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41.
Merico E. Argentati Andrew V. Knyazev Klaus Neymeyr Evgueni E. Ovtchinnikov Ming Zhou 《Foundations of Computational Mathematics》2017,17(3):713-727
Preconditioned iterative methods for numerical solution of large matrix eigenvalue problems are increasingly gaining importance in various application areas, ranging from material sciences to data mining. Some of them, e.g., those using multilevel preconditioning for elliptic differential operators or graph Laplacian eigenvalue problems, exhibit almost optimal complexity in practice; i.e., their computational costs to calculate a fixed number of eigenvalues and eigenvectors grow linearly with the matrix problem size. Theoretical justification of their optimality requires convergence rate bounds that do not deteriorate with the increase of the problem size. Such bounds were pioneered by E. D’yakonov over three decades ago, but to date only a handful have been derived, mostly for symmetric eigenvalue problems. Just a few of known bounds are sharp. One of them is proved in doi: 10.1016/S0024-3795(01)00461-X for the simplest preconditioned eigensolver with a fixed step size. The original proof has been greatly simplified and shortened in doi: 10.1137/080727567 by using a gradient flow integration approach. In the present work, we give an even more succinct proof, using novel ideas based on Karush–Kuhn–Tucker theory and nonlinear programming. 相似文献
42.
E. M. Antipov Yu. A. Lebedev A. V. Rebrov S. A. Kuptsov P. M. Pakhomov V. P. Galitsin 《Polymer Science Series A》2007,49(6):663-670
Structural transformations of UHMWPE-based fibers prepared by orientational drawing have been studied by the combination of SAXS and WAXS methods, photo- and diffractometry, and isometric DSC measurements in a wide temperature range. A sequence of phase transformations and other structural changes has been followed and identified during the orientational deformation of the fibers in a wide range of draw ratios from 1 to 85 within the temperature interval from room temperature to the melting temperature of the polymer. 相似文献
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A.B. Antipov A.D. Bykov V.A. Kapitanov V.P. Lopasov Yu.S. Makushkin V.I. Tolmachev O.N. Ulenikov V.E. Zuev 《Journal of Molecular Spectroscopy》1981,89(2):449-459
The paper gives the results of investigation of the water-vapor absorption spectrum in the range of 586.9–596.6 nm. In the given range, 282 water-vapor absorption lines were recorded and were identified as belonging to the bands 4ν1 + ν3, 3ν1 + 2ν2 + ν3, 3ν1 + 2ν3. Theoretical justification of the technique for interpreting the observed spectrum was made. The values of more vibration-rotation levels of energy were determined: for state (401) up to J = 10, for state (321) up to J = 10, and for state (302) up to J = 8. The rotational and centrifugal constants of the reduced Watson's Hamiltonian for the vibrational states (401), (321), (302), and (222) and constants of Fermi resonance (401)-(321), (302)-(222), and Coriolis resonance between the states (401), (321), and (302), (222) were determined. 相似文献
48.
Roman V. Shpanchenko Enrique E. Kaul Christoph Geibel Evgeny V. Antipov 《Acta Crystallographica. Section C, Structural Chemistry》2006,62(10):i88-i90
The structure of dilead vanadium oxide bis(phosphate) contains corrugated layers formed by VO5 square pyramids oriented in opposite directions in a chessboard fashion. The pyramids are connected by tetrahedral PO4 groups. The layers are separated by the Pb atoms and isolated PO4 tetrahedra. 相似文献
49.
S. A. Antipov I. L. Bataronov A. I. Drozhzhin A. P. Ermakov A. M. Roshchupkin M. I. Starovikov 《Russian Physics Journal》1988,31(8):671-675
We investigated the kinetics of spontaneous torsion in filamentary crystals during plastic deformation by a tensile load. The nature of the observed effect is discussed.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 76–81, August, 1988. 相似文献
50.
Conclusions The additives triethylamine, pyridine, imidazole,-aminopyridine, and tris (hydroxy-methyl)aminomethane exert a promoting effect on the carbonylation of m-fluoronitrobenzene in the presence of selenourea.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 6, pp. 1427–1428, June, 1984. 相似文献