An iteration method for computing a nonsingular M-matrix solution of the quadratic matrix equations is developed, and its corresponding theory is given. Some numerical examples are provided to show ...

Iteration is the process of repeating steps. For example, a very simple algorithm for eating breakfast cereal might consist of these steps: put cereal in bowl add milk to cereal spoon cereal and ...

Two new nonlinear iterative methods named by the implicit-explicit quasi-Newton (IEQN) method and the derivative free implicit-explicit quasi-Newton (DFIEQN) method are introduced, in which the ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by F(x) = 0 ...

Picard iteration: A basic iterative method for solving differential and integral equations, wherein successive approximations are generated by a fixed-point formulation.