Results 61 to 70 of about 2,226,866 (302)

Transport and spectral features in non-Hermitian open systems

Physical Review Research, 2021
We study the transport and spectral properties of a non-Hermitian one-dimensional disordered lattice, the diagonal matrix elements of which are random complex variables taking both positive (loss) and negative (gain) imaginary values: Their distribution ...
A. F. Tzortzakakis, K. G. Makris, A. Szameit, E. N. Economou   +3 more
doaj   +1 more source

$1/N^2$ correction to free energy in hermitian two-matrix model

, 2004
Using the loop equations we find an explicit expression for genus 1 correction in hermitian two-matrix model in terms of holomorphic objects associated to spectral curve arising in large N limit.
A. Kitaev, A. Kokotov, A. Kokotov, A. Kokotov, B. Dubrovin, B. Eynard, D. Korotkin, G. Knizhnik V., H. Sonoda, M. Bertola, V. Kazakov   +10 more
core   +1 more source

Lower bounds for the spread of a Hermitian matrix

Linear Algebra and its Applications, 1997
The authors present new lower bounds for the spread of a Hermitian matrix in terms of its entries. The results include a bound which is sharper than a recent result due to \textit{E. R. Barnes} and \textit{A. J. Hoffman} [Linear Algebra Appl. 201, 79-90 (1994; Zbl 0803.15016)] in spite of the fact that the latter bound is attained.
Xingzhi Zhan, Erxiong Jiang
openaire   +3 more sources

PT symmetry and large-N models

, 2008
Recently developed methods for PT-symmetric models can be applied to quantum-mechanical matrix and vector models. In matrix models, the calculation of all singlet wave functions can be reduced to the solution a one-dimensional PT-symmetric model.
Bender C M, Meisinger P N Ogilvie M C, Meisinger P N Ogilvie M C, Michael C Ogilvie, Peter N Meisinger   +4 more
core   +1 more source

Off-diagonal submatrices of a Hermitian matrix [PDF]

Proceedings of the American Mathematical Society, 2004
A necessary and sufficient condition is given to a p × q p\times q complex matrix X X to be an off-diagonal block of an n × n n\times n Hermitian matrix C C with prescribed eigenvalues (in terms of the eigenvalues of C C
Chi-Kwong Li, Yiu-Tung Poon
openaire   +2 more sources

Computing a logarithm of a unitary matrix with general spectrum

, 2013
We analyze an algorithm for computing a skew-Hermitian logarithm of a unitary matrix. This algorithm is very easy to implement using standard software and it works well even for unitary matrices with no spectral conditions assumed. Certain examples, with
Anderson, Bunse-Gerstner, Davidson, Davies, Fulga, Fulga, Hastings, Hastings, Henrici, Higham, Katan, Lindner, Loring, Loring, Moler, Teo, Wimmer   +16 more
core   +1 more source

Boundary value problems for the quaternionic Hermitian system in R-4n [PDF]

, 2012
In this paper boundary value problems for quaternionic Hermitian monogenic functions are presented using a circulant matrix ...
Abreu-Blaya, Ricardo, Bory-Reyes, Juan, Brackx, Fred, De Schepper, Hennie, Sommen, Franciscus   +4 more
core   +3 more sources

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   +2 more sources

Complex outliers of Hermitian random matrices

, 2016
In this paper, we study the asymptotic behavior of the outliers of the sum a Hermitian random matrix and a finite rank matrix which is not necessarily Hermitian.
Rochet, Jean
core   +1 more source

Solutions of a constrained Hermitian matrix-valued function optimization problem with applications

, 2016
. Let f(X) = (XC + D )M(XC + D) − G be a given nonlinear Hermitian matrix-valued function with M = M∗ and G = G∗, and assume that the variable matrix X satisfies the consistent linear matrix equation XA = B.
Yongge Tian
semanticscholar   +1 more source