On theoretical foundations of newton’s method of solving nonlinear equations Cover Image

Teoretyczne podstawy metody Newtona przybliżonego rozwiązywania równań nieliniowych
On theoretical foundations of newton’s method of solving nonlinear equations

Author(s): Wacława Tempczyk, Aleksander Strasburger
Subject(s): Economy
Published by: Szkoła Główna Gospodarstwa Wiejskiego w Warszawie
Keywords: multidimensional Newton’s method; method of successive approximations; numerical approximations

Summary/Abstract: The paper surveys basic theoretical concepts and formulations underlying the multidimensional Newton’s method of constructing approximate solutions to systems of nonlinear equations., which was used in the papers [Strasburger et al. (2009), Strasburger et al. (2011)] for modeling certain aspects of consumer’s theory. This method is based on relatively simple mathematical concepts and is a very flexible tool for both theoretical arguments as well as for numerical computations. It certainly deserves to be better known in the community of mathematical economists.

  • Issue Year: XII/2011
  • Issue No: 2
  • Page Range: 357-364
  • Page Count: 8
  • Language: Polish