A Rational QZ Method

Enumerating Rational Curves: the Rational Fibration Method

Rational Homotopy Perturbation Method

The solution methods of nonlinear differential equations are very important because most of the physical phenomena are modelled by using such kind of equations. Therefore, this work presents a rational version of homotopy perturbation method RHPM as a novel tool with high potential to find approximate solutions for nonlinear differential equations. We present two case studies; for the first exa...

A Rational Method for Making Trade-offs

SOME wa SaT DECISIONS ARE EASY. If yOU nt to fly from New York to n Francisco as cheaply as possible, you simply find the airline offering the lowest fare and buy a ticket. You have only a single ohjective, so you need to make only a single set of comparisons. But having only one objective, as any decision maker knows, is a rare luxury. Usually, you're pursuing many different ohjectives simulta...

a new method for estimating rational function coefficients

rational functions are of great interest to engineers and geoscientists. the rational polynomial coefficient (rpc) model as a generalized sensor model has been introduced as an alternative for the rigorous sensor model of the satellite imaging. numerical instability of normal equations is the only single obstacle to the implementation of these functions. practically, estimating rational functio...

Computing eigenvalues occurring in continuation methods with the Jacobi-Davidson QZ method

Continuation methods are a well-known technique for computing several stationary solutions of problems involving one or more physical parameters. In order to determine whether a stationary solution is stable, and to detect the bifurcation points of the problem, one has to compute the rightmost eigenvalues of a related, generalized eigenvalue problem. The recently developed Jacobi-Davidson QZ me...