Results 21 to 30 of about 219 (51)

Patterns with several multiple eigenvalues

Special Matrices, 2014
Identified are certain special periodic diagonal matrices that have a predictable number of pairedeigenvalues. Since certain symmetric Toeplitz matrices are special cases, those that have several multiple 5eigenvalues are also investigated further.
Dorsey J., Johnson C.R., Wei Z.
doaj   +1 more source

Linear preservers and quantum information science

, 2012
Let $m,n\ge 2$ be positive integers, $M_m$ the set of $m\times m$ complex matrices and $M_n$ the set of $n\times n$ complex matrices. Regard $M_{mn}$ as the tensor space $M_m\otimes M_n$. Suppose $|\cdot|$ is the Ky Fan $k$-norm with $1 \le k \le mn$, or
Fosner, Ajda, Huang, Zejun, Li, Chi-Kwong, Sze, Nung-Sing   +3 more
core   +1 more source

Jordan triple product homomorphisms on Hermitian matrices to and from dimension one

, 2015
We characterise all Jordan triple product homomorphisms, that is, mappings $\Phi$ satisfying $$ \Phi(ABA) = \Phi(A)\Phi(B)\Phi(A) $$ from the set of all Hermitian $n \times n$ complex matrices to the field of complex numbers.
Bukovsek, Damjana Kokol, Mojskerc, Blaz
core   +1 more source

Explicit Evaluations of Matrix-variate Gamma and Beta Integrals in the Real and Complex Cases [PDF]

, 2014
Matrix transformations in terms of triangular matrices is the easiest method of evaluating matrix-variate gamma and beta integrals in the real and complex cases.
Mathai, A. M.
core  

Hermitian unitary matrices with modular permutation symmetry

, 2015
We study Hermitian unitary matrices $\mathcal{S}\in\mathbb{C}^{n,n}$ with the following property: There exist $r\geq0$ and $t>0$ such that the entries of $\mathcal{S}$ satisfy $|\mathcal{S}_{jj}|=r$ and $|\mathcal{S}_{jk}|=t$ for all $j,k=1,\ldots,n$, $j\
Anderson, Belevitch, Beth, Cheon, Cheon, Cheon, Diţă, Diţă, Diţă, Exner, Harrison, Horadam, Kostrykin, Kostrykin, Kuchment, Lam, Murnagham, Newton, Ondřej Turek, Raghavarao, Ruedenberg, Seberry, Taksu Cheon, Wallis   +23 more
core   +1 more source

On the Laplacian index of tadpole graphs

Special Matrices
In this article, we study the Laplacian index of tadpole graphs, which are unicyclic graphs formed by adding an edge between a cycle Ck{C}_{k} and a path Pn{P}_{n}.
Braga Rodrigo O., Veloso Bruno S.
doaj   +1 more source

Geometric approaches to matrix normalization and graph balancing

Forum of Mathematics, Sigma
Normal matrices, or matrices which commute with their adjoints, are of fundamental importance in pure and applied mathematics. In this paper, we study a natural functional on the space of square complex matrices whose global minimizers are normal ...
Tom Needham, Clayton Shonkwiler
doaj   +1 more source

Jordan triple product homomorphisms on Hermitian matrices of dimension two

, 2016
We characterise all Jordan triple product homomorphisms, that is, mappings $\Phi$ satisfying $$ \Phi(ABA) = \Phi(A)\Phi(B)\Phi(A) $$ on the set of all Hermitian $2 \times 2$ complex matrices.Comment: 34 ...
Bukovsek, Damjana Kokol, Mojskerc, Blaz
core   +1 more source

Rayleigh-Ritz majorization error bounds of the mixed type

, 2016
The absolute change in the Rayleigh quotient (RQ) for a Hermitian matrix with respect to vectors is bounded in terms of the norms of the residual vectors and the angle between vectors in [\doi{10.1137/120884468}]. We substitute multidimensional subspaces
Knyazev, Andrew, Zhu, Peizhen
core   +1 more source

Applications of analysis to the determination of the minimum number of distinct eigenvalues of a graph [PDF]

, 2018
We establish new bounds on the minimum number of distinct eigenvalues among real symmetric matrices with nonzero off-diagonal pattern described by the edges of a graph and apply these to determine the minimum number of distinct eigenvalues of several ...
Bjorkman, Beth, Hogben, Leslie, Hogben, Leslie, Ponce, Scarlitte, Reinhart, Carolyn, Tranel, Theodore   +5 more
core   +2 more sources