
(23) ON GREEDY RANDOMIZED KACZMARZ METHOD FOR SOLVING LARGE SPARSE LINEAR SYSTEMS, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 通讯作者
(24) Editorial: Novel methods and theories in numerical algebra with interdisciplinary applications, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 通讯作者
(25) On spectral clustering of HSS preconditioner for generalized saddle-point matrices, LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 通讯作者
(26) On convergence rate of the randomized Kaczmarz method, LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 通讯作者
(27) On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems, APPLIED MATHEMATICS LETTERS, 2018, 通讯作者
(28) Respectively scaled hss iteration methods for solving discretized spatial fractional diffusion equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 通讯作者
(29) Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 通讯作者
(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, 通讯作者
(32) On preconditioned and relaxed AVMM methods for quadratic programming problems with equality constraints, LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 通讯作者
(33) Regularized HSS iteration methods for saddle-point linear systems, BIT NUMERICAL MATHEMATICS, 2017, 通讯作者
(34) Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 通讯作者
(35) Modulus-based multigrid methods for linear complementarity problems, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2017, 通讯作者
(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, 通讯作者
(38) Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints, BIT NUMERICAL MATHEMATICS, 2016, 通讯作者
(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, 通讯作者
(41) On SSOR-like preconditioners for non-Hermitian positive definite matrices, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2016, 通讯作者
(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, 通讯作者
(45) Preface to the special issue on "Practical methods and rigorous theories in numerical algebra and scientific computing", JOURNAL OF ENGINEERING MATHEMATICS, 2015, 通讯作者
(46) On preconditioned iteration methods for complex linear systems, JOURNAL OF ENGINEERING MATHEMATICS, 2015, 通讯作者
(47) ON THE NUMERICAL BEHAVIOR OF MATRIX SPLITTING ITERATION METHODS FOR SOLVING LINEAR SYSTEMS, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 通讯作者
(48) On approximated ILU and UGS preconditioning methods for linearized discretized steady incompressible Navier-Stokes equations, NUMERICAL ALGORITHMS, 2014, 通讯作者
(49) On order-reducible sinc discretizations and block-diagonal preconditioning methods for linear third-order ordinary differential equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2014, 通讯作者
(50) Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix, LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 通讯作者
(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, 通讯作者
(52) Rotated block triangular preconditioning based on PMHSS, SCIENCE CHINA-MATHEMATICS, 2013, 通讯作者
(53) On nonsingularity of block two-by-two matrices, LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 通讯作者
(54) Modulus-based synchronous multisplitting iteration methods for linear complementarity problems, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2013, 通讯作者
(55) Modulus-based synchronous two-stage multisplitting iteration methods for linear complementarity problems, NUMERICAL ALGORITHMS, 2013, 通讯作者
(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, 通讯作者
(57) On the Meany inequality with applications to convergence analysis of several row-action iteration methods, NUMERISCHE MATHEMATIK, 2013, 通讯作者
(58) Eigenvalue estimates for saddle point matrices of Hermitian and indefinite leading blocks, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 通讯作者
(59) Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices, NUMERICAL ALGORITHMS, 2013, 通讯作者
(60) ON CONVERGENCE OF THE INNER-OUTER ITERATION METHOD FOR COMPUTING PAGERANK, NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2012, 通讯作者
(61) Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2012, 通讯作者
(62) Innovative methods and theories in numerical algebra, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2012, 通讯作者
(63) On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations (vol 14, pg 319, 2007), NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2012, 通讯作者
(64) Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 通讯作者
(65) On convergence conditions of waveform relaxation methods for linear differential-algebraic equations, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 通讯作者
(66) On sinc discretization and banded preconditioning for linear third-order ordinary differential equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 通讯作者
(67) On inexact Newton methods based on doubling iteration scheme for non-symmetric algebraic Riccati equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 通讯作者
(68) Block preconditioners for elliptic PDE-constrained optimization problems, COMPUTING, 2011, 通讯作者
(69) ON HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2011, 通讯作者
(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, 通讯作者
(72) Modulus-based matrix splitting iteration methods for linear complementarity problems, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2010, 通讯作者
(73) ON NEWTON-HSS METHODS FOR SYSTEMS OF NONLINEAR EQUATIONS WITH POSITIVE-DEFINITE JACOBIAN MATRICES, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 通讯作者
(74) BLOCK-TRIANGULAR PRECONDITIONERS FOR SYSTEMS ARISING FROM EDGE-PRESERVING IMAGE RESTORATION, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 通讯作者
(75) On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems, COMPUTING, 2010, 通讯作者
(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, 通讯作者
(78) Preconditioned Iterative Methods for Algebraic Systems from Multiplicative Half-Quadratic Regularization Image Restorations, NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2010, 通讯作者
(79) On semi-convergence of parameterized Uzawa methods for singular saddle point problems, LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 通讯作者
(80) CONSTRAINT PRECONDITIONERS FOR SYMMETRIC INDEFINITE MATRICES, SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2009, 通讯作者
(81) On HSS-based iteration methods for weakly nonlinear systems, APPLIED NUMERICAL MATHEMATICS, 2009, 通讯作者
(82) Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 通讯作者
(83) Optimal parameters in the HSS-like methods for saddle-point problems, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2009, 通讯作者
(84) Numerical study on incomplete orthogonal factorization preconditioners, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 通讯作者
(85) ON PRECONDITIONED ITERATIVE METHODS FOR CERTAIN TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 通讯作者
(86) Modified incomplete orthogonal factorization methods using Givens rotations, COMPUTING, 2009, 通讯作者
(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, 通讯作者
(91) Fast iterative schemes for nonsymmetric algebraic Riccati equations arising from transport theory, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 通讯作者
(92) On parameterized inexact Uzawa methods for generalized saddle point problems, LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 通讯作者
(93) Several splittings for non-Hermitian linear systems, SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 通讯作者
(94) A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations, APPLIED NUMERICAL MATHEMATICS, 2007, 通讯作者
(95) On successive-overrelaxation acceleration of the Hermitian and skew-Hermitian splitting iterations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2007, 通讯作者
(96) Modified Bernoulli iteration methods for quadratic matrix equation, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2007, 通讯作者
(97) A modified damped Newton method for linear complementarity problems, NUMERICAL ALGORITHMS, 2006, 通讯作者
(98) Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2006, 通讯作者
(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, 通讯作者
(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 ) 数值代数, 负责人, 中国科学院计划, 2010-10--2013-09
( 2 ) 适用于千万亿次的并行计算模式, 参与, 国家任务, 2010-12--2015-12
( 3 ) 科学与工程计算中的方法与应用, 参与, 国家任务, 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, 负责人, 国家任务, 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, 负责人, 国家任务, 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, 负责人, 国家任务, 2021-01--2024-12
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