Efficient evaluation of the error vector in the direct inversion in the iterative subspace scheme

2006 ◽  
Vol 418 (4-6) ◽  
pp. 359-360
Author(s):  
Rustam Z. Khaliullin ◽  
Martin Head-Gordon ◽  
Alexis T. Bell
Keyword(s):  
Error Vector ◽  
Direct Inversion

Error vector choice in direct inversion in the iterative subspace method

10.1002/jcc.4 ◽  
1996 ◽  
Vol 17 (16) ◽  
pp. 1836-1847 ◽  
Author(s):  
Irina V. Ionova ◽  
Emily A. Carter
Keyword(s):  
Subspace Method ◽  
Error Vector ◽  
Direct Inversion

scholarly journals Deblending by direct inversion

Geophysics ◽  
2012 ◽  
Vol 77 (3) ◽  
pp. A9-A12 ◽  
Author(s):  
Kees Wapenaar ◽  
Joost van der Neut ◽  
Jan Thorbecke
Keyword(s):  
Inverse Problem ◽  
Seismic Data ◽  
Iterative Procedure ◽  
Inversion Process ◽  
Direct Inversion ◽  
Source Data ◽  
Band Limited ◽  
Blended Data ◽  
Simultaneous Source ◽  
Additional Constraints

Deblending of simultaneous-source data is usually considered to be an underdetermined inverse problem, which can be solved by an iterative procedure, assuming additional constraints like sparsity and coherency. By exploiting the fact that seismic data are spatially band-limited, deblending of densely sampled sources can be carried out as a direct inversion process without imposing these constraints. We applied the method with numerically modeled data and it suppressed the crosstalk well, when the blended data consisted of responses to adjacent, densely sampled sources.

scholarly journals Reconstruction of the primordial power spectrum by direct inversion

2010 ◽  
Vol 2010 (01) ◽  
pp. 016-016 ◽  
Author(s):  
Gavin Nicholson ◽  
Carlo R Contaldi ◽  
Paniez Paykari
Keyword(s):  
Power Spectrum ◽  
Direct Inversion ◽  
Primordial Power Spectrum

Direct inversion in the spectral subspace: A novel method for quantitative and qualitative analysis of chemical mixtures

2009 ◽  
Vol 47 (3) ◽  
pp. 1085-1105 ◽  
Author(s):  
Gábor Pongor ◽  
János Eőri ◽  
János Rohonczy ◽  
Zsuzsanna Kolos
Keyword(s):  
Qualitative Analysis ◽  
Chemical Mixtures ◽  
Spectral Subspace ◽  
Direct Inversion ◽  
Novel Method

Effect of Cure State on Stress Relaxation in 3501-6 Epoxy Resin

1997 ◽  
Vol 119 (3) ◽  
pp. 262-265 ◽  
Author(s):  
S. R. White ◽  
A. B. Hartman
Keyword(s):  
Stress Relaxation ◽  
Epoxy Resin ◽  
Creep Compliance ◽  
Numerical Technique ◽  
Matrix Material ◽  
Relaxation Modulus ◽  
Master Curves ◽  
Creep Tests ◽  
Three Point Bending ◽  
Direct Inversion

Little experimental work has been done to characterize how the viscoelastic properties of composite material matrix resins develop during cure. In this paper, the results of a series of creep tests carried out on 3501–6 epoxy resin, a common epoxy matrix material for graphite/epoxy composites, at several different cure states is reported. Beam specimens were isothermally cured at increasing cure temperatures to obtain a range of degrees of cure from 0.66 to 0.99. These specimens were then tested in three-point bending to obtain creep compliance over a wide temperature range. The master curves and shift functions for each degree of cure case were obtained by time-temperature superposition. A numerical technique and direct inversion were used to calculate the stress relaxation modulus master curves from the creep compliance master curves. Direct inversion was shown to be adequate for fully cured specimens, however it underpredicts the relaxation modulus and the transition for partially cured specimens. Correlations with experimental stress relaxation data from Kim and White (1996) showed that reasonably accurate results can be obtained by creep testing followed by numerical conversion using the Hopkins-Hamming method.

