1) dual feasible basis
对偶可行基
1.
Some properties of the proposed are analysed,and a method for computing a dual feasible basis of the discussed problem is given.
分析了方法的性质,给出了初始对偶可行基的计算方法,并用实例说明方法的具体操作。
2.
A method is presented,which uses elementary alternation,changing linear programming problem into simpler form,to find thd first feasible basis or dual feasible basis of the problem,As artificial variables are avoided as for as possible,the problem is made much simple,and the method is theoretically proved feasible.
本文提出了一种用初等变换的方法,将线性规划问题化成简单形式后,再求出线性规划问题的第一个可行基或对偶可行基。
2) dual feasible solution
对偶可行解
3) primal dual interior point method
不可行原-对偶内点法
4) dual basis
对偶基
1.
The dual basis of β basis was provided with the combinational calculation method.
通过组合运算找到β基的对偶基,利用这种对偶基推导幂基函数在β基函数下的Marsden恒等式。
2.
By means of dual basis for Said Ball basis of even degree, we obtained Marsden identity and realized the conversion from Bézier curve to Said Ball curve These results are useful for the application of Said Ball curve and its popularization in Computer Aided Geometric Desig
利用任意偶数次Said Ball基的对偶基 ,给出Said Ball基函数下的Marsden恒等式 ,并实现B啨zier曲线到Said Ball曲线的转换 这些结果对Said Ball曲线在CAGD中的应用及推广是极为有益
5) weakly dual basis
弱对偶基
6) trace dual basis
迹对偶基
补充资料:对偶基
对偶基
dual basis
对偶基帅目加幽:月ao.eToe。。“翻6a3一e」 设E为具有单位元的交换环K上的自由K模,f是E上非退化(非奇异)双线性型,模E的基夏e,,…,气}相对f的对偶基是E的基{c,,…,气},它使 f(弓,q)=l,f(弓,马)=o, i护j,1簇i,j续”. 设E’为E的对偶模,笼可,…,e:}是E’中与E的基对偶的基:e:(eJ=1,可(ej)一0,i有·对于E的每个双线性型f相应地有两个映射外,咚:E~E’,由下式定义: 竹(x)(夕)二f(x,夕),街(x)(夕)=f(夕,x)·若f非奇异,则外,呜是同构,反之亦成立,与{e,,一、气}对偶的基王c.,…,气}的刻画性质为: 呜(e:)=e:(i=l,…,n)· E .H.Ky3bM“”撰【补注】E上的双线性型f是非退化的(也称非奇异的),是指对任何x6E,若对所有y有f(x,y)=O,则x=0;对任何y‘E,若对所有x有f(x,y)=O,则y=0.有时也用术语共扼模(共扼空间)代替对偶模(对偶空间).
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