Abstract. We derive a criterion for uniqueness of a critical point in rational approximation of degree 1. Although narrowly restricted in scope because it deals with degree 1 only, this criterion is interesting because it addresses a large class of functions. The method elaborates on the topological approach in [15] and [12]
© 2018, Pleiades Publishing, Ltd. New conditions are constructed for the critical point of the confo...
Over an algebraically closed field of positive characteristic, there exist rational functions with o...
AbstractBest rational approximation over the whole complex plane is investigated. While existence is...
This paper presents a criterion for uniqueness of a critical point in H_2,R rational approximation o...
Theme 4 - Simulation et optimisation de systemes complexes - Projet MIAOUAvailable at INIST (FR), Do...
28 pagesInternational audienceFor all n large enough, we show uniqueness of a critical point in best...
We prove a general criterion for the uniqueness of critical points of a functional in the presence o...
AbstractIn this paper the concept of strong uniqueness is extended to non-normal rational minimizati...
In this thesis, we establish sufficient conditions under which an optimization problem has a unique ...
Abstract. We present some basic tools in critical point theory. We first define the notion of differ...
In this talk we address the question whether a certain special subset of critical points of a Fr\'{e...
In this talk we address the question whether a certain special subset of critical points of a Fr\'{e...
AbstractWe develop an Lp analog to AAK theory on the unit circle that interpolates continuously betw...
New conditions are constructed for the critical point of the conformal radius (hyperbolic derivative...
The problem is considered of approximating continuous functions in the uniform norm by rational func...
© 2018, Pleiades Publishing, Ltd. New conditions are constructed for the critical point of the confo...
Over an algebraically closed field of positive characteristic, there exist rational functions with o...
AbstractBest rational approximation over the whole complex plane is investigated. While existence is...
This paper presents a criterion for uniqueness of a critical point in H_2,R rational approximation o...
Theme 4 - Simulation et optimisation de systemes complexes - Projet MIAOUAvailable at INIST (FR), Do...
28 pagesInternational audienceFor all n large enough, we show uniqueness of a critical point in best...
We prove a general criterion for the uniqueness of critical points of a functional in the presence o...
AbstractIn this paper the concept of strong uniqueness is extended to non-normal rational minimizati...
In this thesis, we establish sufficient conditions under which an optimization problem has a unique ...
Abstract. We present some basic tools in critical point theory. We first define the notion of differ...
In this talk we address the question whether a certain special subset of critical points of a Fr\'{e...
In this talk we address the question whether a certain special subset of critical points of a Fr\'{e...
AbstractWe develop an Lp analog to AAK theory on the unit circle that interpolates continuously betw...
New conditions are constructed for the critical point of the conformal radius (hyperbolic derivative...
The problem is considered of approximating continuous functions in the uniform norm by rational func...
© 2018, Pleiades Publishing, Ltd. New conditions are constructed for the critical point of the confo...
Over an algebraically closed field of positive characteristic, there exist rational functions with o...
AbstractBest rational approximation over the whole complex plane is investigated. While existence is...