共查询到20条相似文献,搜索用时 15 毫秒
1.
Deborah Brandon Robert C. Rogers 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1994,45(1):135-152
The research of D. Brandon was partially supported by the National Science Foundation through grant # DMS-9296011 and by the Army Research Office and the National Science Foundation through the Center for Nonlinear Analysis. 相似文献
2.
Ivan N. Soskov 《Archive for Mathematical Logic》1990,29(3):187-200
Research partially supported by the Committee for Science at the Council of Ministers, Contract #247, 1987 相似文献
3.
L. J. Guibas D. Halperin J. Matoušek M. Sharir 《Discrete and Computational Geometry》1995,14(1):113-122
We show that, for any collection ℋ ofn hyperplanes in ℜ4, the combinatorial complexity of thevertical decomposition of the arrangementA(ℋ) of ℋ isO(n
4 logn). The proof relies on properties of superimposed convex subdivisions of 3-space, and we also derive some other results concerning
them.
Work on this paper by Leonidas Guibas and Micha Sharir has been supported by a grant from the U.S.-Israeli Binational Science
Foundation. Work by Leonidas Guibas was also supported by National Science Foundation Grant CCR-9215219. Work by Micha Sharir
was also supported by National Science Foundation Grant CCR-91-22103, and by grants from the G.I.F.—the German Isreali Foundation
for Scientific Research and Development, and the Fund for Basic Research administered by the Israeli Academy of Sciences.
Work by Jiří Matouŝek was done while he was visiting Tel Aviv University, and its was partially supported by a Humboldt Research
Fellowship. Work on this paper by Dan Halperin was carried out while he was at Tel Aviv University. 相似文献
4.
Perturbation of operators and applications to frame theory 总被引:31,自引:0,他引:31
A celebrated classical result states that an operator U on a Banach space is invertible if it is close enough to the identity
operator I in the sense that ‖I−U‖<1. Here we show that U actually is invertible under a much weaker condition. As an application we prove new theorems concerning
stability offrames (and frame-like decompositions) under perturbation in both Hilbert spaces and Banach spaces.
The first named author is partially supported by grants from the U.S. National Science Foundation (grant no. NSF DMS-9201357),
the Danish Natural Science Research Council (Grant no. 9401598), and grants from the University of Missouri System Research
Board, and the MU Research Council. The second named author thanks the University of Missouri for its hospitality during a
visit, where the first draft of the paper was written. 相似文献
5.
Robert J. Zimmer 《Israel Journal of Mathematics》1991,74(2-3):199-207
We discuss the implications of superrigidity and Ratner’s theorem on invariant measures on homogeneous spaces for understanding
the fundamental group of manifolds with an action of a semisimple Lie group.
Research partially supported by the National Science Foundation and the Israel-U.S. Binational Science Foundation. 相似文献
6.
The idea of a finite collection of closed sets having “linearly regular intersection” at a point is crucial in variational
analysis. This central theoretical condition also has striking algorithmic consequences: in the case of two sets, one of which
satisfies a further regularity condition (convexity or smoothness, for example), we prove that von Neumann’s method of “alternating
projections” converges locally to a point in the intersection, at a linear rate associated with a modulus of regularity. As
a consequence, in the case of several arbitrary closed sets having linearly regular intersection at some point, the method
of “averaged projections” converges locally at a linear rate to a point in the intersection. Inexact versions of both algorithms
also converge linearly.
Research of A.S. Lewis supported in part by National Science Foundation Grant DMS-0504032.
Research of D.R. Luke supported in part by National Science Foundation Grant DMS-0712796. 相似文献
7.
We give an explicit form of a “good” Euler factor of a certain Dirichlet series attached to the Siegel-Eisenstein series.
The author was partially supported by Grant-in-Aid for Scientific Research, the Ministry of Education, Science, Sports and
Culture, Japan. 相似文献
8.
We show that the number of topologically different orthographic views of a polyhedral terrain withn edges isO(n
5+ɛ
), and that the number of topologically different perspective views of such a terrain isO(n
8+ɛ
), for any ɛ>0. Both bounds are almost tight in the worst case. The proofs are simple consequences of the recent almost-tight
bounds of [11] on the complexity of lower envelopes in higher dimensions.
