Method of convergent weights — An iterative procedure for solving Fredholm's integral equations of the first kind

Kondor, A.

doi:10.1016/0167-5087(83)90348-4

Cited by 44 publications

(30 citation statements)

References 1 publication

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“…To account for this event migration, an iterative unfolding procedure [31] is used to correct the number of observed events. It is described in detail in our publication on the proton flux [16].…”

Section: Prl 117 091103 (2016) P H Y S I C a L R E V I E W L E T T Ementioning

confidence: 99%

Antiproton Flux, Antiproton-to-Proton Flux Ratio, and Properties of Elementary Particle Fluxes in Primary Cosmic Rays Measured with the Alpha Magnetic Spectrometer on the International Space Station

Aguilar¹,

Cavasonza²,

Alpat³

et al. 2016

Phys. Rev. Lett.

472

560

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International audienceA precision measurement by AMS of the antiproton flux and the antiproton-to-proton flux ratio inprimary cosmic rays in the absolute rigidity range from 1 to 450 GV is presented based on 3.49 × 105antiproton events and 2.42 × 109 proton events. The fluxes and flux ratios of charged elementary particlesin cosmic rays are also presented. In the absolute rigidity range ∼60 to ∼500 GV, the antiproton ¯p, protonp, and positron eþ fluxes are found to have nearly identical rigidity dependence and the electron e− fluxexhibits a different rigidity dependence. Below 60 GV, the ( ¯ p=p), ( ¯ p=eþ), and (p=eþ) flux ratios eachreaches a maximum. From ∼60 to ∼500 GV, the ( ¯ p=p), ( ¯ p=eþ), and (p=eþ) flux ratios show no rigiditydependence. These are new observations of the properties of elementary particles in the cosmos

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Section: Prl 117 091103 (2016) P H Y S I C a L R E V I E W L E T T Ementioning

confidence: 99%

Antiproton Flux, Antiproton-to-Proton Flux Ratio, and Properties of Elementary Particle Fluxes in Primary Cosmic Rays Measured with the Alpha Magnetic Spectrometer on the International Space Station

Aguilar¹,

Cavasonza²,

Alpat³

et al. 2016

Phys. Rev. Lett.

472

560

View full text Add to dashboard Cite

show abstract

“…(6) Fig. 4.8b gives an estimate of the accuracy of the unfolding method by comparing two completely di erent deconvolution techniques [43][44][45]47]: A: The solution of an overdetermined system of linear equations by a method of converged weights [37]. B: "Classical" unfolding by regularization, namely minimization of the function [47]:…”

Section: Erential Uxesmentioning

confidence: 99%

“…These functions were checked at several energy points by test beam measurements. The data were unfolded using a method based on Bayes' theorem [43][44][45], which used an iterative procedure (and not a "regularized unfolding") to overcome instability of the matrix inversion due to negative terms. As an example, Fig.…”

Section: Erential Uxesmentioning

confidence: 99%

The Alpha Magnetic Spectrometer (AMS) on the International Space Station: Part I – results from the test flight on the space shuttle

Aguilar¹,

Alcaraz²,

et al. 2002

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“…The possibility to apply an iterative procedure to the analysis of a decay curve of delayed neutron activity was demonstrated elsewhere [13] for the first time using the method of convergent weights [14][15][16][17]. This method is compared below with the method of incremental deconvolution.…”

Section: Methods Of Incremental Deconvoiutionmentioning

confidence: 99%

Yields of Delayed Neutron Precursors in the Fission of Actinides

et al. 1992

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Neutron induced fission / " 'Th / "3,235.236, / 249cf / Delayed neutron precursors / Cumulative yield AbstractThe cumulative yields of 8 delayed neutron precursors were determined in the fission of "®Th, 236,238u^ 237Np^ 240.24i.242py^ 2'^9cf induced by neutrons of various energies. The measurements were performed using a cyclic Irradiation regime. For the decomposition of the complex neutron decay curve an incremental deconvoiution method was used. 105 of 128 cumulative yields were measured for the first time. The data obtained are compared to calculated and measured values from the literature.

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Method of convergent weights — An iterative procedure for solving Fredholm's integral equations of the first kind

Cited by 44 publications

References 1 publication

Antiproton Flux, Antiproton-to-Proton Flux Ratio, and Properties of Elementary Particle Fluxes in Primary Cosmic Rays Measured with the Alpha Magnetic Spectrometer on the International Space Station

Antiproton Flux, Antiproton-to-Proton Flux Ratio, and Properties of Elementary Particle Fluxes in Primary Cosmic Rays Measured with the Alpha Magnetic Spectrometer on the International Space Station

The Alpha Magnetic Spectrometer (AMS) on the International Space Station: Part I – results from the test flight on the space shuttle

Yields of Delayed Neutron Precursors in the Fission of Actinides

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