AbstractIn this paper, we present some new estimates on ∑i|λi|2, where λi is an eigenvalue of a matrix, which improve Schur's inequality. By using these estimates, we provide a new criterion for nonsingularity of matrices and a monotonic iterative method for matrix 1-balancing problems
summary:We extend three inequalities involving the Hadamard product in three ways. First, the result...
Recently Kosaki proved an inequality for matrices that can be seen as a kind of new uncertainty prin...
AbstractA matrix trace inequality, which can be regarded as a non-commutative version of Grüss inequ...
AbstractLet A,B, and X be n×n complex matrices such that A and B are positive semidefinite. If p,q>1...
AbstractUpper trace bounds for the product of two n×n complex matrices are presented. The real compo...
AbstractA new lower bound on the smallest eigenvalue τ(A★B) for the Fan product of two nonsingular M...
AbstractIn this short paper, we give a complete and affirmative answer to a conjecture on matrix tra...
AbstractA generalized matrix version of reverse Cauchy–Schwarz/Hölder inequality is proved. This inc...
AbstractA matrix reverse Hölder inequality is given. This result is a counterpart to the concavity p...
AbstractUsing an approach of Bergh, we give an alternate proof of Bennett's result on lower bounds f...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
AbstractThis paper discusses some Cauchy–Khinchin integral inequalities. Khinchin [2] obtained an in...
AbstractIn this short paper, we study some trace inequalities of the products of the matrices and th...
AbstractWe prove: if (xij) is an m×n matrix with non-negative real entries, which are not all equal ...
summary:We extend three inequalities involving the Hadamard product in three ways. First, the result...
summary:We extend three inequalities involving the Hadamard product in three ways. First, the result...
Recently Kosaki proved an inequality for matrices that can be seen as a kind of new uncertainty prin...
AbstractA matrix trace inequality, which can be regarded as a non-commutative version of Grüss inequ...
AbstractLet A,B, and X be n×n complex matrices such that A and B are positive semidefinite. If p,q>1...
AbstractUpper trace bounds for the product of two n×n complex matrices are presented. The real compo...
AbstractA new lower bound on the smallest eigenvalue τ(A★B) for the Fan product of two nonsingular M...
AbstractIn this short paper, we give a complete and affirmative answer to a conjecture on matrix tra...
AbstractA generalized matrix version of reverse Cauchy–Schwarz/Hölder inequality is proved. This inc...
AbstractA matrix reverse Hölder inequality is given. This result is a counterpart to the concavity p...
AbstractUsing an approach of Bergh, we give an alternate proof of Bennett's result on lower bounds f...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
AbstractThis paper discusses some Cauchy–Khinchin integral inequalities. Khinchin [2] obtained an in...
AbstractIn this short paper, we study some trace inequalities of the products of the matrices and th...
AbstractWe prove: if (xij) is an m×n matrix with non-negative real entries, which are not all equal ...
summary:We extend three inequalities involving the Hadamard product in three ways. First, the result...
summary:We extend three inequalities involving the Hadamard product in three ways. First, the result...
Recently Kosaki proved an inequality for matrices that can be seen as a kind of new uncertainty prin...
AbstractA matrix trace inequality, which can be regarded as a non-commutative version of Grüss inequ...
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