MATH 8680. Iterative Solution of Systems of Nonlinear Equations
| Course Code | MATE 8680 |
|---|---|
| Course Title | Iterative Solution of Systems of Nonlinear Equations |
| Credits | 3 |
| Hours | 3 per week |
| Prerequisites | MATH 6680, MATH 6690 |
| Description | Gâteaux and Fréchet derivatives. Mean value theorems and second derivatives. Contractions. Inverse and implicit function theorems. Sard’s theorem. Monotone operators. Degree theory. Properties of the degree and basic existence theorems. General iterative methods. Newton and secant methods and generalizations. Continuation methods. Predictor-corrector methods. Numerical bifurcation theory. |
| Additional Information |