AbstractLetf(x1,…,xn)=∑i,j=1nαijxixj,aij=aji∈Rbe a real quadratic form such that the trace of the Hermitian matrixf(V1,…,Vn):=∑i,j=1nαijVi∗Vjis nonnegative for all unitary 2n×2n matrices V1,…,Vn. We prove that f(U1,…,Un) is positive semidefinite for all unitary matrices U1,…,Un of arbitrary size m×m
In the theory of modular forms it is desired to be able to validate the linear independance of modul...
International audienceWe study the classical Hermite-Hadamard inequality in the matrix setting. This...
International audienceWe study the classical Hermite-Hadamard inequality in the matrix setting. This...
AbstractWhen A and B are n × n positive semi-definite matrices, and C is an n × n Hermitian matrix, ...
The purpose of this paper is to present some inequalities on majorization, unitarily invariant norm,...
AbstractThe purpose of this paper is to present some inequalities on majorization, unitarily invaria...
AbstractIt is remarked that if A, B ϵ Mn(C), A = At, and B̄ = Bt, B positive definite, there exists ...
AbstractA matrix [aij(α)xij] is shown to be positive semidefinite or positive definite if the matrix...
In this note, the matrix trace inequality for positive semidefinite matrices A and B, is established...
Mehrmann V. On classes of matrices containing M-matrices, totally nonnegative and hermitian positive...
AbstractIt is known that if A is positive definite Hermitian, then A·A-1⩾I in the positive semidefin...
AbstractFor p > 1 we present reasonable nonnegative functions f(t) on [0,∞) such that in the space o...
We prove that an n-by-n complex positive semidefinite matrix of rank r whose graph is connected, who...
International audienceWe study the classical Hermite-Hadamard inequality in the matrix setting. This...
Abstract. Let M be an archimedean quadratic module of real t × t matrix polynomials in n variables, ...
In the theory of modular forms it is desired to be able to validate the linear independance of modul...
International audienceWe study the classical Hermite-Hadamard inequality in the matrix setting. This...
International audienceWe study the classical Hermite-Hadamard inequality in the matrix setting. This...
AbstractWhen A and B are n × n positive semi-definite matrices, and C is an n × n Hermitian matrix, ...
The purpose of this paper is to present some inequalities on majorization, unitarily invariant norm,...
AbstractThe purpose of this paper is to present some inequalities on majorization, unitarily invaria...
AbstractIt is remarked that if A, B ϵ Mn(C), A = At, and B̄ = Bt, B positive definite, there exists ...
AbstractA matrix [aij(α)xij] is shown to be positive semidefinite or positive definite if the matrix...
In this note, the matrix trace inequality for positive semidefinite matrices A and B, is established...
Mehrmann V. On classes of matrices containing M-matrices, totally nonnegative and hermitian positive...
AbstractIt is known that if A is positive definite Hermitian, then A·A-1⩾I in the positive semidefin...
AbstractFor p > 1 we present reasonable nonnegative functions f(t) on [0,∞) such that in the space o...
We prove that an n-by-n complex positive semidefinite matrix of rank r whose graph is connected, who...
International audienceWe study the classical Hermite-Hadamard inequality in the matrix setting. This...
Abstract. Let M be an archimedean quadratic module of real t × t matrix polynomials in n variables, ...
In the theory of modular forms it is desired to be able to validate the linear independance of modul...
International audienceWe study the classical Hermite-Hadamard inequality in the matrix setting. This...
International audienceWe study the classical Hermite-Hadamard inequality in the matrix setting. This...
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