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On the energy of symmetric matrices and Coulson's integral formula
(Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas, 2016-07-01)
We dene the outer energy of a real symmetric matrix M for the eigenvalues λ1, …, λn of M and their arithmetic mean λ(M). We discuss the properties of the outer energy in contrast to the inner energy defined as Einn(M) = ...
Galoisian and numerical approach of three dimensional linear differential systems with skew symmetric matrices defined in a non- constant differential field
(Editorial board, 2018-01)
This work contrasts numerical methods with algebraic methods. These methods are applied
to solve a three dimensional linear differential system with skew symmetric matrices
defined in a non- constant differential field. ...
NUMERICAL UNIFORMIZATION OF HYPERELLIPTIC-M-SYMMETRIC RIEMANN SURFACES
(Universidad Católica del Norte, Departamento de Matemáticas, 2001)
Matrizes estocásticas aleatórias associadas a grupos de Lie clássicos e espaços simétricosRandom stochastic matrices from classical Lie groups and symmetric spaces
(Universidade Federal de UberlândiaBrasilPrograma de Pós-graduação em Física, 2020)
Exact S-matrices for anomaly-free non-linear sigma models on symmetric spaces
(1988-02-08)
The existence of a conserved quantum non-local charge is used to prove the factorization equations for the two-body S-matrix pertaining to the following five classical series of non-linear σ models on symmetric spaces: ...
Interior proximal bundle algorithm with variable metric for nonsmooth convex symmetric cone programming
(Taylor & Francis, 2016)
This paper is devoted to the study of a bundle proximal-type algorithm for solving the problem of minimizing a nonsmooth closed proper convex function subject to symmetric cone constraints, which include the positive orthant ...
Column symmetric polynomials
(Amiens, 2019-09)
Nous étudions l’algébre des polynômes en une m x n matrice de variables sur un anneau contenant les rationnels, sujette à la condition que le produit de deux variables appartenant à une même colonne est nul. Nous montrons ...
Self-adjoint operators on inner product spaces over fields of power series
(WALTER DE GRUYTER GMBH, 2008)
Theorems on orthogonal decompositions are a cornerstone in the classical theory of real (or complex) matrices and operators on R-n. In the paper we consider finite dimensional inner product spaces (E,Phi) over a field K = ...
INFERENCE FOR EIGENVALUES AND EIGENVECTORS OF GAUSSIAN SYMMETRIC MATRICES
(INST MATHEMATICAL STATISTICS, 2008)
This article presents maximum likelihood estimators (MLEs) and log-likelihood ratio (LLR) tests for the eigenvalues and eigenvectors of Gaussian random symmetric matrices of arbitrary dimension, where the observations are ...