Asymptotic behavior of Gelfand-Naimark decomposition
, 2009 Let X = LσU be the Gelfand-Naimark decomposition of X ∈ GLn(C) , where L is unit lower triangular, σ is a permutation matrix, and U is upper triangular. Call u(X) := diagU the u -component of X .
Huajun Huang
semanticscholar +1 more source
Several inequalities for the largest singular value and the spectral radius of matrices
, 2007 For nonnegative matrices A = (aij) ∈ Rn×m , B = (bij) ∈ Rm×n and any t ∈ [0, 1] , we present σ(St(A,B)) σ(A)tσ(B)1−t , in which St(A,B) = (atijb ji ) and σ(·) denotes the largest singular value.
S. Shen, Tingzhu Huang
semanticscholar +1 more source
Norm inequalities involving matrix monotone functions
, 2004 Let A,B, X be complex matrices with A, B Hermitian positive definite and let f : (0,∞) → (0,∞) be matrix monotone increasing. We prove (2 + t) ||| A 1 2 (f (A)Xf ⊥(B) + f ⊥(A)Xf (B))B 1 2 ||| 2 ||| A2X + tAXB + XB2 ||| and (2 + t) ||| f (A)X + Xf (B) |||
Mandeep Singh, H. Vasudeva
semanticscholar +1 more source
Majorization inequalities related to increasing convex functions in a semifinite von Neumann algebra
, 2008 Let μs(x) denote the generalized s -number of an operator x . We show a mojorization inequality ∫ t 0 μs(f (a+b)) ds ∫ t 0 μs(f (a)+ f (b))ds for every increasing convex function with f (0) = 0 and positive τ -measurable operators a , b affiliated with a
Tetsuo Harada
semanticscholar +1 more source
M-matrices satisfy Newton's inequalities
, 2005 Newton's inequalities $c_n^2 \ge c_{n-1}c_{n+1}$ are shown to hold for the normalized coefficients $c_n$ of the characteristic polynomial of any $M$- or inverse $M$-matrix.
Holtz, Olga
core +1 more source
Impact of the Tranexamic Acid on Bleeding Amount of Surgical Patient With Degenerative Spinal Disease: A Randomized Blinded Study. [PDF]
Front Surg, 2021 Yan L +6 more
europepmc +1 more source
Crosstalk between Long Non-Coding RNA and Spliceosomal microRNA as a Novel Biomarker for Cancer. [PDF]
Noncoding RNA, 2023 Arafat M, Sperling R.
europepmc +1 more source
Streptococcus pneumoniae Serotypes Associated with Death, South Africa, 2012-2018. [PDF]
Emerg Infect Dis, 2022 Müller A +7 more
europepmc +1 more source
Improved Young and Heinz inequalities with the Kantorovich constant
, 2015 In this article, we study the further refinements and reverses of the Young and Heinz inequalities with the Kantorovich constant. These modified inequalities are used to establish corresponding operator inequalities on Hilbert space and Hilbert-Schmidt ...
Liao, Wenshi, Wu, Junliang
core
A generalization and an application of the arithmetic-geometric mean inequality for the Frobenius norm. [PDF]
J Inequal Appl, 2018 Wu X.
europepmc +1 more source