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51.
A. P. Solodov 《Mathematical Notes》2005,78(1-2):258-263
We generalize the construction proposed by A. Paskiewich of an example of an orthonormal system which establishes the sharpness of the Men’shov-Rademacher theorem. The connection of his example with that of Men’shov is elucidated.__________Translated from Matematicheskie Zametki, vol. 78, no. 2, 2005, pp. 286–291.Original Russian Text Copyright © 2005 by A. P. Solodov. 相似文献
52.
V. A. Solodov O. A. Varnavskaya L. K. Khvatova B. R. Fakhrutdinov N. A. Lebedev I. N. Diyarov 《Russian Journal of Applied Chemistry》2005,78(6):944-949
Sorbitol-based block copolymers of ethylene and propylene oxides were synthesized and characterized as surfactants and demulsifiers.__________Translated from Zhurnal Prikladnoi Khimii, Vol. 78, No. 6, 2005, pp. 966–971.Original Russian Text Copyright © 2005 by Solodov, Varnavskaya, Khvatova, Fakhrutdinov, Lebedev, Diyarov. 相似文献
53.
Mikhail V. Solodov 《Mathematical Programming》2009,118(1):1-12
Usual global convergence results for sequential quadratic programming (SQP) algorithms with linesearch rely on some a priori
assumptions about the generated sequences, such as boundedness of the primal sequence and/or of the dual sequence and/or of
the sequence of values of a penalty function used in the linesearch procedure. Different convergence statements use different
combinations of assumptions, but they all assume boundedness of at least one of the sequences mentioned above. In the given
context boundedness assumptions are particularly undesirable, because even for non-pathological and well-behaved problems
the associated penalty functions (whose descent is used to produce primal iterates) may not be bounded below for any value
of the penalty parameter. Consequently, boundedness assumptions on the iterates are not easily justifiable. By introducing
a very simple and computationally cheap safeguard in the linesearch procedure, we prove boundedness of the primal sequence
in the case when the feasible set is nonempty, convex, and bounded. If, in addition, the Slater condition holds, we obtain
a complete global convergence result without any a priori assumptions on the iterative sequences. The safeguard consists of
not accepting a further increase of constraints violation at iterates which are infeasible beyond a chosen threshold, which
can always be ensured by the proposed modified SQP linesearch criterion.
The author is supported in part by CNPq Grants 301508/2005-4, 490200/2005-2, 550317/2005-8, by PRONEX–Optimization, and by
FAPERJ Grant E-26/151.942/2004. 相似文献
54.
New estimates of the sums of sine series with monotone coefficients of special classes in terms of the Salem majorant are obtained. The asymptotic sharpness of the obtained estimates for sequences of coefficients from the classes under consideration is proved. 相似文献
55.
The water vapour line-broadening (γ) and shift (δ) coefficients for 310 lines of 10 vibrational bands ν1, ν3, 2ν2, ν1+ ν2, ν2+ ν3, 2ν2 +ν3, 2ν1, ν1+ ν3, 2ν3 and ν1 +2ν2 induced by argon pressure were measured with a Bruker IFS HR 125 spectrometer. The measurements were performed at room temperature, at the spectral resolution of 0.01 cm–1 and over a wide pressure range of Ar. The calculations of the broadening coefficients γ and δ were performed in the framework of the semi-classical method. The intermolecular potential was taken as the sum of the atom–atom potential and the vibrationally and rotationally dependent isotropic induction+dispersion potential. The measured γ and δ were combined with literature data for the ν2 and 3ν1+ν3, 2ν1+2ν2+ν3 vibrational bands, and the optimal sets of potential parameters that gave the best agreement with the measured broadening coefficients for each vibrational band separately were found. Then, combined experimental data of 13 vibrational bands of H2O perturbed by Ar were used to determine the analytical dependence of some potential parameters on vibrational quantum numbers. 相似文献
56.
57.
