| large-scale problems of engineering and scientific computingoften requlre solutions of eigenvalue and related problems thisbook gives a unified overview of theory．aigorithms．and practicalsoftware for eigenvalue problems．it organizes this large body ofmaterial to make it accessible for the first time to experts aswell as many nonexpert users who need to choose the beststate．of-the-art algorithms and software for their problems．usingan informai decision tree．range enough theory is introduced toidentify the relevant mathematicai structure that determines thebest aigorithm for each problem．the algorithms and software at the“leaves”of the deci5ioc treerange from the classical qr algorithm．which is most suitable forsmall dense matrices．to iterative algorithms for very largegeneralized eigenvalue problems．algorithms are presented in aunified style as template5．with different levels of detail suitablefor readers rangino from beginning students to experts。theauthors'comprehensive treatment includes a treasure of furtherbibliographic information． |
| 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 |
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