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...
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 ...
Generalized eigenvalues of a definite hermitian matrix pair - ScienceDirect In this note, we study some basic properties of generalized eigenvalues of a definite Hermitian matrix pair. In particular, we prove an interlacing theorem... CK Li,Roy Mathias * - 《Linear Algebra & Its Applications》 ...
Some remarks on Hermitian and anti-Hermitian properties of Green's matrices We are here concerned with certain two-point boundary value problems with functions of bounded variation as solutions. Necessary and sufficient conditions ... JSW Wong - 《Siam Journal on Applied Mathematics》 被引量: 7...
Spectral properties of polynomials in independent Wigner and deterministic matrices On the one hand, we prove that almost surely, for large dimension, there is no eigenvalue of a Hermitian polynomial in independent Wigner and deterministic... S Belinschi,M Capitaine - 《Journal of Functional Analys...
aremathematicallyandstatisticallyinteresting.Keywords.Betaintegrals;gammaintegrals;complexmatrix-variatebetarandomvariables;type-2Dirichletmodel.1.IntroductionThispaperdealswithprobabilitydensitiesonthespaceofmatrices.Allthematricesappearinginthisarticlearep×phermitianpositivedefiniteunlessspecifiedotherwise.X,Y,......
They also include, as special cases, the well-known conditions for the existence of H/sup -/spl infin//-filters and controllers. Given two Hermitian matrices {/spl Pi/, W}, a column vector y, and an arbitrary matrix A of appropriate dimensions, we study the relation between two ...
A is an element of C-nxn is called anti-Hermitian R-symmetric... GX Huang,F Yin - APPLIED MATHEMATICS AND COMPUTATION -ELSEVIER- 被引量: 0发表: 2007年 Mirror-Symmetric matrices and their application The well-known centrosymmetric matrices correctly reflect mirror-symmetry with no component or...
We define in the space of n x m matrices of rank n, n <= m, the condition Riemannian structure as follows: For a given matrix A the tangent space at A is equipped with the Hermitian inner product obtained by multiplying the usual Frobenius inner product by the inverse of the square of...
We develop a general framework for the study of strong Morita equivalence in which $C^*$-algebras and hermitian star products on Poisson manifolds are trea... H Bursztyn,S Waldmann - 《Pacific Journal of Mathematics》 被引量: 64发表: 2005年 Inaccessible groups and protrees Some examples of ...