Results 71 to 80 of about 2,186 (142)
On sharpening of a Theorem of T. J. Rivlin
, 2018 Let p(z) = a0 +a1z+a2z +a3z + · · ·+anz be a polynomial of degree n . According to a well-known theorem of Rivlin [11], if p(z) is a polynomial of degree n having no zeros inside the unit circle, then for 0 < r 1, max |z|=r |p(z)| ( r +1 2 )n max |z|=1 ...
N. Govil, S. Hans
semanticscholar +1 more source
A convergence analysis of SOR iterative methods for linear systems with weak H-matrices
Open Mathematics, 2016 It is well known that SOR iterative methods are convergent for linear systems, whose coefficient matrices are strictly or irreducibly diagonally dominant matrices and strong H-matrices (whose comparison matrices are nonsingular M-matrices).
Zhang Cheng-yi +2 more
doaj +1 more source
Bound for the largest singular value of nonnegative rectangular tensors
Open Mathematics, 2016 In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math.
He Jun +4 more
doaj +1 more source
Two new eigenvalue localization sets for tensors and theirs applications
Open Mathematics, 2017 A new eigenvalue localization set for tensors is given and proved to be tighter than those presented by Qi (J. Symbolic Comput., 2005, 40, 1302-1324) and Li et al. (Numer. Linear Algebra Appl., 2014, 21, 39-50).
Zhao Jianxing, Sang Caili
doaj +1 more source
, 2013 In this note, we establish some connection between the nonnegative inverse eigenvalue problem and that of doubly stochastic one. More precisely, we prove that if $(r; {\lambda}_2, ..., {\lambda}_n)$ is the spectrum of an $n\times n$ nonnegative matrix A ...
Mourad, Bassam
core
Potential counter-examples to a conjecture on the column space of the adjacency matrix
Special MatricesAttempts to resolve the Akbari-Cameron-Khosrovshahi-conjecture have so far focused on the rank of a matrix. The conjecture claims that there exists a nonzero (0, 1)-vector in the row space of a (0, 1)-adjacency matrix A{\bf{A}} of a graph GG, that is not
Sciriha Irene +3 more
doaj +1 more source
M-matrix and inverse M-matrix extensions
Special Matrices, 2020 A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class bridges the properties of the matrices it generalizes and provides a
McDonald J.J. +6 more
doaj +1 more source
Some stable and closed-shell structures of anticancer drugs by graph theoretical parameters. [PDF]
Heliyon, 2023 Koam ANA +4 more
europepmc +1 more source
Explicit determinantal formula for a class of banded matrices
Open Mathematics, 2020 In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.
Amanbek Yerlan +5 more
doaj +1 more source