求解代数特征值问题模板

List of Symbols and Acronyms

List of Iterative Algorithm Templates

List of Direct Algorithms

List of Figures

List of Tables

1 Introduction

2 A Brief Tour of Eigenproblems

3 An Introduction to Iterative Projection Methods

4 Hermitian Eigenvalue Problems

5 Generalizes Hermitian Eigenvalue Problems

6 Singular Value Decomposition

7 Non-Hermitian Eigenvalue Problems

8 Generalized Non-Hermitian Eigenvalue Problems

9 Nonlineer Eigenvalue Problems

10 Common Issues

List of Symbols and Acronyms

List of Iterative Algorithm Templates

List of Direct Algorithms

List of Figures

List of Tables

1 Introduction

2 A Brief Tour of Eigenproblems

3 An Introduction to Iterative Projection Methods

4 Hermitian Eigenvalue Problems

5 Generalizes Hermitian Eigenvalue Problems

6 Singular Value Decomposition

7 Non-Hermitian Eigenvalue Problems

8 Generalized Non-Hermitian Eigenvalue Problems

9 Nonlineer Eigenvalue Problems

10 Common Issues

11 Preconditioning Techniques

Appendix.Of Things Not Treated

Bibliography

Index

Tsinghua University Press is authorized by SIAM to publish and
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Large-scale problems of engineering and scientific computing
often reqUlre solutions of eigenvalue and related problems This
book gives a unified overview of theory．aIgorithms．and practical
software for eigenvalue problems．It organizes this large body of
material to make it accessible for the first time to experts as
well as many nonexpert users who need to choose the best
state．of-the-art algorithms and software for their problems．Using
an informaI decision tree．range enough theory is introduced to
identify the relevant mathematicaI structure that determines the
best aIgorithm for each problem．
The algorithms and software at the“leaves”of the deci5iOC tree
range from the classical QR algorithm．which is most suitable for
small dense matrices．to iterative algorithms for very large
generalized eigenvalue problems．Algorithms are presented in a
unified style as template5．with different levels of detail suitable
for readers rangino from beginning students to experts。The
authors'comprehensive treatment includes a treasure of further
bibliographic information．