Stability and conditioning in Numerical Analysis
Stability and conditioning in Numerical Analysis
Summary: The terms stability and conditioning are used with a variety of meanings in numerical analysis. All of them have in common the general concept of the response of a computational algorithm to perturbations arising either from the data or from the specific arithmetic used on computers. In this paper we review the two concepts by using simple examples taken from both linear algebra and numerical methods for ordinary differential equations.
- University of Florence Italy
- University of Bari Aldo Moro Italy
numerical examples, stiffness, boundary value problems, ordinary differential equations, Numerical computation of matrix norms, conditioning, scaling, numerical linear algebra, dynamical systems, Stability and convergence of numerical methods for ordinary differential equations, Numerical nonlinear stabilities in dynamical systems
numerical examples, stiffness, boundary value problems, ordinary differential equations, Numerical computation of matrix norms, conditioning, scaling, numerical linear algebra, dynamical systems, Stability and convergence of numerical methods for ordinary differential equations, Numerical nonlinear stabilities in dynamical systems
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