AbstractWhen A and B are n × n positive semi-definite matrices, and C is an n × n Hermitian matrix, the validity of a quadratic inequality (x∗Ax)12(x∗Bx)12 ⩾ ¦x∗Cx¦ is shown to be equivalent to the existence of an n × n unitary matrix W such that A12WB12 + B12W∗A12 = 2C. Some related inequalities are also discussed
AbstractIt is known that if A is positive definite Hermitian, then A·A-1⩾I in the positive semidefin...
For positive semidefinite n×n matrices A and B, the singular value inequality (2+t)sj(ArB2-r+A2-rBr)...
AbstractLet λ1 and λN be, respectively, the greatest and smallest eigenvalues of an N×N hermitian ma...
AbstractWhen A and B are n × n positive semi-definite matrices, and C is an n × n Hermitian matrix, ...
AbstractA typical result given in this paper is as follows: For an N X N positive definite Hermitian...
AbstractLet M denote an n × n positive semidefinite Hermitian matrix,and let W = [ωij] be either a 2...
AbstractLetf(x1,…,xn)=∑i,j=1nαijxixj,aij=aji∈Rbe a real quadratic form such that the trace of the He...
AbstractWe settle in the affirmative a question of Bhatia and Kittaneh. For P and Q positive semidef...
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...
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...
International audienceWe study the classical Hermite-Hadamard inequality in the matrix setting. This...
AbstractIf A and C are n x n Hermitian matrices and if B is an n x n symmetric matrix, we consider i...
For positive semidefinite n×n matrices A and B, the singular value inequality (2+t)sj(ArB2-r+A2-rBr)...
AbstractIt is known that if A is positive definite Hermitian, then A·A-1⩾I in the positive semidefin...
For positive semidefinite n×n matrices A and B, the singular value inequality (2+t)sj(ArB2-r+A2-rBr)...
AbstractLet λ1 and λN be, respectively, the greatest and smallest eigenvalues of an N×N hermitian ma...
AbstractWhen A and B are n × n positive semi-definite matrices, and C is an n × n Hermitian matrix, ...
AbstractA typical result given in this paper is as follows: For an N X N positive definite Hermitian...
AbstractLet M denote an n × n positive semidefinite Hermitian matrix,and let W = [ωij] be either a 2...
AbstractLetf(x1,…,xn)=∑i,j=1nαijxixj,aij=aji∈Rbe a real quadratic form such that the trace of the He...
AbstractWe settle in the affirmative a question of Bhatia and Kittaneh. For P and Q positive semidef...
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...
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...
International audienceWe study the classical Hermite-Hadamard inequality in the matrix setting. This...
AbstractIf A and C are n x n Hermitian matrices and if B is an n x n symmetric matrix, we consider i...
For positive semidefinite n×n matrices A and B, the singular value inequality (2+t)sj(ArB2-r+A2-rBr)...
AbstractIt is known that if A is positive definite Hermitian, then A·A-1⩾I in the positive semidefin...
For positive semidefinite n×n matrices A and B, the singular value inequality (2+t)sj(ArB2-r+A2-rBr)...
AbstractLet λ1 and λN be, respectively, the greatest and smallest eigenvalues of an N×N hermitian ma...
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