Pankaj Agarwal has been supported by National Science Foundation Grant CCR-91-06514. Micha Sharir has been supported by National
Science Foundation Grant CCR-91-22103, and by grants from the U.S.—Israeli Binational Science Foundation, the G.I.F.—the German
Israeli Foundation for Scientific Research and Development- and the Fund for Basic Research administered by the Israeli Academy
of Sciences. 相似文献
9.
Monte Carlo and quasi-Monte Carlo sampling methods for a class of stochastic mathematical programs with equilibrium constraints 总被引:1,自引:0,他引:1
Gui-Hua Lin Huifu Xu Masao Fukushima 《Mathematical Methods of Operations Research》2008,67(3):423-441
In this paper, we consider a class of stochastic mathematical programs with equilibrium constraints introduced by Birbil et al.
(Math Oper Res 31:739–760, 2006). Firstly, by means of a Monte Carlo method, we obtain a nonsmooth discrete approximation
of the original problem. Then, we propose a smoothing method together with a penalty technique to get a standard nonlinear
programming problem. Some convergence results are established. Moreover, since quasi-Monte Carlo methods are generally faster
than Monte Carlo methods, we discuss a quasi-Monte Carlo sampling approach as well. Furthermore, we give an example in economics
to illustrate the model and show some numerical results with this example.
The first author’s work was supported in part by the Scientific Research Grant-in-Aid from Japan Society for the Promotion
of Science and SRF for ROCS, SEM. The second author’s work was supported in part by the United Kingdom Engineering and Physical
Sciences Research Council grant. The third author’s work was supported in part by the Scientific Research Grant-in-Aid from
Japan Society for the Promotion of Science. 相似文献
10.
Takao Watanabe 《Monatshefte für Mathematik》2006,149(2):155-172
We generalize the notion of successive minima, Minkowski’s second theorem and Siegel’s lemma to a free module over a simple
algebra whose center is a global field.
The author was partly supported by the Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science. 相似文献
11.
We discuss a technical problem arising in the motion planning algorithm of Kedem and Sharir [KS], and propose a way to overcome
it without increasing the asymptotic complexity of the algorithm
The first author was supported by the Eshkol Grant 04601-90 from the Israeli Ministry of Science and Technology. The second
author was partly supported by the Fund for Basic Research administered by the Israeli Academy of Sciences, by National Science
Foundation Grants CCR-91-22103 and CCR-93-11127, and by grants from the U.S.-Israeli Binational Science Foundation, and the
G.I.F., the German-Israeli Foundation for Scientific Research and Development. The third author was partly supported by the
Interdisciplinary Program at Tel-Aviv University. The third author’s current address is: Department of Computer Science, MIT,
Boston, MA, USA. 相似文献
12.
Fast matrix multiplication is stable 总被引:1,自引:1,他引:0
We perform forward error analysis for a large class of recursive matrix multiplication algorithms in the spirit of Bini and
Lotti [Numer. Math. 36:63–72, 1980]. As a consequence of our analysis, we show that the exponent of matrix multiplication
(the optimal running time) can be achieved by numerically stable algorithms. We also show that new group-theoretic algorithms
proposed in Cohn and Umans [Foundations of Computer Science, 44th Annual IEEE Symposium, pp. 438–449, 2003] and Cohn et al.
[Foundations of Computer Science, 46th Annual IEEE Symposium, pp. 379–388, 2005] are all included in the class of algorithms
to which our analysis applies, and are therefore numerically stable. We perform detailed error analysis for three specific
fast group-theoretic algorithms.
J. Demmel acknowledges support of NSF under grants CCF-0444486, ACI-00090127, CNS-0325873 and of DOE under grant DE-FC02-01ER25478.
I. Dumitriu acknowledges support of the Miller Institute for Basic Research in Science.
R. Kleinberg is supported by an NSF Mathematical Sciences Postdoctoral Research Fellowship 相似文献
13.
