We make a start on the investigation of “small” solutions to systems of homogeneous linear equations over non-commutative division algebras. In this paper we prove some upper and lower bounds for the sizes of solutions to such systems. To measure solutions and coefficient matrices we define heights which satisfy natural invariance and finiteness properties
AbstractA sufficient condition is given, involving the grade of an ideal as modified by M. Hochster,...
AbstractWe derive bounds for the solution of an irreducible tridiagonal linear system of dimension N...
AbstractBy using results of coding theory, we give results on the number of solutions of some system...
AbstractWe make a start on the investigation of “small” solutions to systems of homogeneous linear e...
We describe through an algebraic and geometrical study, a new method for solving systems of linear d...
AbstractWe Count the number of solutions with height less than or equal to B to a system of linear e...
summary:From the fact that the unique solution of a homogeneous linear algebraic system is the trivi...
In this paper, we study the general system of linear equations in the algebra. We introduce a symmet...
We consider systems of polynomial equations and inequalities to be solved in integers. By applying t...
AbstractLet Ax = B be a system of m × n linear equations with integer coefficients. Assume the rows ...
Let Ax = B be a system of m x n linear equations with integer coefficients. Assume the rows of A are...
Linear algebra is a language which is used in all sciences (and beyond). For a class consisting of s...
We complete the analysis of the symmetry algebra L for systems of n second-order linear ODEs with co...
AbstractWe characterize the solution set S of real linear systems Ax=b by a set of inequalities if b...
summary:Max-min algebra and its various aspects have been intensively studied by many authors [1, 4]...
AbstractA sufficient condition is given, involving the grade of an ideal as modified by M. Hochster,...
AbstractWe derive bounds for the solution of an irreducible tridiagonal linear system of dimension N...
AbstractBy using results of coding theory, we give results on the number of solutions of some system...
AbstractWe make a start on the investigation of “small” solutions to systems of homogeneous linear e...
We describe through an algebraic and geometrical study, a new method for solving systems of linear d...
AbstractWe Count the number of solutions with height less than or equal to B to a system of linear e...
summary:From the fact that the unique solution of a homogeneous linear algebraic system is the trivi...
In this paper, we study the general system of linear equations in the algebra. We introduce a symmet...
We consider systems of polynomial equations and inequalities to be solved in integers. By applying t...
AbstractLet Ax = B be a system of m × n linear equations with integer coefficients. Assume the rows ...
Let Ax = B be a system of m x n linear equations with integer coefficients. Assume the rows of A are...
Linear algebra is a language which is used in all sciences (and beyond). For a class consisting of s...
We complete the analysis of the symmetry algebra L for systems of n second-order linear ODEs with co...
AbstractWe characterize the solution set S of real linear systems Ax=b by a set of inequalities if b...
summary:Max-min algebra and its various aspects have been intensively studied by many authors [1, 4]...
AbstractA sufficient condition is given, involving the grade of an ideal as modified by M. Hochster,...
AbstractWe derive bounds for the solution of an irreducible tridiagonal linear system of dimension N...
AbstractBy using results of coding theory, we give results on the number of solutions of some system...
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