Results 71 to 80 of about 480 (138)
New proofs and extensions of Sylvester’s and Johnson’s inertia theorems to non-Hermitian matrices
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
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
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
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]
Zhang X +4 more
europepmc +1 more source
Solution to the General Inner-Outer and Spectral Factorization Problems
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.
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
. 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
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
Gradual transitivity in orthogonality spaces of finite rank. [PDF]
Vetterlein T.
europepmc +1 more source

