Nonlinear Equations: Fixed-Point Methods, High-Order

Related lectures (30)

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Covers the Picard method for solving nonlinear equations using fixed point iteration.

Explores applying fixed point methods to solve electrical circuit equations and find diode voltage.

Introduces the fixed point method for solving nonlinear equations by transforming the problem into an equivalent form.

Explores high-order fixed-point methods and Newton-Raphson method for solving nonlinear equations.

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.

Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.

Addresses solving non-linear equations and systems numerically using fixed point and Newton's methods.

Explores Newton's method for finding roots of nonlinear equations and its interpretation as a second-order method.

Explores nonlinear equations, bisection, fixed-point methods, error control, and graphical interpretations of fixed points.