Polynomial Root-finding And Polynomiography
eBook - PDF

Polynomial Root-finding And Polynomiography

  1. 492 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Polynomial Root-finding And Polynomiography

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Yes, you can access Polynomial Root-finding And Polynomiography by Bahman Kalantari in PDF and/or ePUB format, as well as other popular books in Biological Sciences & Science General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Contents
  2. Preface
  3. Introduction
  4. 1. Approximation of Square-Roots and Their Visualizations
  5. 2. The Fundamental Theorem of Algebra and a Special Case of Taylor's Theorem
  6. 3. Introduction to the Basic Family and Polynomiography
  7. 4. Equivalent Formulations of the Basic Family
  8. 5. Basic Family as Dynamical System
  9. 6. Fixed Points of the Basic Family
  10. 7. Algebraic Derivation of the Basic Family and Characterizations
  11. 8. The Truncated Basic Family and the Case of Halley Family
  12. 9. Characterizations of Solutions of Homogeneous Linear Recurrence Relations
  13. 10. Generalization of Taylor's Theorem and Newton's Method
  14. 11. The Multipoint Basic Family and its Order of Convergence
  15. 12. A Computational Study of the Multipoint Basic Family
  16. 13. A General Determinantal Lower Bound
  17. 14. Formulas for Approximation of Pi Based on Root-Finding Algorithms
  18. 15. Bounds on Roots of Polynomials and Analytic Functions
  19. 16. A Geometric Optimization and its Algebraic O springs
  20. 17. Polynomiography: Algorithms for Visualization of Polynomial Equations
  21. 18. Visualization of Homogeneous Linear Recurrence Relations
  22. 19. Applications of Polynomiography in Art, Education, Science and Mathematics
  23. 20. Approximation of Square-Roots Revisited
  24. 21. Further Applications and Extensions of the Basic Family and Polynomiography
  25. Bibliography
  26. Index