Algebraic Properties of Self-Adjoint Systems

Self-adjoint differential-algebraic equations

Algebraic adjoint of the polynomials-polynomial matrix multiplication

This paper deals with a result concerning the algebraic dual of the linear mapping defined by the multiplication of polynomial vectors by a given polynomial matrix over a commutative field

Order Properties of Bounded Self-adjoint Operators1

Non-self-adjoint Linear Systems

We study iterative methods for solving linear systems of the type arising from two-cyclic discretizations of non-self-adjoint two-dimensional elliptic partial differential equations. A prototype is the convection-diffusion equation. The methods consist of applying one step of cyclic reduction, resulting in a "reduced system" of half the order of the original discrete problem, combined with a re...

Algebraic Properties of Noncommensurate Systems

Noncommensurate systems are those in which either the input vector or the output vector contains elements with different physical units. Such systems are encountered in situations where different physical quantities must be combined to achieve a given goal. An example is the control of robot manipulators where position with units of distance and orientation with units of angle must be combined....