Elementary Functions Algorithms and Implementation /

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This textbook presents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions (e.g., logarithms, exponentials, and the trigonometric functions). Both hardware- and software-oriented algorithms are included, along with issues related to accu...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Muller, Jean-Michel (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2016.
Edición:3rd ed. 2016.
Temas:
Mathematics-Data processing.
Algorithms.
Numerical analysis.
Mathematics.
Computational Science and Engineering.
Numerical Analysis.
Applications of Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Introduction to Computer Arithmetic
  • Part I: Algorithms Based on Polynomial Approximation and/or Table Lookup, Multiple-Precision Evaluation of Functions
  • The Classical Theory of Polynomial or Rational Approximations
  • Polynomial Approximations with Special Constraints
  • Polynomial Evaluation
  • Table-Based Methods
  • Multiple-Precision Evaluation of Functions
  • Part II: Shift-and-Add Algorithms
  • Introduction to Shift-and-Add Algorithms
  • The CORDIC Algorithm
  • Some Other Shift-and-Add Algorithms
  • Part III: Range Reduction, Final Rounding, and Exceptions
  • Range Reduction
  • Final Rounding
  • Miscellaneous
  • Examples of Implementation
  • References
  • Index.

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