Matrix Computations

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JHU Press, Dec 27, 2012 - Mathematics - 784 pages

The fourth edition of Gene H. Golub and Charles F. Van Loan's classic is an essential reference for computational scientists and engineers in addition to researchers in the numerical linear algebra community. Anyone whose work requires the solution to a matrix problem and an appreciation of its mathematical properties will find this text useful and engaging.

This revision is a cover-to-cover expansion and renovation of the third edition. It now includes an introduction to tensor computations and brand new sections on • fast transforms• parallel LU• discrete Poisson solvers• pseudospectra• structured linear equation problems• structured eigenvalue problems• large-scale SVD methods• polynomial eigenvalue problems

Matrix Computations is packed with challenging problems, insightful derivations, and pointers to the literature—everything needed to become a matrix-savvy developer of numerical methods and software.


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Matrix Analysis
General Linear Systems
Orthogonalization and Least Squares
Modified Least Squares Problems and Methods
Unsymmetric Eigenvalue Problems
Symmetric Eigenvalue Problems
Functions of Matrices
Large Sparse Eigenvalue Problems
Large Sparse Linear System Problems
Special Topics

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About the author (2012)

Gene H. Golub (1932–2007) was a professor emeritus and former director of scientific computing and computational mathematics at Stanford University. Charles F. Van Loan is a professor of computer science at Cornell University, where he is the Joseph C. Ford Professor of Engineering.

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