Add to ORKGAn exact solution of a linear difference equation in a finite number of steps has been obtained. This refutes the conventional wisdom that a simple iterative method for solving a system of linear algebraic equations is approximate. The nilpotency of the iteration matrix is the necessary and sufficient condition for getting an exact solution. The examples of iterative equations providing an exact solution to the simplest algebraic system are presented
A study is done of solution methods for Linear Matrix Equations including Lyapunov's equation, using...
AbstractSeveral algorithms have been proposed for the stable numerical computation of non-dominant s...
International audienceThe problem considered here is to refine an approximate, numerical, solution o...
An exact solution of a linear difference equation in a finite number of steps has been obtained. Thi...
Various ordinary differential equations of the first order have recently been used by the author for...
AbstractThe explicit solution of a linear difference equation of unbounded order with variable coeff...
nth-order constant-coefficient linear homogeneous difference equation. Let us write out the characte...
AbstractIn this article we propose a procedure which generates the exact solution for the system Ax ...
AbstractWe consider a large class of sequences which are defined by systems of (possibly nonlinear) ...
AbstractIn this paper, we present a new algorithm for the exact solutions of linear systems with int...
AbstractA necessary condition for a (non-autonomous) ordinary differential equation to be exactly so...
This is an mth-order linear nonhomogeneous difference equation defined on a discrete set of points x...
We present a new fast way to exactly solve non-singular linear systems with integer coefficients usi...
A difference equation is an equation relating the values of a function y and one or more of its diff...
International audienceIn our previous article Barkatou et al. (Proceedings of CASC 2015: 72–86, 2015...
A study is done of solution methods for Linear Matrix Equations including Lyapunov's equation, using...
AbstractSeveral algorithms have been proposed for the stable numerical computation of non-dominant s...
International audienceThe problem considered here is to refine an approximate, numerical, solution o...
An exact solution of a linear difference equation in a finite number of steps has been obtained. Thi...
Various ordinary differential equations of the first order have recently been used by the author for...
AbstractThe explicit solution of a linear difference equation of unbounded order with variable coeff...
nth-order constant-coefficient linear homogeneous difference equation. Let us write out the characte...
AbstractIn this article we propose a procedure which generates the exact solution for the system Ax ...
AbstractWe consider a large class of sequences which are defined by systems of (possibly nonlinear) ...
AbstractIn this paper, we present a new algorithm for the exact solutions of linear systems with int...
AbstractA necessary condition for a (non-autonomous) ordinary differential equation to be exactly so...
This is an mth-order linear nonhomogeneous difference equation defined on a discrete set of points x...
We present a new fast way to exactly solve non-singular linear systems with integer coefficients usi...
A difference equation is an equation relating the values of a function y and one or more of its diff...
International audienceIn our previous article Barkatou et al. (Proceedings of CASC 2015: 72–86, 2015...
A study is done of solution methods for Linear Matrix Equations including Lyapunov's equation, using...
AbstractSeveral algorithms have been proposed for the stable numerical computation of non-dominant s...
International audienceThe problem considered here is to refine an approximate, numerical, solution o...