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21.
22.
Trust region affine scaling algorithms for linearly constrained convex and concave programs 总被引:4,自引:0,他引:4
We study a trust region affine scaling algorithm for solving the linearly constrained convex or concave programming problem. Under primal nondegeneracy assumption, we prove that every accumulation point of the sequence generated by the algorithm satisfies the first order necessary condition for optimality of the problem. For a special class of convex or concave functions satisfying a certain invariance condition on their Hessians, it is shown that the sequences of iterates and objective function values generated by the algorithm convergeR-linearly andQ-linearly, respectively. Moreover, under primal nondegeneracy and for this class of objective functions, it is shown that the limit point of the sequence of iterates satisfies the first and second order necessary conditions for optimality of the problem. © 1998 The Mathematical Programming Society, Inc. Published by Elsevier Science B.V.The work of these authors was based on research supported by the National Science Foundation under grant INT-9600343 and the Office of Naval Research under grants N00014-93-1-0234 and N00014-94-1-0340. 相似文献
23.
We study the multiple-sets split feasibility problem that requires to find a point closest to a family of closed convex sets in one space such that its image under a linear transformation will be closest to another family of closed convex sets in the image space. By casting the problem into an equivalent problem in a suitable product space we are able to present a simultaneous subgradients projections algorithm that generates convergent sequences of iterates in the feasible case. We further derive and analyze a perturbed projection method for the multiple-sets split feasibility problem and, additionally, furnish alternative proofs to two known results. 相似文献
24.
Perturbed nonlinear Schrödinger (NLS) equation with the power-law nonlinearity in a nano optical fiber is studied with the help of its equivalent two-dimensional planar dynamic system and Hamiltonian. Via the bifurcation theory and qualitative theory, equilibrium points for the two-dimensional planar dynamic system are obtained. With the external perturbation taken into consideration, chaotic motions for the perturbed NLS equation with the power-law nonlinearity are derived based on the equilibrium points. 相似文献
25.
Harold J. Kushner 《Queueing Systems》2006,54(4):317-329
Consider a communications network consisting of mobiles and random external data processes, each destined to a particular
destination. Each mobile can serve as a node in the multi-hop path from source to destination. At each mobile the data is
queued according to the source destination pair. The quality of the connecting channels are randomly varying. Time is divided
into small scheduling intervals. At the beginning of each interval, the channels are estimated and this information is used
for the decisions concerning allocation of transmission power and/or time, bandwidth, and perhaps antennas, in a queue and
channel-state dependent way. Under a natural (and “almost” necessary) “average flow” condition, stochastic stability methods
are used to develop scheduling policies that assure stability. The policies are readily implementable and allow a range of
tradeoffs between current rates and queue lengths, under very weak conditions. Because of the non-Markovian nature of the
problem, we use the perturbed Stochastic Liapunov function method. The choice of Liapunov function allows a choice of the
effective performance criteria. All essential factors are incorporated into a “mean rate” function, so that the results cover
many different systems. Extensions concerning acknowledgments, multicasting, non-unique routes, and others are given to illustrate
the versatility of the method, and a useful method for getting the a priori routes is discussed. 相似文献
26.
A fast automatic calibration system for a sound level meter in an anechoic environment has been developed. The precise and fast generation of the constant frequency-independent acoustic pressure field and reduction of digital voltmeter readout to sound pressure level were achieved by a newly designed software algorithm, assuming the system linearity. The performance test justified the assumed linearity, and showed that the searching speed was sufficiently fast within the small error limit. 相似文献
27.
M. P. Robinson A. E. Stuchbery R. A. Bark A. P. Byrne G. D. Dracoulis S. M. Mullins A. M. Baxter 《Physics letters. [Part B]》2002,530(1-4):74-80
The average g factors of high-spin states in 180,182,184Pt were measured by the transient-field technique. In all three isotopes the quasicontinuum g factor at an angular momentum of 20 is g0.37. This contrasts with similar measurements on other nuclei that have 70Z80, where typical values of g0.22 have been attributed to the influence of quasineutron alignments. Evidently proton and neutron configurations are about equally important at high spin in the Pt isotopes near mid-shell. This inference is consistent with the discrete spectroscopy, including the contention, supported by gK−gR values, that h9/2 proton pairs align along with the i13/2 neutrons at rotational frequencies of ω≈0.3 MeV in 184Pt. Links between the quasicontinuum g factors and features in the discrete spectroscopy are explored by comparing and contrasting the behavior of 184Pt and 166Hf. 相似文献
28.
We classify open maximal subalgebras of all infinite-dimensional linearly compact simple Lie superalgebras. This is applied to the classification of infinite-dimensional Lie superalgebras of vector fields, acting transitively and primitively in a formal neighborhood of a point of a finite-dimensional supermanifold. 相似文献
29.
本文提出了二类新的摄动可行方向法,发展和完善了这类方法.新方法形式简单而且不必用Polak程序.适当选择算法中有关参数可减少计算量,还可加快算法的收敛速度. 相似文献
30.
Philippe G. Ciarlet 《Proceedings Mathematical Sciences》1994,104(1):269-278
We review existence and uniqueness results, recently obtained for three of the most important linear two-dimensional shell
models: Koiter’s model, the bending model and the membrane model. They rely on a crucial lemma of J L Lions, used in an essential
way for establishing in each case a generalized Korn’s inequality, which is then combined with a generalized rigid displacement
lemma of a geometrical nature.
Dedicated to the memory of Professor K G Ramanathan 相似文献