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
AbstractA typical result given in this paper is as follows: For an N X N positive definite Hermitian...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
summary:In this paper, necessary and sufficient conditions for equality in the inequalities of Oppen...
AbstractWhen A and B are n × n positive semi-definite matrices, and C is an n × n Hermitian matrix, ...
AbstractLet M denote an n × n positive semidefinite Hermitian matrix,and let W = [ωij] be either a 2...
AbstractA matrix inequality is obtained, in an elementary way, for the Schur product of two positive...
AbstractIf A and C are n x n Hermitian matrices and if B is an n x n symmetric matrix, we consider i...
AbstractIn this note the author gives a simple proof of the following fact: Let r and s be two posit...
AbstractLet M denote an n × n positive semidefinite Hermitian matrix,and let W = [ωij] be either a 2...
AbstractIt is known that if A is positive definite Hermitian, then A·A-1⩾I in the positive semidefin...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractA typical result given in this paper is as follows: For an N X N positive definite Hermitian...
AbstractLet λ1(A)⩾⋯⩾λn(A) denote the eigenvalues of a Hermitian n by n matrix A, and let 1⩽i1< ⋯ <ik...
AbstractDenote by Hn the convex cone of n-by-n positive semi-definite hermitian matrices. Let d2 be ...
AbstractFor p > 1 we present reasonable nonnegative functions f(t) on [0,∞) such that in the space o...
AbstractA typical result given in this paper is as follows: For an N X N positive definite Hermitian...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
summary:In this paper, necessary and sufficient conditions for equality in the inequalities of Oppen...
AbstractWhen A and B are n × n positive semi-definite matrices, and C is an n × n Hermitian matrix, ...
AbstractLet M denote an n × n positive semidefinite Hermitian matrix,and let W = [ωij] be either a 2...
AbstractA matrix inequality is obtained, in an elementary way, for the Schur product of two positive...
AbstractIf A and C are n x n Hermitian matrices and if B is an n x n symmetric matrix, we consider i...
AbstractIn this note the author gives a simple proof of the following fact: Let r and s be two posit...
AbstractLet M denote an n × n positive semidefinite Hermitian matrix,and let W = [ωij] be either a 2...
AbstractIt is known that if A is positive definite Hermitian, then A·A-1⩾I in the positive semidefin...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractA typical result given in this paper is as follows: For an N X N positive definite Hermitian...
AbstractLet λ1(A)⩾⋯⩾λn(A) denote the eigenvalues of a Hermitian n by n matrix A, and let 1⩽i1< ⋯ <ik...
AbstractDenote by Hn the convex cone of n-by-n positive semi-definite hermitian matrices. Let d2 be ...
AbstractFor p > 1 we present reasonable nonnegative functions f(t) on [0,∞) such that in the space o...
AbstractA typical result given in this paper is as follows: For an N X N positive definite Hermitian...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
summary:In this paper, necessary and sufficient conditions for equality in the inequalities of Oppen...
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