Reliable Numerical Computation
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Author Description
Published to honor the late Jim Wilkinson, the respected pioneer in numerical analysis, this book includes contributions from his colleagues and collaborators, leading experts in their own right. The breadth of Wilkinson's research is reflected in the topics covered, which include linear algebra, error analysis and computer arithmetic algorithms, and mathematical software. An invaluable reference, the book is completely up-to-date with the latest developments on the Lanczos algorithm, QR-factorizations, error propagation models, parameter estimation problems, sparse systems, and shape-preserving splines. Reflecting the current growth and vitality of this field, the volume is an essential reference for all numerical analysts.
Menrva's Summary
THE THESIS
This volume investigates the foundational and advanced principles of numerical analysis, serving as a comprehensive tribute to the research legacy of Jim Wilkinson. The editors, M. G. Cox and S. Hammarling, compile contributions from leading experts to synthesize the current state of computational mathematics. The text provides a rigorous framework for understanding error propagation, algorithmic stability, and the practical application of mathematical software in complex systems.
THE SCOPE MAP
What You Will Find
- Advanced methodologies for linear algebra and QR-factorizations.
- Analysis of computer arithmetic algorithms and error propagation models.
- Technical exploration of the Lanczos algorithm and sparse systems.
- Practical applications in parameter estimation and shape-preserving splines.
THE AUTHORITY PERSPECTIVE
Experts recognize this volume as a significant reference for professionals and researchers working in the field of numerical analysis. Readers frequently note the technical density of the prose, which assumes a high level of mathematical proficiency from its audience.
Page Count:
360
Publication Date:
1991-01-17
Publisher:
Clarendon Press
ISBN-10:
0198535643
ISBN-13:
9780198535645
Linear Algebra
Computer Science
Numerical analysis
Mathematics
Algorithms
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