Complex Singular Potential Interpretation of Low EnergyKNand $\bar{K}N$ Systems

Singular constrained linear systems

In the linear system Ax = b the points x are sometimes constrained to lie in a given subspace S of column space of A. Drazin inverse for any singular or nonsingular matrix, exist and is unique. In this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of Drazin inverse in solving such systems is investigated. Constrained linear system arise ...

On Hill's Equation with a Singular Complex-valued Potential

1. Introduction The differential equation y00 ‡ qy ˆ Ey is called Hill's equation if q is a realvalued, periodic, locally integrable function of a real variable. It is very well known that the spectrum of the operator associated with this equation consists of a countably in®nite number of compact intervals of the real line. These intervals are called (spectral) bands and are generally separated...

Existence Verification for Singular Zeros of Complex Nonlinear Systems

Computational fixed point theorems can be used to automatically verify existence and uniqueness of a solution to a nonlinear system of n equations in n variables ranging within a given region of n-space. Such computations succeed, however, only when the Jacobi matrix is nonsingular everywhere in this region. However, in problems such as bifurcation problems or surface intersection problems, the...

Complex fuzzy linear systems

The Generalized Wave Model Representation of Singular 2-D Systems

    M. and M.   Abstract: Existence and uniqueness of solution for singular 2-D systems depends on regularity condition. Simple regularity implies regularity and under this assumption, the generalized wave model (GWM) is introduced to cast singular 2-D system of equations as a family of non-singular 1-D models with variable structure.These index dependent models, along with a set of boundary co...