Results 231 to 240 of about 2,287,877 (286)

Observing half-integer topological winding numbers in non-Hermitian synthetic lattices. [PDF]

open access: yesLight Sci Appl
Yang M   +9 more
europepmc   +1 more source

Nilpotent matrix and Hermitian matrix

International Journal on Science 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   +2 more sources

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

TACHYONIC HERMITIAN ONE-MATRIX MODELS

Modern Physics Letters A, 1991
We treat the hermitian one-matrix model in the case where the quadratic term of the matrix potential has a negative coefficient (negative mass). In that case two scaling functions are necessary in the continuum limit. We analyze the problem both in the spherical and the double scaling limits.
Mathieu, Pierre, Sénéchal, David
openaire   +2 more sources

CLASSIFICATION OF CRITICAL HERMITIAN MATRIX MODELS

Modern Physics Letters A, 1991
The critical properties of Hermitian matrix models in the one-arc phase may be simply understood and completely classified by the behavior of the eigenvalue distribution at its ends. The most general critical behavior involves two scaling functions naturally associated with each end of the distribution, and two KdV-type string equations with differing
Dalley, Simon   +2 more
openaire   +2 more sources

On Scaled Almost-Diagonal Hermitian Matrix Pairs

SIAM Journal on Matrix Analysis and Applications, 1997
This paper contains estimates concerning the block structure of Hermitian matrices H and M, which make a scaled diagonally dominant definite pair. The obtained bounds are expressed in terms of relative gaps in the spectrum of the pair (H, M) and norms of certain blocks of the matrices DHD and DMD, where D is the square root of the inverse of the ...
Drmač, Zlatko, Hari, Vjeran
openaire   +3 more sources

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   +2 more sources

HERMITIANS IN MATRIX ALGEBRAS WITH OPERATOR NORM

Glasgow Mathematical Journal, 2020
AbstractWe investigate the real space H of Hermitian matrices in $M_n(\mathbb{C})$ with respect to norms on $\mathbb{C}^n$ . For absolute norms, the general form of Hermitian matrices was essentially established by Schneider and Turner [Schneider and Turner, Linear and Multilinear Algebra (1973), 9–31]. Here, we offer a much shorter proof.
Crabb, Michael J.   +2 more
openaire   +2 more sources

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