AbstractThe smallest rectangle containing the numerical range of a real matrix is determined
AbstractLet A be a complex n×n matrix. We find lower bounds for its numerical radius r(A)=max{|x∗Ax|...
AbstractLet A be a complex n×n matrix, θ a matricial norm and r(A) the spectral radius of A. Then, i...
AbstractNecessary and sufficient conditions are given for the C-numerical range of a matrix A to be ...
AbstractLet A be an n×n complex matrix and c=(c1,c2,…,cn) a real n-tuple. The c-numerical range of A...
AbstractWe investigate the shape of the numerical range. A criterion for the numerical range of a ma...
AbstractWe prove that if a finite matrix A of the form [aIB0C]is such that its numerical range W(A) ...
AbstractIn this paper, we prove the converse of a well known result in the field of the numerical ra...
AbstractA characterization of real matrices is given for which a diagonal entry of a matrix is a bou...
International audienceIn an attempt to progress towards proving the conjecture the numerical range W...
AbstractThe characterization of all linear operators on matrices which preserve the decomposable num...
AbstractThe c-numerical range of a rank one matrix is explicitly described. Its proof is approached ...
AbstractLet Cn×n be the vector space of n × n complex matrices, and denote by Un the group of n×n un...
AbstractThe numerical range of a bounded linear operator T on a Hilbert space H is defined to be the...
AbstractA simple algorithm is presented for computing the numerical radius of a complex matrix. It i...
AbstractAlgorithms are presented which decide, for a given complex number w and a given complex n×n ...
AbstractLet A be a complex n×n matrix. We find lower bounds for its numerical radius r(A)=max{|x∗Ax|...
AbstractLet A be a complex n×n matrix, θ a matricial norm and r(A) the spectral radius of A. Then, i...
AbstractNecessary and sufficient conditions are given for the C-numerical range of a matrix A to be ...
AbstractLet A be an n×n complex matrix and c=(c1,c2,…,cn) a real n-tuple. The c-numerical range of A...
AbstractWe investigate the shape of the numerical range. A criterion for the numerical range of a ma...
AbstractWe prove that if a finite matrix A of the form [aIB0C]is such that its numerical range W(A) ...
AbstractIn this paper, we prove the converse of a well known result in the field of the numerical ra...
AbstractA characterization of real matrices is given for which a diagonal entry of a matrix is a bou...
International audienceIn an attempt to progress towards proving the conjecture the numerical range W...
AbstractThe characterization of all linear operators on matrices which preserve the decomposable num...
AbstractThe c-numerical range of a rank one matrix is explicitly described. Its proof is approached ...
AbstractLet Cn×n be the vector space of n × n complex matrices, and denote by Un the group of n×n un...
AbstractThe numerical range of a bounded linear operator T on a Hilbert space H is defined to be the...
AbstractA simple algorithm is presented for computing the numerical radius of a complex matrix. It i...
AbstractAlgorithms are presented which decide, for a given complex number w and a given complex n×n ...
AbstractLet A be a complex n×n matrix. We find lower bounds for its numerical radius r(A)=max{|x∗Ax|...
AbstractLet A be a complex n×n matrix, θ a matricial norm and r(A) the spectral radius of A. Then, i...
AbstractNecessary and sufficient conditions are given for the C-numerical range of a matrix A to be ...