AbstractMatrix Riccati difference equations are investigated on the infinite index set. Under natural assumptions an existence and uniqueness theorem is proven. The existence of the asymptotic expansion of the solution and computability of its coefficients are shown, provided the coefficients of the equation have such an expansion
AbstractUnmixed solutions of the matrix equation XDX+XA+AX*−C=0, D⩾0 are studied
AbstractThe aim of this note is to generalize and apply results on matrix continued fractions repres...
International audienceDiscrete algebraic Riccati equations and their fixed points are well understoo...
AbstractMatrix Riccati difference equations are investigated on the infinite index set. Under natura...
AbstractIn the first part inequalities for solutions of Riccati matrix difference equations are obta...
In the first part inequalities for solutions of Riccati matrix difference equations are obtained whi...
AbstractIn this paper we investigate generalized Riccati differential and difference equations obtai...
AbstractThe asymptotic theory of the matrix Riccati equation is developed using non-variational argu...
AbstractWe discuss two comparison theorems for algebraic Riccati equations of the form XBR-1 B∗X−X(A...
AbstractWe derive comparison theorems for the matrix-valued Riccati equations of the form R′i(z) = B...
AbstractThe infinite-dimensional versions of the linear quadratic cost control problem and of the li...
AbstractWe survey recent and also older results on nonsymmetric matrix Riccati differential equation...
AbstractThe normwise backward error of an approximate solution to the discrete-time algebraic Riccat...
This is a survey of recent results on the classical problems of the analytic properties of Riccati e...
In this paper, the circular system of Riccati type complex difference equations of the form $ ...
AbstractUnmixed solutions of the matrix equation XDX+XA+AX*−C=0, D⩾0 are studied
AbstractThe aim of this note is to generalize and apply results on matrix continued fractions repres...
International audienceDiscrete algebraic Riccati equations and their fixed points are well understoo...
AbstractMatrix Riccati difference equations are investigated on the infinite index set. Under natura...
AbstractIn the first part inequalities for solutions of Riccati matrix difference equations are obta...
In the first part inequalities for solutions of Riccati matrix difference equations are obtained whi...
AbstractIn this paper we investigate generalized Riccati differential and difference equations obtai...
AbstractThe asymptotic theory of the matrix Riccati equation is developed using non-variational argu...
AbstractWe discuss two comparison theorems for algebraic Riccati equations of the form XBR-1 B∗X−X(A...
AbstractWe derive comparison theorems for the matrix-valued Riccati equations of the form R′i(z) = B...
AbstractThe infinite-dimensional versions of the linear quadratic cost control problem and of the li...
AbstractWe survey recent and also older results on nonsymmetric matrix Riccati differential equation...
AbstractThe normwise backward error of an approximate solution to the discrete-time algebraic Riccat...
This is a survey of recent results on the classical problems of the analytic properties of Riccati e...
In this paper, the circular system of Riccati type complex difference equations of the form $ ...
AbstractUnmixed solutions of the matrix equation XDX+XA+AX*−C=0, D⩾0 are studied
AbstractThe aim of this note is to generalize and apply results on matrix continued fractions repres...
International audienceDiscrete algebraic Riccati equations and their fixed points are well understoo...
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