Results 111 to 120 of about 138,468 (211)

Hermitian Matrix Diagonalization and Its Symmetry Properties

Advances in High Energy Physics
A Hermitian matrix can be parametrized by a set consisting of its determinant and the eigenvalues of its submatrices. We established a group of equations which connect these variables with the mixing parameters of diagonalization.
S. H. Chiu, T. K. Kuo
doaj   +1 more source

Higher order constraints for the ( $$\beta $$ β -deformed) Hermitian matrix models

European Physical Journal C: Particles and Fields
We construct the ( $$\beta $$ β -deformed) higher order total derivative operators and analyze their remarkable properties. In terms of these operators, we derive the higher order constraints for the ( $$\beta $$ β -deformed) Hermitian matrix models.
Rui Wang
doaj   +1 more source

Refinements of Kantorovich Inequality for Hermitian Matrices

Journal of Applied Mathematics, 2012
Some new Kantorovich-type inequalities for Hermitian matrix are proposed in this paper. We consider what happens to these inequalities when the positive definite matrix is allowed to be invertible and provides refinements of the classical results.
Feixiang Chen
doaj   +1 more source

Some partitions of a Hermitian matrix

Linear Algebra and its Applications, 1975
AbstractThis paper gives explicit values for the number of ways a Hermitian matrix B may be partitioned into various sums over a finite field. For example, B = X∗2X∗1AY∗1Y∗2 + Y2Y1A∗X1X2.
openaire   +1 more source

A stronger version of matrix convexity as applied to functions of Hermitian matrices

Journal of Inequalities and Applications, 1999
A stronger version of matrix convexity, called hyperconvexity is introduced. It is shown that the function is hyperconvex on the set of Hermitian matrices and is hyperconvex on the set of positive definite Hermitian matrices. The new concept makes it
Kagan Abram, Smith Paul J
doaj  

Rigorous Asymptotic Perturbation Bounds for Hermitian Matrix Eigendecompositions

Computation
In this paper, we present rigorous asymptotic componentwise perturbation bounds for regular Hermitian indefinite matrix eigendecompositions, obtained via the method of splitting operators.
Mihail Konstantinov, Petko Hristov Petkov   +1 more
doaj   +1 more source

Characterization of Hermitian and skew-Hermitian maps between matrix algebras

Linear Algebra and its Applications, 1975
AbstractLet D be a division ring with an involution J such that D is finite-dimensional over its center Z and char D≠2. Let T:Mm(D)→Mn(D) be a Z-linear map between matrix rings over D. We show that T satisfies [T(X)]∗=T(X∗) if and only if T(X)=∑±A∗kXAk. Similarly, T satisfies [T(X)]∗ = − T(X∗) if and only if T(X = ∑(A∗kXBk − B∗kXAk). The first of these
openaire   +2 more sources

Minimum trace norm of real symmetric and Hermitian matrices with zero diagonal

Special Matrices
We establish tight lower bounds for the trace norm (‖⋅‖1)\left(\Vert \cdot {\Vert }_{1}) of real symmetric and Hermitian matrices with zero diagonal entries in terms of their entrywise L1{L}^{1}-norms (‖⋅‖(1))\left(\Vert \cdot {\Vert }_{\left(1)}).
Einollahzadeh Mostafa, Nematollahi Mohammad Ali   +1 more
doaj   +1 more source

Sensitivity Evaluation for Global Perturbations in Non-Hermitian Skin-Effect Sensors. [PDF]

Nanophotonics
Yu L, Soci C, Chong YD, Zhang B.
europepmc   +1 more source

Non-Hermitian quantum state discrimination and information flow. [PDF]

Sci Rep
Dong Q, Liu Z, Zheng C.
europepmc   +1 more source