Results 71 to 80 of about 480 (138)

New proofs and extensions of Sylvester’s and Johnson’s inertia theorems to non-Hermitian matrices

open access: yes, 2011
We present a new proof and extension of the classical Sylvester Inertia Theorem to a pair of non-Hermitian matrices which satisfies the property that any real linear combination of the pair has only real eigenvalues.
Anton Zettl, Man Kwong
core   +1 more source

Non-Hermitian random matrices and the Calogero-Sutherland model

open access: yes, 2012
The statistical properties of the eigenvalues of non-Hermitian systems were studied. It was found that the distribution of the eigenvalue is governed by a diffusion equation in which system dependence enters only through the evolution parameter ∧ ∝ Y ...
Colet, Pere   +3 more
core   +1 more source

Effective theories of finite volume QCD

open access: yes, 2008
Finite volume QCD close to the chiral limit cannot be described by chiral Perturbation Theory using the usual p-expansion when the correlation length of pions becomes larger than the size of the box.
BASILE, FRANCESCO
core  

Asymptotic Linear Spectral Statistics for Spiked Hermitian Random Matrices

open access: yes, 2015
Using the Coulomb Fluid method, this paper derives central limit theorems (CLTs) for linear spectral statistics of three “spiked” Hermitian random matrix ensembles.
Passemier, Damien   +2 more
core   +1 more source

MagNet: A Neural Network for Directed Graphs. [PDF]

open access: yesAdv Neural Inf Process Syst, 2021
Zhang X   +4 more
europepmc   +1 more source

Solution to the General Inner-Outer and Spectral Factorization Problems

open access: yes, 1998
In this paper we solve two open problems in linear system theory: the computation of the spectral and inner-outer factorizations of a rational matrix G in the most general setting.
Varga, A., Oara, C.
core  

Hermitian matrices depending on three parameters: Coalescing eigenvalues.

open access: yes, 2012
We consider Hermitian matrix valued functions depending on three parameters that vary in a bounded surface of $\R^3$ . We study how to detect when such functions have coalescing eigenvalues inside this surface.
Dieci L   +2 more
core   +1 more source

Generalized finite algorithms for constructing Hermitian matrices with prescribed diagonal and spectrum

open access: yes, 2003
. In this paper, we present new algorithms that can replace the diagonal entries of a Hermitian matrix by any set of diagonal entries that majorize the original set without altering the eigenvalues of the matrix.
Inderjit S. Dhillon   +4 more
core  

Two-Grid Methods for Hermitian positive definite linear systems connected with an order relation

open access: yes, 2014
Given a multigrid procedure for linear systems with coefficient matrices we discuss the optimality of a related multigrid procedure with the same smoother and the same projector, when applied to properly related algebraic problems with coefficient ...
Tablino Possio, C.   +1 more
core   +1 more source

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