What are the conditions for the convergence of the iteration method for solving?
If the function f is continuously differentiable, a sufficient condition for convergence is that the spectral radius of the derivative is strictly bounded by one in a neighborhood of the fixed point.
If this condition holds at the fixed point, then a sufficiently small neighborhood (basin of attraction) must exist.What is iterative convergence method?
Iterative convergence relates to the number of iterations required to obtain residuals that are sufficiently close to zero, either for a steady-state problem or for each time step in an unsteady problem.
What is saddle point in differential equation?
In mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions are all zero (a critical point), but which is not a local extremum of the function.
- In a matrix, an element is called the saddle point that is the minimum (or smallest) element row-wise and maximum (or largest) element column-wise.
The term saddle point is widely used in game theory.
Note that a matrix may have more than one, and may not have saddle points.
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