Compact Numerical Methods for Computers
eBook - ePub

Compact Numerical Methods for Computers

Linear Algebra and Function Minimisation

  1. 278 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Compact Numerical Methods for Computers

Linear Algebra and Function Minimisation

Book details
Table of contents
Citations

About This Book

This second edition of Compact Numerical Methods for Computers presents reliable yet compact algorithms for computational problems. As in the previous edition, the author considers specific mathematical problems of wide applicability, develops approaches to a solution and the consequent algorithm, and provides the program steps. He emphasizes usefu

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Information

Publisher
Routledge
Year
2018
ISBN
9781351459556
Edition
1
Topic
Computer Science
Subtopic
Programming Games
Index
Computer Science

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. Preface to the Second Edition
  7. Preface to the First Edition
  8. 1. A STARTING POINT
  9. 2. FORMAL PROBLEMS IN LINEAR ALGEBRA
  10. 3. THE SINGULAR-VALUE DECOMPOSITION AND ITS USE TO SOLVE LEAST-SQUARES PROBLEMS
  11. 4. HANDLING LARGER PROBLEMS
  12. 5. SOME COMMENTS ON THE FORMATION OF THE CROSS-PRODUCTS MATRIX ATA
  13. 6. LINEAR EQUATIONS—A DIRECT APPROACH
  14. 7. THE CHOLESKI DECOMPOSITION
  15. 8. THE SYMMETRIC POSITIVE DEFINITE MATRIX AGAIN
  16. 9. THE ALGEBRAIC EIGENVALUE PROBLEM
  17. 10. REAL SYMMETRIC MATRICES
  18. 11. THE GENERALISED SYMMETRIC MATRIX EIGENVALUE PROBLEM
  19. 12. OPTIMISATION AND NONLINEAR EQUATIONS
  20. 13. ONE-DIMENSIONAL PROBLEMS
  21. 14. DIRECT SEARCH METHODS
  22. 15. DESCENT TO A MINIMUM I: VARIABLE METRIC ALGORITHMS
  23. 16. DESCENT TO A MINIMUM II: CONJUGATE GRADIENTS
  24. 17. MINIMISING A NONLINEAR SUM OF SQUARES
  25. 18. LEFT-OVERS
  26. 19. THE CONJUGATE GRADIENTS METHOD APPLIED TO PROBLEMS IN LINEAR ALGEBRA
  27. APPENDICES
  28. BIBLIOGRAPHY
  29. INDEX