HYBRID FDTD/FETD TECHNIQUE USING PARAMETRIC QUADRATIC PROGRAMMING FOR NONLINEAR MAXWELL'S EQUATIONS

Sequential quadratic programming methods for parametric nonlinear optimization

Sequential quadratic programming (SQP) methods are known to be efficient for solving a series of related nonlinear optimization problems because of desirable hot and warm start properties–a solution for one problem is a good estimate of the solution of the next. However, standard SQP solvers contain elements to enforce global convergence that can interfere with the potential to take advantage o...

A meshless technique for nonlinear Volterra-Fredholm integral equations via hybrid of radial basis functions

In this paper, an effective technique is proposed to determine thenumerical solution of nonlinear Volterra-Fredholm integralequations (VFIEs) which is based on interpolation by the hybrid ofradial basis functions (RBFs) including both inverse multiquadrics(IMQs), hyperbolic secant (Sechs) and strictly positive definitefunctions. Zeros of the shifted Legendre polynomial are used asthe collocatio...

Solving systems of nonlinear equations using decomposition technique

A systematic way is presented for the construction of multi-step iterative method with frozen Jacobian. The inclusion of an auxiliary function is discussed. The presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of Newton multi-step method. The auxiliary function provides us the way to overcome the singul...

Notes on Parametric Quadratic Programming

The primal-dual algorithm of parametric linear programming (e.g. {l]) can be extended in some sence to parametric quadratic programming problems as follows. § 1. Problem of the first type Let us consider the following quadratic programming problem PIA with a parameter A. where C is an n X n positive semi-definite matrix, A is an m X n matrix, p and x are n-vectors, and band d are m-vectors. We ...

Modified Gauss Elimination Technique for Separable Nonlinear Programming Problem