共查询到20条相似文献,搜索用时 78 毫秒
1.
通过引入广义K-框架和广义K-原子系统给出了Hilbert空间上有界线性算子K的值域的一种新的重构方式.广义K-框架是Hilbert空间中广义框架和K-框架概念的一种新的推广.为了建立基于广义K-框架的元素重构理论,广义K-对偶对和广义逼近K-对偶对的概念被引入.此外,广义K-框架和广义K-原子系统之间的关系,广义K-对偶对的存在条件以及广义K-对偶对和广义逼近K-对偶对之间的联系等问题被深入地讨论和研究. 相似文献
2.
3.
本文利用广义双正交序列研究广义Riesz基的等价刻画,得到了算子序列是广义Riesz基当且仅当该算子列是广义完备的广义Bessel序列,且它存在广义双正交序列及这个双正交序列也是广义完备的广义Bessel序列.进一步证明了等价刻画中两个广义Bessel序列的广义完备性条件可以去掉一个(或者任一个),并举例说明了广义双正交,广义完备与广义Bessel条件之间的关系. 相似文献
4.
优化ETI支付进度安排是消除承包商和业主由于进度安排原因而产生经济纠纷,实现双赢的最有效方法.本文分析了活动间广义时序关系的类型,建立了广义时序关系下活动间的约束关系;在考虑承包商和业主双方联合收益要求的基础上,提出了双方的净现值按同比例减小的折衷原则,构建了广义活动网络在ETI支付方式下的支付进度计划模型;最后通过一个算例进行了分析,验证表明该优化模型具有较好的有效性和实用性. 相似文献
5.
6.
本文给出了一个2×2谱问题及其相应的孤子族,并利用此孤子族的Lenard算子对的性质,证明了该系统是具有Bi-Hamilton结构和Multi-Hamilton结构的广义Hamilton系统,进一步给出其Liouville可积性的证明.此外,值得提出的是此系统可约化为广义TD族、TD族和广义C-KdV族、C-KdV族等,并得到了该孤子族的Hamilton泛函与守恒密度之问的一一对应关系. 相似文献
7.
考虑Simon反谱理论新方法中引入的A-函数,根据Weyl函数m关于A-函数的表示关系,利用广义函数和Fourier变换的方法求出A-函数关于Weyl函数m的反表示,该结论表明A-函数的本质是广义函数. 相似文献
8.
近些年来,Wardrop原理在有容量限制的交通网络中沿着两个方向被学者推广,形成了几种不同的广义网络均衡定义.在路径、路段上两种类型的容量限制下,通过对四种广义网络均衡进行比较,得到这些均衡解之间的相互关系;用反例说明广义均衡解集包含关系不成立的情况;得到这些广义均衡解的效率损失. 相似文献
9.
借助于Ben-Tal广义代数运算引进了一种新的函数--- (h,φ)-Lipschitz函数. 讨论了它与Lipschitz函数之间的关系,给出了它的广义方向导数和广义梯度,得到了它们的若干性质. 作为应用,给出了广义方向导数与切锥之间的关系. 相似文献
10.
借助于广义算子半群和广义积分算子半群的关系,讨论广义算子半群的Perron型指数稳定性,研究了广义积分算子半群的渐近行为. 相似文献
11.
Clarke and Monzo defined in [3] a construction called a generalized inflation of a semigroup. It is always the case that any
inflation of a semigroup is a generalized inflation,
and any generalized inflation of a semigroup is a null extension of the semigroup. Clarke and Monzo proved that any associative
null extension of a base semigroup which is a union of
groups is in fact a generalized inflation. In this paper we study null extensions and generalized inflations of Brandt semigroups.
We first prove that any generalized inflation of a Brandt
semigroup is actually an inflation of the semigroup. This answers a question posed by Clarke and Monzo in [3]. Then we characterize
associative null extensions of Brandt semigroups, and show that there are associative null extensions of Brandt semigroups
which are not generalized inflations. 相似文献
12.
13.
The authors give the necessary and sufficient conditions for a generalized circle in a Weyl hypersurface to be generalized circle in the enveloping Weyl space. They then obtain the neccessary and sufficient conditions under which a generalized concircular transformation of one Weyl space onto another induces a generalized transformation oil its subspaces. Finally, it is shown that any totally geodesic or totally umbilical hypersurface of a generalized concircularly flat Weyl space is also generalized concircularly flat. 相似文献
14.
