Hermitian matrixIn this paper, the properties of strong Hermitian matrix are discussed on the basis of the conception of strong Hermitian matrix, and some new results about strong Hermitian matrix are obtained.Xuan LiuInternational conference of matrices and operators...
Matrices are used mainly for representing a linear transformation from a vector field to itself. Know about the definition of matrices, properties, types, and matrices formulas here and download the Matrices PDF for free.
Hermitian matrices have the following nice property. Proposition Let be a matrix. If is Hermitian, then all its eigenvalues are real (i.e., their complex parts are zero). ProofAll the eigenvalues of a symmetric real matrix are realIf a real matrix is symmetric (i.e., ), then it is ...
An additional condition is presented to complete the set of known conditions, namely, the four conditions obtained from the nonnegativity of the eigenvalues of the Hermitian matrix H associated with a Mueller matrix M and the transmittance condition. Using the properties of H, a demonstration is ...
This paper is concerned with a survey of the spectral properties of finite Hermitian Toeplitz matrices. It contains in particular a detailed analysis of the algebraic structure of the Toeplitz eignespaces and of the zero location properties of their related eignepolynomials. The theory of pseudo-Car...
Within the three-neutrino paradigm, all the neutrino EM properties are Hermitian matrices. In the Standard Model (SM) of particle physics, the tree-level coupling between neutrino and photon is zero [4] while the loop-induced electromagnetic couplings are highly suppressed. While the neu- trino ...
cesarehermitianpositivedefinite,areworkedoutalongwithsomepropertieswhichare mathematicallyandstatisticallyinteresting. Keywords.Betaintegrals;gammaintegrals;complexmatrix-variatebetarandom variables;type-2Dirichletmodel. 1.Introduction Thispaperdealswithprobabilitydensitiesonthespaceofmatrices.Allthematrices appearinginthi...
Letbe two Hermitian matrices. We propose new perturbation bounds on the differences between the eigenvalues of and by the bounds of the eigenvector compone... GH Cheng,Q Tan,ZD Wang - 《Linear & Multilinear Algebra》 被引量: 2发表: 2015年 A Note on Estimates of Diagonal Elements of the ...
Matrices with multiple symmetry properties: applications of centrohermitian and perhermitian matrices Twelve known symmetry patterns of matrices are combined with three modest patterns to form a steiner triple system. We investigate matrices satisfying more... IS Pressman - 《Linear Algebra & Its ...
where \(\alpha = -\hat{\gamma }^0\) and \(\Psi ^\dagger \) the Hermitian conjugate of \(\Psi \). Also, the spinor covariant derivative \(\hat{D}_\nu \) is defined as $$\begin{aligned} \hat{D}_\nu = \partial _\nu - \Gamma _\nu , \end{aligned}$$ (A.11) ...