AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says that2sj(AB∗)⩽sj(A∗A+B∗B),j=1,2,…for any matrices A, B. We give a new equivalent form and some relevant generalizations of this inequality. In particular, we show thatsjA14B34+A34B14⩽sj(A+B),j=1,…,nfor any n×n positive semidefinite matrices A, B, which proves a special case of Zhan’s conjecture posed in 2000
The original publication is available at www.springerlink.comFor two Hermitian matrices A and B, at ...
AbstractIdeas related to matrix versions of the arithmetic-geometric mean inequality are explained
Let H∈Cn×n have real eigenvalues λ1(H)≥⋯≥λn(H). It is known that if G and H are two nonnegative matr...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
For positive semidefinite n×n matrices A and B, the singular value inequality (2+t)sj(ArB2-r+A2-rBr)...
For positive semidefinite n×n matrices A and B, the singular value inequality (2+t)sj(ArB2-r+A2-rBr)...
We obtain a characterization of pair matrices A and B of order n such that sjA≤sjB, j=1, …, n, where...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractWe settle in the affirmative a question of Bhatia and Kittaneh. For P and Q positive semidef...
AbstractWe prove a matrix inequality for matrix monotone functions, and apply it to prove a singular...
AbstractLet A and Z be n-by-n matrices. Suppose A⩾0 (positive semi-definite) and Z>0 with extremal e...
AbstractLet A,B, and X be n×n complex matrices such that A and B are positive semidefinite. If p,q>1...
AbstractWe obtain several inequalities relating the singular values of A+B and those of A+iB when A ...
AbstractA sharper form of the arithmetic-geometric-mean inequality for a pair of positive definite m...
The original publication is available at www.springerlink.comFor two Hermitian matrices A and B, at ...
AbstractIdeas related to matrix versions of the arithmetic-geometric mean inequality are explained
Let H∈Cn×n have real eigenvalues λ1(H)≥⋯≥λn(H). It is known that if G and H are two nonnegative matr...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
For positive semidefinite n×n matrices A and B, the singular value inequality (2+t)sj(ArB2-r+A2-rBr)...
For positive semidefinite n×n matrices A and B, the singular value inequality (2+t)sj(ArB2-r+A2-rBr)...
We obtain a characterization of pair matrices A and B of order n such that sjA≤sjB, j=1, …, n, where...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractFor positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B)2||| isshown to ho...
AbstractWe settle in the affirmative a question of Bhatia and Kittaneh. For P and Q positive semidef...
AbstractWe prove a matrix inequality for matrix monotone functions, and apply it to prove a singular...
AbstractLet A and Z be n-by-n matrices. Suppose A⩾0 (positive semi-definite) and Z>0 with extremal e...
AbstractLet A,B, and X be n×n complex matrices such that A and B are positive semidefinite. If p,q>1...
AbstractWe obtain several inequalities relating the singular values of A+B and those of A+iB when A ...
AbstractA sharper form of the arithmetic-geometric-mean inequality for a pair of positive definite m...
The original publication is available at www.springerlink.comFor two Hermitian matrices A and B, at ...
AbstractIdeas related to matrix versions of the arithmetic-geometric mean inequality are explained
Let H∈Cn×n have real eigenvalues λ1(H)≥⋯≥λn(H). It is known that if G and H are two nonnegative matr...
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