SIAM Journal on Numerical Analysis, Vol. 17, No. 2 (Apr., 1980), pp. 238-246 (9 pages) Necessary and sufficient conditions are derived for a cubic to be monotone on an interval. These conditions are ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

Focuses on numerical solution of nonlinear equations, interpolation, methods in numerical integration, numerical solution of linear systems, and matrix eigenvalue problems. Stresses significant ...

Some definitions on stability of interpolating process are given and then the sufficient and necessary conditions are obtained. On this basis, we conclude that the Lagrange interpolation is unstable, ...