Book description
This self-contained text is a step-by-step introduction and a complete overview of interval computation and result verification, a subject whose importance has steadily increased over the past many years. The author, an expert in the field, gently presents the theory of interval analysis through many examples and exercises, and guides the reader from the basics of the theory to current research topics in the mathematics of computation.
Contents
- Preliminaries
- Real intervals
- Interval vectors, interval matrices
- Expressions, P-contraction, ε-inflation
- Linear systems of equations
- Nonlinear systems of equations
- Eigenvalue problems
- Automatic differentiation
- Complex intervals
Table of contents
- Cover
- Title Page
- Front Matter01
- Copyright
- Front Matter02
- Table of Contents
- Preface
- 1 Preliminaries
- 2 Real intervals
- 3 Interval vectors, interval matrices
- 4 Expressions, P -contraction, ε -inflation
- 5 Linear systems of equations
- 6 Nonlinear systems of equations
- 7 Eigenvalue problems
- 8 Automatic differentiation
- 9 Complex intervals
- Final Remarks
- Appendix
- Bibliography
- Symbol Index
- Author Index
- Subject Index
Product information
- Title: Interval Analysis
- Author(s):
- Release date: April 2017
- Publisher(s): De Gruyter
- ISBN: 9783110498059
You might also like
book
Computer Arithmetic and Validity
This is the revised and extended second edition of the successful basic book on computer arithmetic. …
book
Toward Analytical Chaos in Nonlinear Systems
Exact analytical solutions to periodic motions in nonlinear dynamical systems are almost not possible. Since the …
video
Meet the Expert: Kerrie Holley on AI-First Healthcare
Almost everyone agrees on the value of AI, but ask what AI actually is and you’ll …
book
Biomedical Imaging
Covering both physical as well as mathematical and algorithmic foundations, this graduate textbook provides the reader …