一般性参考文献

大量矩阵计算领域的一般性书籍被多次引用,我们以注记的方式加以标明并 引用.一般性参考文献的详情见随后的“其他书籍”一节.

AEP Wilkinson: Algebraic Eigenvalue Problem

ANLA Demmel: Applied Numerical Linear Algebra

ASNA Higham: Accuracy and Stability of Numerical Algorithms, second edition

EOM Chatelin: Eigenvalues of Matrices

FFT Van Loan: Computational Frameworks for the Fast Fourier Transform

FOM Higham: Functions of Matrices

FMC Watkins: Fundamentals of Matrix Computations

IMC Stewart: Introduction to Matrix Computations

IMK van der Vorst: Iterative Krylov Methods for Large Linear Systems

IMSL Greenbaum: Iterative Methods for Solving Linear Systems

ISM Axelsson: Iterative Solution Methods

IMSLE Saad: Iterative Methods for Sparse Linear Systems, second edition

LCG Meurant: The Lanczos and Conjugate Gradient Algorithms: From Theory to Finite Precision Computations

MA Horn and Johnson: Matrix Analysis

MABD Stewart: Matrix Algorithms: Basic Decompositions

MAE Stewart: Matrix Algorithms Volume II: Eigensystems

MEP Watkins: The Matrix Eigenvalue Problem: GR and Krylov Subspace Methods

MPT Stewart and Sun: Matrix Perturbation Theory

NLA Trefethen and Bau: Numerical Linear Algebra

NMA Ipsen: Numerical Matrix Analysis: Linear Systems and Least Squares

NMLE Saad: Numerical Methods for Large Eigenvalue Problems, revised edition

NMLS Björck: Numerical Methods for Least Squares Problems

NMSE Kressner: Numerical Methods for General and Structured Eigenvalue Problems

SAP Trefethen and Embree: Spectra and Pseudospectra

SEP Parlett: The Symmetric Eigenvalue Problem

SLAS Forsythe and Moler: Computer Solution of Linear Algebraic Systems

SLS Lawson and Hanson: Solving Least Squares Problems

TMA Horn and Johnson: Topics in Matrix Analysis

LAPACK LAPACK Users’ Guide, third edition
E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra,
J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. Sorensen.

scaLAPACK ScaLAPACK Users' Guide
L.S. Blackford, J. Choi, A. Cleary, E. D’Azevedo, J. Demmel, I. Dhillon,
J. Dongarra, S. Hammarling, G. Henry, A. Petitet, K. Stanley, D. Walker,
and R. C. Whaley.

LIN_TEMPLATES Templates for the Solution of Linear Systems:
Building Blocks for Iterative Methods
R. Barrett, M.W. Berry, T.F. Chan, J. Demmel, J. Donato, J. Dongarra, V. Eijkhout,
R. Pozo, C. Romine, and H. van der Vorst.

EIG_TEMPLATES Templates for the Solution of Algebraic Eigenvalue Problems:A Practical Guide
Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, and H. van der Vorst.

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