Zobrazeno 1 - 10
of 186
pro vyhledávání: '"Sommese, Andrew J."'
Autor:
Hong, Hoon, Sommese, Andrew J.
We study the number of real critical points of a cyclotomic polynomial $\Phi_{n}(x)$, that is, the real roots of $\Phi_{n}^{\prime}(x)$. As usual, one can, without losing generality, restrict $n$ to be the product of distinct odd primes, say $p_{1}<\
Externí odkaz:
http://arxiv.org/abs/1912.12253
Autor:
Brake, Danielle A., Hauenstein, Jonathan D., Schreyer, Frank-Olaf, Sommese, Andrew J., Stillman, Michael E.
Singular value decompositions of matrices are widely used in numerical linear algebra with many applications. In this paper, we extend the notion of singular value decompositions to finite complexes of real vector spaces. We provide two methods to co
Externí odkaz:
http://arxiv.org/abs/1804.09838
Publikováno v:
J. Phys. A: Math. Theor. 48 (2015) 494003
We consider the sl(2)_q-invariant open spin-1/2 XXZ quantum spin chain of finite length N. For the case that q is a root of unity, we propose a formula for the number of admissible solutions of the Bethe ansatz equations in terms of dimensions of irr
Externí odkaz:
http://arxiv.org/abs/1505.02104
Let T be a general complex tensor of format $(n_1,...,n_d)$. When the fraction $\prod_in_i/[1+\sum_i(n_i-1)]$ is an integer, and a natural inequality (called balancedness) is satisfied, it is expected that T has finitely many minimal decomposition as
Externí odkaz:
http://arxiv.org/abs/1501.00090
We investigate the completeness of the solutions of the Bethe equations for the integrable spin-s isotropic (XXX) spin chain with periodic boundary conditions. Solutions containing the exact string i s, i (s-1), ..., -i(s-1), -is are singular. For s>
Externí odkaz:
http://arxiv.org/abs/1312.2982
Publikováno v:
Phys. Rev. E 88, 052113 (2013)
We consider the Bethe equations for the isotropic spin-1/2 Heisenberg quantum spin chain with periodic boundary conditions. We formulate a conjecture for the number of solutions with pairwise distinct roots of these equations, in terms of numbers of
Externí odkaz:
http://arxiv.org/abs/1308.4645
Homotopy continuation provides a numerical tool for computing the equivalence of a smooth variety in an intersection product. Intersection theory provides a theoretical tool for relating the equivalence of a smooth variety in an intersection product
Externí odkaz:
http://arxiv.org/abs/0909.2111
A path tracking algorithm that adaptively adjusts precision is presented. By adjusting the level of precision in accordance with the numerical conditioning of the path, the algorithm achieves high reliability with less computational cost than would b
Externí odkaz:
http://arxiv.org/abs/math/0605105
By a numerical continuation method called a diagonal homotopy we can compute the intersection of two positive dimensional solution sets of polynomial systems. This paper proposes to use this diagonal homotopy as the key step in a procedure to interse
Externí odkaz:
http://arxiv.org/abs/math/0503688