An existence result for the global Newton method. (English) Zbl 0487.55001

Gould, F. J.; Schmidt, C. P.

Variational inequalities and complementarity problems, theory and applications, Proc. int. School Math., Erice/Sicily 1978, 187-194 (1980).

MSC:

55M20	Fixed points and coincidences in algebraic topology
58C30	Fixed-point theorems on manifolds
65H10	Numerical computation of solutions to systems of equations
90C30	Nonlinear programming
65K05	Numerical mathematical programming methods
49M15	Newton-type methods
65K10	Numerical optimization and variational techniques
49M37	Numerical methods based on nonlinear programming

Keywords:

global analysis; analysis on manifolds; nonlinear equations; homotopy; existence of solutions; constructive existence proof

Citations:

Zbl 0476.00017