Minimum trace norm of real symmetric and Hermitian matrices with zero diagonal
Special MatricesWe establish tight lower bounds for the trace norm (‖⋅‖1)\left(\Vert \cdot {\Vert }_{1}) of real symmetric and Hermitian matrices with zero diagonal entries in terms of their entrywise L1{L}^{1}-norms (‖⋅‖(1))\left(\Vert \cdot {\Vert }_{\left(1)}).
Einollahzadeh Mostafa +1 more
doaj +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
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
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
On the condition numbers of a multiple generalized eigenvalue
, 2010 For standard eigenvalue problems, a closed-form expression for the condition numbers of a multiple eigenvalue is known. In particular, they are uniformly 1 in the Hermitian case, and generally take different values in the non-Hermitian case.
Nakatsukasa, Yuji
core
Streptococcus pneumoniae Serotypes Associated with Death, South Africa, 2012-2018. [PDF]
Emerg Infect Dis, 2022 Müller A +7 more
europepmc +1 more source
On the maximum of the permanent of (I-A)
, 2017 Let A be an n by n doubly substochastic matrix and denote {\sigma}(A) the sum of all elements of A. In this paper we give the upper bound of the permanent of (I-A) with respect to n and {\sigma}(A)
Cao, Lei, Chen, Zhi
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
Some results of Heron mean and Young's inequalities. [PDF]
J Inequal Appl, 2018 Yang C, Ren Y.
europepmc +1 more source