Results 41 to 50 of about 2,374 (146)
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
A Geršgorin-type eigenvalue localization set with n parameters for stochastic matrices
Open Mathematics, 2018 A set in the complex plane which involves n parameters in [0, 1] is given to localize all eigenvalues different from 1 for stochastic matrices. As an application of this set, an upper bound for the moduli of the subdominant eigenvalues of a stochastic ...
Wang Xiaoxiao, Li Chaoqian, Li Yaotang
doaj +1 more source
Open Mathematics, 2016 Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem.
Zhao Jianxing, Sang Caili
doaj +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
On continuity of Guo Wuwen function
, 2014 We show that the functions g and gs introduced by Guo Wuwen in [4] are continuous and semialgebraic. We use this fact to prove that the set Nn of ordered n-tuples of real numbers, realizable by nonnegative matrices, is a closed ...
Ambroży, Z., Biborski, I.
core +1 more source
Bordering method to compute Core-EP inverse
Special Matrices, 2018 Following the work of Kentaro Nomakuchi[10] and Manjunatha Prasad et.al., [7] which relate various generalized inverses of a given matrix with suitable bordering,we describe the explicit bordering required to obtain core-EP inverse, core-EP generalized ...
Prasad K. Manjunatha, Raj M. David
doaj +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
More on the minimum skew-rank of graphs
, 2015 The minimum (maximum) skew-rank of a simple graph G over real field is the smallest (largest) possible rank among all skew-symmetric matrices over real field whose i j -th entry is nonzero whenever viv j is an edge in G and is zero otherwise.
Hui Qu, Guihai Yu, Linhua Feng
semanticscholar +1 more source