共查询到20条相似文献,搜索用时 250 毫秒
1.
Benchmarking optimization software with performance profiles 总被引:9,自引:6,他引:3
We propose performance profiles — distribution functions for a performance metric — as a tool for benchmarking and comparing
optimization software. We show that performance profiles combine the best features of other tools for performance evaluation.
Received: February 2001 / Accepted: May 2001?Published online October 2, 2001 相似文献
2.
We give simple necessary and sufficient conditions for self-affine tiles in R
2
to be homeomorphic to a disk.
Received October 10, 2000, and in revised form February 16, 2001, and April 25, 2001. Online publication July 25, 2001. 相似文献
3.
A finite planar set is k -isosceles for k \geq 3 , if every k -point subset of the set contains a point equidistant from the other two. This paper gives affirmative answers to a few open
problems about 4-isosceles sets.
Received August 14, 2001, and in revised form September 10, 2001. Online publication December 21, 2001. 相似文献
4.
Atsushi Tachikawa 《Calculus of Variations and Partial Differential Equations》2003,16(2):217-224
In this paper, we consider the energy of maps from an Euclidean space into a Finsler space and study the partial regularity of energy minimizing maps. We show that the -dimensional Hausdorff measure of the singular set of every energy minimizing map is 0 for some , when m=3,4.
Received: 6 June 2001 / Accepted: 10 July 2001 / Published online: 12 October 2001 相似文献
5.
B.T. Polyak 《Mathematical Programming》2002,91(3):401-416
I am not a historian; these are just reminiscences of a person involved in the development of optimization theory and methods
in the former USSR. I realize that my point of view may be very personal; however, I am trying to present as broad and unbiased
picture as I can.
Received: January 29, 2001 / Accepted: May 17, 2001?Published online October 2, 2001 相似文献
6.
7.
Stefano Berrone 《Numerische Mathematik》2002,91(3):389-422
Summary. We derive a residual-based a posteriori error estimator for a stabilized finite element discretization of certain incompressible Oseen-like equations. We focus our
attention on the behaviour of the effectivity index and we carry on a numerical study of its sensitiveness to the problem
and mesh parameters. We also consider a scalar reaction-convection-diffusion problem and a divergence-free projection problem
in order to investigate the effects on the robustness of our a posteriori error estimator of the reaction-convection-diffusion phenomena and, separately, of the incompressibility constraint.
Received March 21, 2001 / Revised version received July 30, 2001 / Published online October 17, 2001 相似文献
8.
Let M be a complete metric space. If admits an isometric shift, then M is separable.
(Received 2 February 2001; in revised form 9 April 2001) 相似文献
9.
R. Aiyama K. Akutagawa 《Calculus of Variations and Partial Differential Equations》2002,14(4):399-428
The purpose of this paper is to study some uniqueness, existence and regularity properties of the Dirichlet problem at infinity
for proper harmonic maps from the hyperbolic m-space to the open unit n-ball with a specific incomplete metric. When m=n=2, harmonic solutions of this Dirichlet problem yield complete constant mean curvature surfaces in the hyperbolic 3-space.
Received: 25 January 2001 / Accepted: 23 February 2001 / Published online: 25 June 2001 相似文献
10.
Friedrich Pillichshammer 《Monatshefte für Mathematik》2002,136(1):67-79
We give a formula for the -discrepancy of the 2-dimensional Hammersley point set in base 2 for all integers p, .
Received 18 May 2001; in revised form 18 December 2001 相似文献
11.
Andrs Gyrfs 《Journal of Graph Theory》2001,38(2):111-112
A simple proof is given for a result of Sali and Simonyi on self‐complementary graphs. © 2001 John Wiley & Sons, Inc. J Graph Theory 38: 111–112, 2001 相似文献
12.
Let X be a complete toric variety and Y a smooth projective variety with . We prove that, if is a surjective morphism then .
Received: 15 May 2001; in final form: 22 October 2001/ Published online: 4 April 2002 相似文献
13.
A Bernstein theorem for special Lagrangian graphs 总被引:2,自引:0,他引:2
We obtain a Bernstein theorem for special Lagrangian graphs in for arbitrary n only assuming bounded slope but no quantitative restriction.
Received: 18 January 2001 / Accepted: 7 June 2001 / Published online: 12 October 2001
The second-named author is grateful to the Max Planck Institute for Mathematics in the Sciences in Leipzig for its hospitality
and support and also 973 project in China. 相似文献
14.
Static Theory for Planar Ferromagnets and Antiferromagnets 总被引:2,自引:0,他引:2
Here we generalize the “BBH”-asymptotic analysis to a simplified mathematical model for the planar ferromagnets and antiferromagnets.
To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic
vortices formally derived in [1] and [2].
Received March 15, 2001, Accepted May 16, 2001 相似文献
15.
Matthias Kriesell 《Graphs and Combinatorics》2002,18(1):1-30
The aim of the present paper is to survey old and recent results on contractible edges in graphs of a given vertex connectivity.
Received: June 5, 2001 Final version received: August 23, 2001 相似文献
16.
J. L. Arocha J. Bracho L. Montejano D. Oliveros R. Strausz 《Discrete and Computational Geometry》2002,27(3):377-385
In this paper we study the topology of transversals to a family of convex sets as a subset of a Grassmanian manifold. This
topology seems to be ruled by a combinatorial structure which we call a separoid. With these combinatorial objects and the
topological notion of virtual transversal we prove a Borsuk—Ulam-type theorem which has as a corollary a generalization of
Hadwiger's theorem.
Received October 25, 2000, and in revised form September 27, 2001, October 6, 2001, and October 11, 2001. Online publication
March 1, 2002. 相似文献
17.
A.J.E.M. Janssen 《Journal of Fourier Analysis and Applications》1994,1(4):403-436
Let
and let
In this paper we investigate the relation between the frame operator
and the matrix
whose entries
are given by
for
Here
, for any
We show that
is bounded as a mapping of
into
if and only if
is bounded as a mapping of
into
Also we show that
if and
only if
where
denotes the identity operator of
and
respectively, and
Next, when
generates a frame, we have that
has an upper frame bound, and the minimal dual function
can be computed as
The results of this paper extend, generalize, and rigourize results of Wexler and Raz and of Qian, D. Chen, K. Chen, and
Li on the computation of dual functions for finite, discrete-time Gabor expansions to the infinite, continuous-time case.
Furthermore, we present a framework in which one can show that certain smoothness and decay properties of a
generating a frame are inherited by
In particular, we show that
when
generates a frame
Schwartz space). The proofs of the main results of this paper rely heavily on a technique introduced by Tolimieri and Orr
for relating frame bound questions on complementary lattices by means of the Poisson summation formula. 相似文献
18.
We show every monadic Heyting algebra is isomorphic to a functional monadic Heyting algebra. This solves a 1957 problem of
Monteiro and Varsavsky [9].
Received May 18, 2001; accepted in final form October 18, 2001. 相似文献
19.
Josef Teichmann 《Monatshefte für Mathematik》2001,134(2):159-167
A Frobenius Theorem for finite dimensional, involutive subbundles of the tangent bundle of a convenient manifold is proved.
As first key applications Lie’s second fundamental theorem and Nelson’s theorem are treated in the convenient case.
(Received 2 February 2001; in revised form 29 May 2001) 相似文献
20.
Sadahiro Saeki 《Journal of Fourier Analysis and Applications》1995,2(1):15-28
Let
and
Under certain conditions on
we shall prove that
converges nontangentially to
at
for
相似文献