Results 31 to 40 of about 2,154 (143)
Corrigendum to “Spectra universally realizable by doubly stochastic matrices”
Special Matrices, 2023 We correct an error in the statement and the proof of Theorem 2.1 and Corollary 2.1 in our previous study [Spec. Matrices 6 (2018), 301–309], Section 2: On nonnegative matrices similar to positive matrices.
Collao Macarena +2 more
doaj +1 more source
, 2020 An inequality for matrices that interpolates between the Cauchy-Schwarz and the arithmetic-geometric mean inequalities for unitarily invariant norms has been obtained by Audenaert. Alakhrass obtained a related result to Audenaert’s inequality using a log-
M. Al-khlyleh, Fadi Alrimawi
semanticscholar +1 more source
The nonexistence of rank 4 IP tensors in signature (1, 3)
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 5, Page 259-269, 2002., 2002 Let V be a real vector space of dimension 4 with a nondegenerate symmetric bilinear form of signature (1, 3). We show that there exists no algebraic curvature tensor R on V so that its associated skew‐symmetric operator R(⋅) has rank 4 and constant eigenvalues on the Grassmannian of nondegenerate 2‐planes in V.
Kelly Jeanne Pearson, Tan Zhang
wiley +1 more source
Special Matrices, 2021 Given a real number a ≥ 1, let Kn(a) be the set of all n × n unit lower triangular matrices with each element in the interval [−a, a]. Denoting by λn(·) the smallest eigenvalue of a given matrix, let cn(a) = min {λ n(YYT) : Y ∈ Kn(a)}.
Altınışık Ercan
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 5, Page 251-284, 2001., 2001 The systematic analysis of convergence conditions, used in comparison theorems proven for different matrix splittings, is presented. The central idea of this analysis is the scheme of condition implications derived from the properties of regular splittings of a monotone matrix A = M1 − N1 = M2 − N2.
Zbigniew I. Woźnicki
wiley +1 more source
Exponential type locally generalized strictly double diagonally tensors and eigenvalue localization
, 2020 In this paper, we introduce exponential type locally generalized strictly double diagonally dominant tensors. This concept extends the concept of strictly diagonally dominant tensors.
J. Liu, L. Xiong
semanticscholar +1 more source
Fixed points of rotations of n‐sphere
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 221-222, 1999., 1999 We show that every rotation of an even‐dimensional sphere must have a fixed point.
Nagabhushana Prabhu
wiley +1 more source
An Explicit Formula for the Matrix Logarithm
, 2004 We present an explicit polynomial formula for evaluating the principal logarithm of all matrices lying on the line segment $\{I(1-t)+At:t\in [0,1]\}$ joining the identity matrix $I$ (at $t=0$) to any real matrix $A$ (at $t=1$) having no eigenvalues on ...
Cardoso, Joao R.
core +2 more sources
The distance signatures of the incidence graphs of affine resolvable designs
, 2016 In this note, we determined the distance signatures of the incidence matrices of affine resolvable designs.
Ma, Jianmin
core +1 more source
, 2014 In this paper, we establish some important properties of M-tensors. We derive upper and lower bounds for the minimum eigenvalue of M-tensors, bounds for eigenvalues of M-tensors except the minimum eigenvalue are also presented; finally, we give the Ky ...
Jun He, Tingzhu Huang
semanticscholar +1 more source