15.
It is shown that any generalized Jordan (triple-)derivation on a 2–torsion free semiprime ring is a generalized derivation
and that any generalized Jordan higher derivation on a 2–torsion free semiprime ring is a generalized higher derivation. Then
we give several conditions which enable some generalized Jordan derivations on prime rings to degenerate left or right multipliers.
Lastly, we apply these degenerating conditions to discuss the range inclusion problems of generalized derivations on noncommutative
Banach algebras. 相似文献
16.
Yu. G. Rykov 《Proceedings of the Steklov Institute of Mathematics》2018,301(1):213-227
The paper contains results concerning the development of a new approach to the proof of existence theorems for generalized solutions to systems of quasilinear conservation laws. This approach is based on reducing the search for a generalized solution to analyzing extremal properties of a certain set of functionals and is referred to as a variational approach. The definition of a generalized solution can be naturally reformulated in terms of the existence of critical points for a set of functionals, which is convenient within the approach proposed. The variational representation of generalized solutions, which was earlier known for Hopf-type equations, is generalized to systems of quasilinear conservation laws. The extremal properties of the functionals corresponding to systems of conservation laws are described within the variational approach, and a strategy for proving the existence theorem is outlined. In conclusion, it is shown that the variational approach can be generalized to the two-dimensional case. 相似文献
17.
Dijana Mosi? 《Applied mathematics and computation》2009,215(8):2826-2834
In this paper we obtain the formula for computing the condition number of a complex matrix, which is related to the outer generalized inverse of a given matrix. We use the Schur decomposition of a matrix. We characterize the spectral norm and the Frobenius norm of the relative condition number of the generalized inverse, and the level-2 condition number of the generalized inverse. The sensitivity for the generalized Drazin-inverse solution of linear systems is presented. We also present the structured perturbation of the generalized inverse. 相似文献
18.
S. Karamardian S. Schaible J. P. Crouzeix 《Journal of Optimization Theory and Applications》1993,76(3):399-413
This paper is a sequel to Ref. 1 in which several kinds of generalized monotonicity were introduced for maps. They were related to generalized convexity properties of functions in the case of gradient maps. In the present paper, we derive first-order characterizations of generalized monotone maps based on a geometrical analysis of generalized monotonicity. These conditions are both necessary and sufficient for generalized monotonicity. Specialized results are obtained for the affine case. 相似文献
19.
Augusto Ferrante 《Linear and Multilinear Algebra》2013,61(11):1460-1474
This paper proposes a reduction technique for the generalized Riccati difference equation arising in optimal control and optimal filtering. This technique relies on a study on the generalized discrete algebraic Riccati equation. In particular, an analysis on the eigenstructure of the corresponding extended symplectic pencil enables to identify a subspace in which all the solutions of the generalized discrete algebraic Riccati equation are coincident. This subspace is the key to derive a decomposition technique for the generalized Riccati difference equation. This decomposition isolates a “nilpotent” part, which converges to a steady-state solution in a finite number of steps, from another part that can be computed by iterating a reduced-order generalized Riccati difference equation. 相似文献
20.
We solve a generalized Gauss problem in the Euclidean plane which states that: Given a convex quadrilateral, a positive number (weight) that corresponds to each of its vertices and a length of a linear segment which connects two mobile interior points of the quadrilateral find the minimum weighted network, which connects two of the vertices with one interior point and the other two with another interior point (Generalized Gauss tree). Furthermore, we introduce a generalized Gauss variable which corresponds to the unknown weight of the given distance which connects the two mobile interior points and obtain a degenerate generalized Gauss tree which corresponds to a specific value of the generalized Gauss variable that minimizes the length of the induced generalized Gauss trees and the weighted Fermat–Torricelli tree for a specific value of the generalized Gauss variable that maximizes the length of the induced generalized Gauss trees. Following this technique, we introduce a new class of generalized Gauss trees that we call absorbing generalized Gauss trees and a new class of Fermat–Torricelli trees that we call absorbing Fermat–Torricelli trees with respect to the sum of the four given weights of the convex quadrilateral. 相似文献