Bad loci of free linear systems

Base Loci of Linear Systems and the Waring Problem

The Waring problem for forms is the quest for an additive decomposition of homogeneous polynomials into powers of linear ones. The subject has been widely considered in old times, [Sy], [Hi], [Ri] and [Pa], with special regards to the existence of a unique decomposition of this type. The following, see [RS], was the state of the art at the beginning of XX century. A general form f of degree d i...

Recognition of Linear Context-Free Rewriting Systems

The class of linear context-free rewriting systems has been introduced as a generalization of a class of grammar formalisms known as mildly context-sensitive. The recognition problem for linear context-free rewriting languages is studied at length here, presenting evidence that, even in some restricted cases, it cannot be solved efficiently. This entails the existence of a gap between, for exam...

On the Approximation of Pseudo Linear Systems by Linear Time Varying Systems (RESEARCH NOTE)

This paper presents a modified method for approximating nonlinear systems by a sequence of linear time varying systems. The convergence proof is outlined and the potential of this methodology is discussed. Simulation results are used to show the effectiveness of the proposed method.

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 ...

Complex fuzzy linear systems