Results 251 to 260 of about 2,226,866 (302)

Discovery of a non-Hermitian phase transition in a bulk condensed-matter system

open access: yes
Fiebig M   +7 more
europepmc   +1 more source

Non‐Hermitian perturbations of Hermitian matrix‐sequences and applications to the spectral analysis of the numerical approximation of partial differential equations

Numerical Linear Algebra with Applications, 2020
This article concerns the spectral analysis of matrix‐sequences which can be written as a non‐Hermitian perturbation of a given Hermitian matrix‐sequence. The main result reads as follows. Suppose that for every n there is a Hermitian matrix Xn of size n
Giovanni Barbarino, S. Capizzano
semanticscholar   +1 more source

Matrix pencils with coefficients that have positive semidefinite Hermitian part

SIAM Journal on Matrix Analysis and Applications, 2021
We analyze when an arbitrary matrix pencil is equivalent to a dissipative Hamiltonian pencil and show that this heavily restricts the spectral properties.
C. Mehl, V. Mehrmann, M. Wojtylak
semanticscholar   +1 more source

Thermodynamic relations of the Hermitian matrix ensembles [PDF]

open access: possibleJournal of Physics A: Mathematical and General, 1997
Summary: Applying the Coulomb fluid approach to the Hermitian random matrix ensembles, universal derivatives of the free energy for a system of \(N\) logarithmically repelling classical particles under the influence of an external confining potential are derived.
Yang Chen, Mourad E. H. Ismail
openaire   +2 more sources

Principal Submatrices of a Hermitian Matrix [PDF]

open access: possibleLinear and Multilinear Algebra, 2003
Suppose k 1 ,
Chi-Kwong Li, Yiu-Tung Poon
openaire   +1 more source

Nilpotent matrix and Hermitian matrix

International Journal for Sciences and Technology
Nilpotent and Hermitian matrices are two important classes of matrices with distinct properties. A nilpotent matrix is a square matrix that, when raised to some power, becomes the zero matrix.
M. Vinothkumar Muniyandi
semanticscholar   +1 more source

Densities in Hermitian Matrix Models

, 2013
Orthogonal polynomials are traditionally studied as special functions in mathematical theories such as in the Hilbert space theory, differential equations and asymptotics. In this chapter, a new purpose of the generalized Hermite polynomials will be discussed in detail.
C. B. Wang
semanticscholar   +3 more sources

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