Results 51 to 60 of about 2,186 (142)
On $k$-circulant matrices involving the Fibonacci numbers
, 2018 Let k be a nonzero complex number. In this paper we consider a k-circulant matrix whose first row is .F1;F2; : : : ;Fn/, where Fn is the nth Fibonacci number, and investigate the eigenvalues and Euclidean (or Frobenius) norm of that matrix.
Biljana Radičić
semanticscholar +1 more source
On the minimum spectral radius of connected graphs of given order and size
Special MatricesIn this article, we study a question of Hong from 1993 related to the minimum spectral radii of the adjacency matrices of connected graphs of given order and size.
Cioaba Sebastian M. +2 more
doaj +1 more source
Some inequalities on the skew-spectral radii of oriented graphs
, 2012 Let G be a simple graph and Gσ be an oriented graph obtained from G by assigning a direction to each edge of G. The adjacency matrix of G is A(G) and the skew-adjacency matrix of Gσ is S(Gσ).
Guang-Hui Xu
semanticscholar +1 more source
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
How to determine the eigenvalues of g-circulant matrices
, 2018 For a given nonnegative integer g, a matrix Cn,g of size n is called g -circulant if Cn,g = [a(r−gs)modn]n−1 r,s=0 . Such matrices arise in wavelet analysis, subdivision algorithms, and more generally when dealing with multigrid/multilevel methods for ...
Eric Ngondiep
semanticscholar +1 more source
Inequalities for certain powers of positive definite matrices
Mathematical Inequalities & Applications, 2019 Let A,B, and X be n× n matrices such that A,B are positive definite and X is Hermitian. If a and b are real numbers such that 0 < a sn (A) and 0 < b sn (B) , then it is shown, among other inequalities, that ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣AX +XBa ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ (1 ...
Fadi Alrimawi +2 more
semanticscholar +1 more source
Changes in signature induced by the Lyapunov mapping LA : X → AX + XAA±
, 1989 International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 3, Page 503-506, 1989.
Tyler Haynes
wiley +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
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Inequalities for certain powers of several positive definite matrices
Mathematical Inequalities & Applications, 2019 Let Ai, i = 1, ...,m, and X be n×n matrices such that each Ai is positive definite with 0 < ai sn (Ai) and X is Hermitian. Then it is shown that ∣∣∣∣ ∣∣∣∣ ∣∣∣∣ ( m ∑ i=1 A am+1−i i ) X +X ( m ∑ i=1 Ai m+1−i ∣∣∣∣ ∣∣∣∣ ∣∣∣∣ m(1+ l2) |||X ||| , for every ...
Fadi Alrimawi
semanticscholar +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
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