This book (along with volume 2 covers most of the traditional
methods for polynomial root-finding such as Newton s, as well as
numerous variations on them invented in the last few decades.
Perhaps more importantly it covers recent developments such as
Vincent s method, simultaneous iterations, and matrix methods.
There is an extensive chapter on evaluation of polynomials,
including parallel methods and errors. There are pointers to robust
and efficient programs. In short, it could be entitled A Handbook
of Methods for Polynomial Root-finding . This book will be
invaluable to anyone doing research in polynomial roots, or
teaching a graduate course on that topic.
- First comprehensive treatment of Root-Finding in several
decades.
- Gives description of high-grade software and where it can be
down-loaded.
- Very up-to-date in mid-2006; long chapter on matrix
methods.
- Includes Parallel methods, errors where appropriate.
- Invaluable for research or graduate course.
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