共查询到20条相似文献,搜索用时 62 毫秒
1.
本文关注具有non-pure分解的1次生成正分次代数,主要讨论作为bi-Koszul代数的推广的一类新的代数(s,t,d)-bi-Koszul代数.用两个具有pure分解的周期代数可以获得(s,t,d)-bi-Koszul代数.本文讨论了(s,t,d)-bi-Koszul代数的Koszul对偶的生成性,在此基础上,提出了强(s,t,d)-bi-Koszul代数的概念并且进一步讨论了它们的同调性质. 相似文献
2.
3.
Toroidal李代数上的Poisson代数结构 总被引:2,自引:0,他引:2
非交换的Poisson代数同时具有结合代数和李代数两种代数结构,而结合代数和李代数之间满足所谓的Leibniz法则.文中确定了Toroidal李代数上所有的Poisson代数结构,推广了仿射Kac-Moody代数上相应的结论. 相似文献
4.
如果半单Lie代数g和有限维遗传代数Λ对应于相同的Dynkin图,则有量子群U_q(g)的正部分U~+典范地同构于Hall代数H(Λ).一个自然的问题是:如何将U+中的根向量分解为Chevalley生成元的单项式的线性组合?Chen和Xiao给出的两种算法分别利用了Λ-模的例外序列上的辫子群作用以及Λ的Auslander-Reiten箭图的结构.对于To(e|¨)n定义的导出Hall代数,本文提出了类似的问题.并得到了相应的两种算法.这两种算法也同样适用于Kapranov定义的格代数和Heisenberg double.而且,所有新的递归公式都具有和量子Serre关系相似的形式. 相似文献
5.
本文给出了树型代数的拟遗传序数的精确上界以及单生成元的树型代数的拟遗传序数的精确下界及其算法 ,并由此得到一个新的组合公式 . 相似文献
6.
非交换的Poisson代数同时具有(未必交换的)结合代数和李代数两种代数结构,且结合代数和李代数之间满足所谓的Leibniz法则.本文确定了一般广义仿射李代数上所有的Poisson代数结构. 相似文献
7.
8.
9.
10.
《数学的实践与认识》2013,(18)
代数神经网络算法能够克服BP神经网络易于陷入局部极小和收敛慢的问题,通过优选激励函数和采用代数算法计算权值,将复杂的非线性优化问题转化为简单的代数方程组求解问题,提高了神经网络的精度与收敛速度.在使用代数神经网络算法进行煤自燃预测的实例中,采用均值规格化数据预处理,解决了煤自燃指标气体异动对分类结果的过度扰动.实验结果表明了算法的有效性和实用性. 相似文献
11.
采用组合的方法,对∑nk=0n+kknk(m-1)n-k=∑nk=0nk2mk这一等式提供了一种全新的证明.此外,还提供了一种完全不用微积分的代数证明. 相似文献
12.
Anders Barrlund 《BIT Numerical Mathematics》1995,35(1):1-18
Three approaches for solving ODEs with invariants or DAEs are the constrained least squares method, the coordinate projection method and the derivative projection method. The stability properties of these three methods are compared for linear ODEs with linear invariants. There exist examples where each of the three approaches is to prefer. 相似文献
13.
A convergence analysis of two‐grid methods based on coarsening by (unsmoothed) aggregation is presented. For diagonally dominant symmetric (M‐)matrices, it is shown that the analysis can be conducted locally; that is, the convergence factor can be bounded above by computing separately for each aggregate a parameter, which in some sense measures its quality. The procedure is purely algebraic and can be used to control a posteriori the quality of automatic coarsening algorithms. Assuming the aggregation pattern is sufficiently regular, it is further shown that the resulting bound is asymptotically sharp for a large class of elliptic boundary value problems, including problems with variable and discontinuous coefficients. In particular, the analysis of typical examples shows that the convergence rate is insensitive to discontinuities under some reasonable assumptions on the aggregation scheme. Copyright © 2010 John Wiley & Sons, Ltd. 相似文献
14.
Yuri R. Hakopian Arsen S. Harutyunyan 《Numerical Linear Algebra with Applications》2006,13(10):847-864
In this paper an approach to construct algebraic multilevel preconditioners for serendipity finite element matrices is presented. Two‐level preconditioners constructed in the paper allow to obtain multilevel preconditioners in serendipity case using multilevel preconditioners for linear finite element matrices. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献
15.
首先,利用直接代数法给出了一类非线性方程的四组显式精确解的公式.进而,很方便地得到了Jaulent-Miodek方程组和长水波近似方程组的若干新精确解. 相似文献
16.
This paper deals with rational interpolation. From algebraic viewpoint, we present an algebraic formulation of rational interpolation and discuss the existence of the interpolation function. Finally an algorithm for univariate case and an example are presented. 相似文献
17.
A. A. Mishchenko 《Algebra and Logic》2009,48(3):214-227
The results obtained deal in algebraic geometry over partially commutative class two nilpotent ℚ-groups, where ℚ is a field
of rationals. It is proved that two arbitrary non-Abelian partially commutative class two nilpotent ℚ-groups are geometrically
equivalent. A necessary and sufficient condition of being universally geometrically equivalent is specified for two partially
commutative class two nilpotent ℚ-groups. Algebraic sets for systems of equations in one variable, as well as for some special
systems in several variables, are described.
Dedicated to V. N. Remeslennikov on the occasion of his 70th birthday
Translated from Algebra i Logika, Vol. 48, No. 2, pp. 378–399, May–June, 2009. 相似文献
18.
非结构四边形二次Lagrangian有限元方程的代数多重网格法及收敛性分析 总被引:1,自引:0,他引:1
1 引言代数多重网格(AMG)法是求解有结构、非结构冈格下的PDEs离散化系统,以及其它大型稀疏矩阵方程的最为有效的方法之一,是当前多重网格法研究领域的热点.它主要侧重于粗化技术的研究,目前这方面已有大量的工作(见文[1~4]),其中基于部分几何信息和分析信息的AMG法,是当前AMG法发展的一个新趋势(见文[5~7]). 相似文献
19.
It is proved that a polynomial in several Mahler measures with positive rational coefficients is equal to an integer if and only if all these Mahler measures are integers. An estimate for the distance between a metric Mahler measure and an integer is obtained. Finally, it is proved that the ratio of two distinct Mahler measures of algebraic units is irrational. 相似文献
20.
Anne-Mercedes Bellido 《Numerical Algorithms》1994,6(2):317-351
We construct iteration functions for the simultaneous computation of the solutions of a system of equations, with local quadratic convergence: they generalize to the multivariate case the well-known Weierstrass function for polynomials, which is expected to be globally convergent except on a zero-measured set of starting points. We clarify these functions using univariate interpolation. Both for polynomials and algebraic systems with real coefficients, we extend the conjecture of global convergence to the research of real roots or solutions. 相似文献