Shock ignition of thermonuclear fuel with high areal density 总被引:1,自引:0,他引:1
Betti R Zhou CD Anderson KS Perkins LJ Theobald W Solodov AA 《Physical review letters》2007,98(15):155001
A novel method by C. Zhou and R. Betti [Bull. Am. Phys. Soc. 50, 140 (2005)] to assemble and ignite thermonuclear fuel is presented. Massive cryogenic shells are first imploded by direct laser light with a low implosion velocity and on a low adiabat leading to fuel assemblies with large areal densities. The assembled fuel is ignited from a central hot spot heated by the collision of a spherically convergent ignitor shock and the return shock. The resulting fuel assembly features a hot-spot pressure greater than the surrounding dense fuel pressure. Such a nonisobaric assembly requires a lower energy threshold for ignition than the conventional isobaric one. The ignitor shock can be launched by a spike in the laser power or by particle beams. The thermonuclear gain can be significantly larger than in conventional isobaric ignition for equal driver energy. 相似文献
58.
Error bounds for proximal point subproblems and associated inexact proximal point algorithms 总被引:1,自引:0,他引:1
We study various error measures for approximate solution of proximal point regularizations of the variational inequality problem,
and of the closely related problem of finding a zero of a maximal monotone operator. A new merit function is proposed for
proximal point subproblems associated with the latter. This merit function is based on Burachik-Iusem-Svaiter’s concept of
ε-enlargement of a maximal monotone operator. For variational inequalities, we establish a precise relationship between the
regularized gap function, which is a natural error measure in this context, and our new merit function. Some error bounds
are derived using both merit functions for the corresponding formulations of the proximal subproblem. We further use the regularized
gap function to devise a new inexact proximal point algorithm for solving monotone variational inequalities. This inexact
proximal point method preserves all the desirable global and local convergence properties of the classical exact/inexact method,
while providing a constructive error tolerance criterion, suitable for further practical applications. The use of other tolerance
rules is also discussed.
Received: April 28, 1999 / Accepted: March 24, 2000?Published online July 20, 2000 相似文献
59.
This paper concerns with convergence properties of the classical proximal point algorithm for finding zeroes of maximal monotone
operators in an infinite-dimensional Hilbert space. It is well known that the proximal point algorithm converges weakly to
a solution under very mild assumptions. However, it was shown by Güler [11] that the iterates may fail to converge strongly
in the infinite-dimensional case. We propose a new proximal-type algorithm which does converge strongly, provided the problem
has a solution. Moreover, our algorithm solves proximal point subproblems inexactly, with a constructive stopping criterion
introduced in [31]. Strong convergence is forced by combining proximal point iterations with simple projection steps onto
intersection of two halfspaces containing the solution set. Additional cost of this extra projection step is essentially negligible
since it amounts, at most, to solving a linear system of two equations in two unknowns.
Received January 6, 1998 / Revised version received August 9, 1999?Published online November 30, 1999 相似文献
60.
Aubert B Bona M Karyotakis Y Lees JP Poireau V Prencipe E Prudent X Tisserand V Garra Tico J Grauges E Lopez L Palano A Pappagallo M Eigen G Stugu B Sun L Abrams GS Battaglia M Brown DN Cahn RN Jacobsen RG Kerth LT Kolomensky YG Lynch G Osipenkov IL Ronan MT Tackmann K Tanabe T Hawkes CM Soni N Watson AT Koch H Schroeder T Walker D Asgeirsson DJ Fulsom BG Hearty C Mattison TS McKenna JA Barrett M Khan A Blinov VE Bukin AD Buzykaev AR Druzhinin VP Golubev VB Onuchin AP Serednyakov SI Skovpen YI 《Physical review letters》2008,101(7):071801
We report the results of a search for the bottomonium ground state etab(1S) in the photon energy spectrum with a sample of (109+/-1) million of Upsilon(3S) recorded at the Upsilon(3S) energy with the BABAR detector at the PEP-II B factory at SLAC. We observe a peak in the photon energy spectrum at Egamma=921.2(-2.8)+2.1(stat)+/-2.4(syst) MeV with a significance of 10 standard deviations. We interpret the observed peak as being due to monochromatic photons from the radiative transition Upsilon(3S)-->gammaetab(1S). This photon energy corresponds to an etab(1S) mass of 9388.9(-2.3)+3.1(stat)+/-2.7(syst) MeV/c2. The hyperfine Upsilon(1S)-etab(1S) mass splitting is 71.4(-3.1)+2.3(stat)+/-2.7(syst) MeV/c2. The branching fraction for this radiative Upsilon(3S) decay is estimated to be [4.8+/-0.5(stat)+/-1.2(syst)]x10(-4). 相似文献