Software for Roundoff Analysis of Matrix Algorithms
eBook - PDF

Software for Roundoff Analysis of Matrix Algorithms

  1. 166 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Software for Roundoff Analysis of Matrix Algorithms

About this book

Computer Science and Applied Mathematics: A Series of Monographs and Textbooks: Software for Roundoff Analysis of Matrix Algorithms focuses on the presentation of techniques and software tools for analyzing the propagation of rounding error in matrix algorithms. The publication looks into some elements of error analysis, concepts from linear algebra and analysis, and directed graphs. Discussions focus on arithmetic graphs, sums of path products, linear transformations, Minkowski sums and Cartesian products, and elementary concepts from analysis. The text then examines software for roundoff analysis, including rounding and perturbations of the computational problem, comparing rounding errors with problem sensitivity, reverse condition numbers, and comparing two algorithms. The book ponders on case studies, as well as Gaussian elimination with iterative improvement, Cholesky factorization, Gauss-Jordan elimination, variants of the Gram-Schmidt method, and Cholesky factors after rank-one modifications. The text is a valuable reference for researchers interested in the techniques and software tools involved in the analysis of the propagation of rounding error in matrix algorithms.

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Information

Publisher
Academic Press
Year
2014
Print ISBN
9780124972506
eBook ISBN
9781483265155
Topic
Mathematik
Subtopic
Algebra

Table of contents

  1. Front Cover
  2. Software for Roundoff Analysis of Matrix Algorithms
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. CHAPTER 1. SOME ELEMENTS OF ERROR ANALYSIS
  7. CHAPTER 2. CONCEPTS FROM LINEAR ALGEBRA AND ANALYSIS
  8. CHAPTER 3. DIRECTED GRAPHS
  9. CHAPTER 4. SOFTWARE FOR ROUNDOFF ANALYSIS
  10. CHAPTER 5. CASE STUDIES
  11. Appendix: Fast Givens Transformations
  12. Bibliography
  13. Index

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Yes, you can access Software for Roundoff Analysis of Matrix Algorithms by Webb Miller,Celia Wrathall in PDF and/or ePUB format, as well as other popular books in Mathematik & Algebra. We have over one million books available in our catalogue for you to explore.