Results 21 to 30 of about 201 (34)

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

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

Existence of a Not Necessarily Symmetric Matrix with Given Distinct Eigenvalues and Graph

, 2016
For given k distinct complex conjugate pairs, l distinct real numbers, and a given graph G on 2k+l vertices with a matching of size at least k, we will show that there is a real matrix whose eigenvalues are the given numbers and its graph is G.
Monfared, Keivan Hassani
core   +1 more source

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

Hermitian symmetric polynomials and CR complexity

, 2010
Properties of Hermitian forms are used to investigate several natural questions from CR Geometry. To each Hermitian symmetric polynomial we assign a Hermitian form.
D. Catlin, E. Marques de Sá, F. Forstneric, F. Meylan, J. D’Angelo, J. D’Angelo, J. D’Angelo, J. D’Angelo, J. D’Angelo, J. D’Angelo, J. D’Angelo, J. Faran, J. Faran, Jiří Lebl, John P. D’Angelo, M.S. Baouendi, P. Ebenfelt, X. Huang, X. Huang, X. Huang   +19 more
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  

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

Peripheral Blood Genetic Biomarkers for the Early Diagnosis of Hepatocellular Carcinoma. [PDF]

Front Oncol, 2021
Song T, Li L, Wu S, Liu Y, Guo C, Wang W, Dai L, Zhang T, Wu H, Su B.   +9 more
europepmc   +1 more source