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1.
Unzerlegbare Darstellungen I   总被引:15,自引:0,他引:15  
LetK be the structure got by forgetting the composition law of morphisms in a given category. A linear representation ofK is given by a map V associating with any morphism : ae ofK a linear vector space map V(): V(a)V(e). We classify thoseK having only finitely many isomorphy classes of indecomposable linear representations. This classification is related to an old paper by Yoshii [3].
Unzerlegbare Darstellungen I

Herrn Professor E. Witt zum 60. Geburtstag  相似文献
2.
一类半线性双调和方程的整体解   总被引:13,自引:1,他引:12  
本文主要目的是证明一类半线性双调和方程的正的整体解的存在性,推广了T.Kusano和C.A.Swanson的部分结果。  相似文献
3.
Variable Neighborhood Decomposition Search   总被引:12,自引:0,他引:12  
The recent Variable Neighborhood Search (VNS) metaheuristic combines local search with systematic changes of neighborhood in the descent and escape from local optimum phases. When solving large instances of various problems, its efficiency may be enhanced through decomposition. The resulting two level VNS, called Variable Neighborhood Decomposition Search (VNDS), is presented and illustrated on the p-median problem. Results on 1400, 3038 and 5934 node instances from the TSP library show VNDS improves notably upon VNS in less computing time, and gives much better results than Fast Interchange (FI), in the same time that FI takes for a single descent. Moreover, Reduced VNS (RVNS), which does not use a descent phase, gives results similar to those of FI in much less computing time.  相似文献
4.
Critical point theorems for indefinite functionals   总被引:11,自引:0,他引:11  
A variational principle of a minimax nature is developed and used to prove the existence of critical points for certain variational problems which are indefinite. The proofs are carried out directly in an infinite dimensional Hilbert space. Special cases of these problems previously had been tractable only by an elaborate finite dimensional approximation procedure. The main applications given here are to Hamiltonian systems of ordinary differential equations where the existence of time periodic solutions is established for several classes of Hamiltonians.Supported in part by the U.S. Army under Contract No. DAAG-29-75-C-0024 and by the Conseglio Nazionale delle Ricerche-Gruppo Nazionale Analisi Funzionale e ApplicazioneSupported in part by the J.S. Guggenheim Memorial Foundation, and by the Office of Naval Research under Contract No. N00014-76-C-0300. Reproduction in whole or in part is permitted for any purpose of the U.S. Government  相似文献
5.
A general alternative theorem for convexlike functions is given. This permits the establishment of optimality conditions for convexlike programming problems in which both inequality and equality constraints are considered. It is shown that the main results of the paper contain, in particular, those of Craven, Giannessi, Jeyakumar, Hayashi, and Komiya, Simons, Zlinescu, and a recent result of Tamminen.  相似文献
6.
关于n维单形的一个不等式   总被引:9,自引:0,他引:9       下载免费PDF全文
Let x1,x2… ,xn are vectors set out from any vertex of n-simplex. The ineluded angle of xi and xj is aij , and G=(?)aij, the volume of this simplex is V. In this paper, we prove the inequality as below:(?) When n=2, the equality holds in (*) , when n≥3, the equality holds in (*) if {xi} is orthogonal set.  相似文献
7.
Derivations of nest algebras   总被引:8,自引:0,他引:8  
8.
A new, robust recursive quadratic programming algorithm model based on a continuously differentiable merit function is introduced. The algorithm is globally and superlinearly convergent, uses automatic rules for choosing the penalty parameter, and can efficiently cope with the possible inconsistency of the quadratic search subproblem. The properties of the algorithm are studied under weak a priori assumptions; in particular, the superlinear convergence rate is established without requiring strict complementarity. The behavior of the algorithm is also investigated in the case where not all of the assumptions are met. The focus of the paper is on theoretical issues; nevertheless, the analysis carried out and the solutions proposed pave the way to new and more robust RQP codes than those presently available.  相似文献
9.
关于序列覆盖s映射的注记   总被引:7,自引:0,他引:7       下载免费PDF全文
李进金  蔡伟元 《数学学报》2000,43(4):757-762
本文分别给出局部可分度量空间的强序列覆盖(1序列覆盖,2序列覆盖)。映象的新刻画,还分别给出拓扑空间是局部可分度量空间的序列覆盖(紧覆盖)s映象的一个充分条件.  相似文献
10.
A class of nonmonotone stabilization methods in unconstrained optimization   总被引:7,自引:0,他引:7  
Summary This paper deals with the solution of smooth unconstrained minimization problems by Newton-type methods whose global convergence is enforced by means of a nonmonotone stabilization strategy. In particular, a stabilization scheme is analyzed, which includes different kinds of relaxation of the descent requirements. An extensive numerical experimentation is reported.  相似文献
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