The present paper covers the Hopf points bifurcating from double fold points, and gives some computable nondegeneracy conditions and stability conditions of these Hopf points.
本文研究从双重折叠点分支出的Hopf点,给出了可计算的非退化性条件及稳定性条件。
A Certain Kind of the Non-degenerate Nilpotent Lie Algebras on C;
复数域C上的一类非退化幂零李代数
The projected gradient of the iterative sequence converges to zero under the certain conditions is proved,and the finite termination under the conditions of weak sharp minima and non-degenerate are obtained respectively.
并分别在弱强极小性和非退化的条件下得到了算法的有限终止性。
The non-degenerate of the Markov integrated semigroup is proved according to the definition of transition probability functions.
从转移概率函数的定义出发,证明了Markov积分算子半群是非退化的。
The relation between the nondegeneracy of their primal-dual optimal solutions and their strictly complementary optimal solutions is characterized, and then the conditions in which the solutions of a pair of primal and dual conic programmings are unique respectively are obtained.
从几何的观点描述一对原始-对偶锥规划可行域的极点,给出原始-对偶非退化的最优解与严格互补的最优解之间的关系,从而得到锥规划最优解唯一的条件。
In this paper we discuss the n-Widths of function class , determined by nondegenerate totally positive kernel K(.
讨论了由非退化的全正核K(x,y)和具有特定性质的函数系{ki(x)}ri=1所确定的某一函数类 (?)∞在Orlicz空间内的n-K宽度,n-G宽度,n-L宽度的精确估计问题。
<Abstrcat> In this paper we give the accurate estimation of n-K width of some function class K∞,ω,M and K∞,ω,(M) defined by nondegenerate totally positive kernel K and continuity modulus function ω which possess special properties.
研究了由非退化全正核K和具有特殊性质的连续模函数ω所确定的函数类K∞,ω,M与K∞,ω,(M)在Orlicz空间内的n维Kolmogorov宽度的精确估计问题。