Numerical methods for unconstrained optimization and nonlinear equations
J. E. Dennis, Jr., Robert B. Schnabel.
Englewood Cliffs, N.J. : Prentice-Hall, ©1983.
xiii, 378 págs. : ilustraciones ; 24 cm.
Serie: Prentice-Hall series in computational mathematics
ISBN: 0136272169
Incluye referencias bibliográficas (p. 364-370) e índices.
Reseña: MathSciNet, 85j:65001
Contenido
- 1. Introduction
- 2. Nonlinear problems in one variable
- 3. Numerical linear algebra background
- 4. Multivariable calculus background
- 5. Newton's method for nonlinear equations and unconstrained minimization
- 6. Globally convergent modifications of Newton's method
- 7. Stopping, scaling, and testing
- 8. Secant methods for systems of nonlinear equations
- 9. Secant methods for unconstrained minimization
- 10. Nonlinear least squares
- 11. Methods for problems with special structure
- Appendix A. A modular system of algorithms for unconstrained minimization and nonlinear equations / by Robert Schnabel
- Appendix B. Test problems / by Robert Schnabel.