Tai Shan YI Li Hong HUANG 《数学学报(英文版)》2007,23(8):1375-1384
The authors investigate the asymptotic behavior of solutions to a class of systems of delay differential equations. It is shown that every bounded solution of such a class of systems tends to a constant vector as t→∞. Our results improve and extend some corresponding ones already known. 相似文献
14.
John H. Hodges 《Annali di Matematica Pura ed Applicata》1978,44(1):245-250
Summary Explicit formulas are found for the number of solutions over a finite field of several matrix equations, for example:X′A+A′X=B. Conditons for solvability are also given.
The research for thispaper was supported by National Science Foundation Research Grant G-2990. 相似文献
15.
M. Katsurada 《Lithuanian Mathematical Journal》1998,38(1):77-88
The mean square of all DirichletL-functions (modq), in the form (2.1) given below, will be investigated. We establish full asymptotic expansions for (2.1) (see Theorems 1
and 2) by introducing the Mellin-Barnes type of integral formula (3.4) for the infinite double sum (3.2). Our treatment of
(2.1) becomes, by virtue of (3.4), considerably simpler than the existing methods. Further improvments (Theorems A and B)
are also given.
Research supported by Grant-in-Aid for Scientific Research (No. 07740035), Ministry of Education, Science, Sports, and Culture,
Japan.
Department of Mathematics and Computer Science, Kagoshima University, Korimoto, Kagoshima 890–0065, Japan. Published in Lietuvos
Matematikos Rinkinys, Vol. 38, No. 1, pp. 98–112, January–March, 1998. 相似文献
16.
LINCUIQIN KATHERINEHEINRICH 《高校应用数学学报(英文版)》1994,9(1):77-84
A collection of k-matchings of bipartite graph Kn1n with the property that every pair of independent edges lies in exactly λ of the k-matchings is called a BIMATCH(n, k, λ)-design. Existences and constructions for various BIMATCH (n, k, λ)-designs are given. 相似文献
17.
Alexander Vasil’ev 《Complex Analysis and Operator Theory》2009,3(2):551-585
This paper is a historical overview of the development of the topic now commonly known as Laplacian Growth, from the original
Hele-Shaw experiment to the modern treatment based on integrable systems.
Supported by the grant of the Norwegian Research Council #177355/V30, and by the European Science Foundation Research Networking
Programme HCAA. 相似文献
18.
Feng Gu 《Positivity》2008,12(3):503-509
The purpose of this paper is to prove a strong convergence theorem for a finite family of uniformly L-Lipschitzian mappings in Banach spaces. The results presented in the paper improve and extend some recent results in Chang
[1], Cho et al. [2] Ofoedu [5], Schu [7] and Zeng [8, 9].
The present studies were supported by “the Natural Science Foundation of China (No. 10771141),” the Natural Science Foundation
of Zhejiang Province (Y605191), the Natural Science Foundation of Heilongjiang Province (A0211), the Scientific Research Foundation
from Zhejiang Province Education Committee (20051897). 相似文献
19.
Gradimir V. Milovanović Aleksandar S. Cvetković Marija P. Stanić 《Numerische Mathematik》2009,112(3):425-448
In this paper we consider interpolatory quadrature formulae with multiple nodes, which have the maximal trigonometric degree
of exactness. Our approach is based on a procedure given by Ghizzeti and Ossicini (Quadrature formulae, Academie-Verlag, Berlin,
1970). We introduce and consider the so-called σ-orthogonal trigonometric polynomials of semi-integer degree and give a numerical method for their construction. Also, some numerical examples are included.
The authors were supported in part by the Serbian Ministry of Science and Technological Development (Project: Orthogonal Systems
and Applications, grant number #144004) and the Swiss National Science Foundation (SCOPES Joint Research Project No. IB7320-111079
“New Methods for Quadrature”). 相似文献
20.
Sirendaoreji 《高校应用数学学报(英文版)》2004,19(2):178-186
Based on the computerized symbolic computation, some new exact travelling wave solutions to three nonlinear evolution equations are explicitly obtained by replacing the tanhξ in tanh-function method with the solutions of a new auxiliary ordinary differential equation. 相似文献