Direct Inversion of Rotationally Inelastic Cross Sections: Determination of the Anisotropic Ne-D2Potential

1980 ◽  
Vol 44 (21) ◽  
pp. 1397-1400 ◽  
Author(s):  
R. B. Gerber ◽  
V. Buch ◽  
U. Buck ◽  
G. Maneke ◽  
J. Schleusener
Keyword(s):  
Cross Sections ◽  
Direct Inversion

APPLICATIONS OF TWO NON-CENTRAL HYPERGEOMETRIC DISTRIBUTIONS OF BIASED SAMPLING STATISTICAL MODELS

2021 ◽  
Vol 4 (4) ◽  
pp. 415-424
Author(s):  
A. A. Issa ◽  
K. O. Adetunji ◽  
T. Alanamu ◽  
E. J. Adefila ◽  
K. A. Muhammed
Keyword(s):  
Statistical Models ◽  
Research Work ◽  
Hypergeometric Distribution ◽  
Biased Sampling ◽  
Inversion Method ◽  
Urn Model ◽  
Fisher Distribution ◽  
Direct Inversion ◽  
Mean And Variance ◽  
Hypergeometric Distributions

Statistical models of biased sampling of two non-central hypergeometric distributions Wallenius' and Fisher's distribution has been extensively used in the literature, however, not many of the logic of hypergeometric distribution have been investigated by different techniques. This research work examined the procedure of the two non-central hypergeometric distributions and investigates the statistical properties which includes the mean and variance that were obtained. The parameters of the distribution were estimated using the direct inversion method of hyper simulation of biased urn model in the environment of R statistical software, with varying odd ratios (w) and group sizes (mi). It was discovered that the two non - central hypergeometric are approximately equal in mean, variance and coefficient of variation and differ as odds ratios (w) becomes higher and differ from the central hypergeometric distribution with ω = 1. Furthermore, in univariate situation we observed that Fisher distribution at (ω = 0.2, 0.5, 0.7, 0.9) is more consistent than Wallenius distribution, although central hypergeometric is more consistent than any of them. Also, in multinomial situation, it was observed that Fisher distribution is more consistent at (ω = 0.2, 0.5), Wallenius distribution at (ω = 0.7, 0.9) and central hypergeometric at (ω = 0.2)    

DETECTING AND CORRECTING BYTE ERRORS IN DIGITAL DATA TRANSMISSION SYSTEMS

2021 ◽  
Author(s):  
А.А. ПАВЛОВ ◽  
Ю.А. РОМАНЕНКО ◽  
А.Н. ЦАРЬКОВ ◽  
А.Ю. РОМАНЕНКО ◽  
А.А. МИХЕЕВ
Keyword(s):  
Data Transmission ◽  
Digital Data ◽  
Transmission Systems ◽  
Error Vector ◽  
Time Costs ◽  
Additive Error ◽  
Syndrome Decoding ◽  
Hardware Costs

Обоснована необходимость разработки методического аппарата, связанного с построением кода, корректирующего ошибки в заданном числе байтов информации с алгебраическим синдромным декодированием и оценкой аппаратурных и временных затрат, связанных с этой целью. Представлены правила построения корректирующего кода, исправляющего ошибки в заданном числе байтов информации, реализующего линейную процедуру построения корректирующего кода с синдромным декодированием и использованием аддитивного вектора ошибок, что позволило сократить аппаратурные затраты на построение декодирующего устройства (сократить объем памяти для хранения значений векторов ошибок). Получены выражения для оценки аппаратурных затрат на кодирование и декодирование информации при использовании предлагаемого метода коррекции пакетных ошибок. The necessity of developing a methodological apparatus related to the construction of a code that corrects errors in a given number of bytes of information with algebraic syndrome decoding and the estimation of hardware and time costs associated with this purpose is justified. The rules for constructing a correction code that corrects errors in a given number of bytes of information, implementing a linear procedure for constructing a correction code with syndrome decoding and using an additive error vector, are presented. This method made it possible to reduce the hardware costs for constructing a decoding device (reducing the amount of memory for storing the values of error vectors). Expressions are obtained for estimating the hardware costs of encoding and decoding information when using the proposed method of correcting packet errors.

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