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.
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