Workshop

• 迭代方法和预处理技术(上，下)，谷同祥等，科学出版社，2015
• 矩阵计算六讲，徐树方，高等教育出版社，2011
• 控制论中的矩阵计算，徐树方，高等教育出版社，2011
• 矩阵计算，蒋尔雄，科学出版社，2008
• 数值线性代数，L.N. Trefethen 等著，陆金甫等译，人民邮电出版社，2006（英文版1997年）
• 矩阵分析，R.A. Horn 等著，杨奇译，机械工业出版社，2005 （英文版1985年）
• 矩阵计算 (第三版)，G. Golub等著，袁亚湘等译，科学出版社，2001（英文版1996年）
• 矩阵扰动分析(第二版)，孙继广，科学出版社，2001
• 数值线性代数，曹志浩，复旦大学出版社，1996
• 矩阵计算的理论与方法，徐树方，北京大学出版社，1995.
• 线性代数方程组的迭代解法，胡家赣，科学出版社，1991

• Matrix Computations (4th), G. Golub and C.F. van Loan, Johns Hopkins University Press, 2013
• Applied Numerical Linear Algebra, J. Demmel, SIAM, 1997
• Numerical Linear Algebra, L.N. Trefethen and D. Bau, SIAM, 1997
• Numerical methods in Matrix Computations, A. Bjork, Springer, 2015
• Numerical Linear Algebra and Applications (2nd), B.N. Datta, SIAM, 2010
• Fundamentals of Matrix Computations (2nd), D.S. Watkins, John Wiley & Sons, 2002

• Iterative Methods for Sparse Linear Systems (2nd), Y. Saad, SIAM, 2003
• Iterative Methods for Solving Linear Systems, A. Greenbaum, SIAM, 1997
• Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs, J. Malek and Z. Strakos, SIAM, 2015
• Finite Elements and Fast Iterative Solvers (2nd), H. C. Elman, D. J. Silvester and A. J. Wathen, Oxford, 2014
• Krylov Subspace Methods: Principles and Analysis, J. Liesen and Z. Strakos, Oxford, 2013
• An Introduction to Iterative Toeplitz Solvers, R. H. Chan and X. Q. Jin, SIAM, 2007
• The Lanczos and CG Algorithms - From Theory to Finite Precision Computations, G. Meurant, SIAM, 2006
• Matrix Preconditioning Techniques and Applications, K. Chen, Cambridge University Press, 2005
• Iterative Krylov Methods for Large Linear Systems, H.A. van der Vorst, Cambridge University Press, 2003
• Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, R. Barrett, et.al, SIAM, 1994
• Iterative Solution Methods, O. Axelsson, Cambridge University Press, 1994
• Iterative Solution of Large Sparse Systems of Equations, W. Hackbush, Springer, 1994
• Iterative Solution of Large Linear Systems, D.M. Young, Academic Press, 1971
• Matrix Iterative Analysis, R.S. Varga, Springer, 1962 & 2000 (2nd edition)

• Algorithms for Sparse Linear Systems, J. Scott and M. Tuma, Birkhauser, 2023 (open access)
• Direct Methods for Sparse Matrices, 2nd edition, I. S. Duff , A. M. Erisman and J. K. Reid, Oxford, 2017
• Direct Methods for Sparse Linear Systems, T. A. Davis, SIAM, 2006

• Numerical Methods For Large Eigenvalue Problems, 2nd edition, Y. Saad, SIAM, 2011
• The Symmetric Eigenvalue Problem, B. N. Parlett, SIAM, 1998 (first version, 1980)
• Templates for the Solution of Algebraic Eigenvalue Problems - A Practical Guide, Z. Bai, et.al., SIAM, 2000
• Lecture Notes on Solving Large Scale Eigenvalue Problems, P. Arbenz, 2016
• The Matrix Eigenvalue Problem, GR and Krylov Subspace Methods, D. S. Watkins, SIAM,2007
• Numerical Methods for General and Structured Eigenvalue Problems, D. Kressner, Springer, 2005
• Matrix Algorithms, Volume II: Eigensystems , G. W. Stewart, SIAM, 2001
• Computational Methods for Large Eigenvalue Problems, H. A. van der Vorst, Lecture notes, 2000
• The Algebraic Eigenvalue Problem, J. H. Wilkinson, 1965 （中文翻译：代数特征值问题, 石钟慈等译, 2001）

• Matrix Analysis (2nd), R.A. Horn and C.R. Johnson, Cambridge University Press, 2013
• Topics in Matrix Analysis, R.A. Horn and C.R. Johnson, Cambridge University Press, 1991
• Nonnegative Matrices In The Mathematical Sciences, A. Berman and R. J. Plemmons, SIAM, 1994
• A Second Course in Linear Algebra, S.R. Garcia and R.A. Horn, Cambridge University Press, 2017
• Introduction to Applied Linear Algebra -- Vectors, Matrices, and Least Squares, S. Boyd and L. Vandenberghe, Cambridge University Press, 2018 (最小二乘问题及其在数据分析、图像处理中的应用)
• Practical Linear Algebra -- A Geometry Toolbox, G.E. Farin and D. Hansford, CRC Press, 2014 (适合初学者，注重知识点的来龙去脉和几何意义，有大量图示和应用案例，很形象)
• Matrix Perturbation Theory, G.W. Stewart and J.-G. Sun, Academic Press, 1990
• Functions of Matrices - Theory and Computation, Nicholas J. Higham, SIAM, 2008

• The Concept of Stability in Numerical Mathematics, W. Hackbusch, Springer, 2014
• Accuarcy and Stability of Numerical Algorithms (2nd), N.J. Higham, SIAM, 2002
• Numerical Solution of Algebraic Riccati Equations, D. A. Bini, B. Iannazzo and B. Meini, SIAM, 2012
• Numerical Methods for Least Squares Problems, A. Bjorck, SIAM, 1996
• Iterative Solutions of Nonlinear Equations in Serveral Variables, J.M. Ortega and W.C. Rheinboldt, Academic Press, 1970

• A Multigrid Tutorial (2nd), W. L. Briggs, V. E. Henson and S. F. McCormick, SIAM, 2000
• The Mathematical Theory of Finite Element Methods (3rd), S. C. Brenner and L. R. Scott, Springer, 2008
• Spectral Methods - Algorithms, Analysis and Applications, Jie Shen, Tao Tang and Li-Lian Wang, Springer, 2011
• The Finite Element Method Theory, Implementation, and Applications, M. G. Larson and F. Bengzon, Springer, 2013

• Applied Numerical Computing, L. Vandenberghe, UCLA, Fall Quarter 2019.
  Introduction to Matrix Methods, B. Osgood, Stanford, Winter quarter 2020-21.
  (教材: Introduction to Applied Linear Algebra -- Vectors, Matrices, and Least Squares, S. Boyd and L. Vandenberghe, Cambridge, 2018)
• Computational and Variational Inverse Problems, 2015
• Numerical Methods for Solving Large Scale Eigenvalue Problems, 2014
• Applications of Parallel Computers, 2010 (2014 )
• Sparse Matrix Computations, Y. Saad, 2014
• MIT: Mathematical Methods for Engineers II, G. Strang, 2006
• Numerical Solutions of Differential Equations, P. O. Persson, 2013
• Numerical Methods for Solving Large Scale Eigenvalue Problems, P. Arbenz, 2016 (Lecture Notes)
• The PDE Coffee Table Book by L. N. Trefethen and K. Embree.
• An Introduction to the Conjugate Gradient Method Without the Agonizing Pain, A very gentle and readable introduction to steepest descent, quadratic functions and conjugate gradients.