Rank-two Euler systems for symmetric squares
نویسندگان
چکیده
منابع مشابه
Rank based Least-squares Independent Component Analysis
In this paper, we propose a nonparametric rank-based alternative to the least-squares independent component analysis algorithm developed. The basic idea is to estimate the squared-loss mutual information, which used as the objective function of the algorithm, based on its copula density version. Therefore, no marginal densities have to be estimated. We provide empirical evaluation of th...
متن کاملSymmetric Identities for Euler Polynomials
In this paper we establish two symmetric identities on sums of products of Euler polynomials.
متن کاملComputing symmetric rank for symmetric tensors
We consider the problem of determining the symmetric tensor rank for symmetric tensors with an algebraic geometry approach. We give algorithms for computing the symmetric rank for 2 × · · · × 2 tensors and for tensors of small border rank. From a geometric point of view, we describe the symmetric rank strata for some secant varieties of Veronese varieties.
متن کاملSymmetric Planar Central Configurations of Five Bodies: Euler plus Two
We study planar central configurations of the five-body problem where three of the bodies are collinear, forming an Euler central configuration of the three-body problem, and the two other bodies together with the collinear configuration are in the same plane. The problem considered here assumes certain symmetries. From the three bodies in the collinear configuration, the two bodies at the extr...
متن کاملA Decomposition Method for Weighted Least Squares Low-rank Approximation of Symmetric Matrices
Least squares approximation of a symmetric matrix C by a symmetric positive definite matrix Ĉ of rank at most p is a classical problem. It is typically solved by computing an eigen-decomposition of C and by truncating the eigen-decomposition by only using the eigenvectors and associated with the min(p, q) largest positive eigenvalues of C. Here q is the number of positive eigenvalues. Thus if q...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2019
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/7860