The minimum norm method for the determination of the charge density from elastic electron scattering data

Unphysical behavior in the QR algorithm based least squares determination of the expansion coefficients of the charge density obtained from limited information about the charge form factor occurs when the spread of the singular values in the matrix relating these quantities becomes too large. Settin...

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Detalles Bibliográficos
Autores principales: Miller, H.G., Tzeng, Yiharn, Yen, G. D., Canosa, Norma Beatriz, Rossignoli, Raúl Dante, Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 1986
Materias:
Física
Ciencias Exactas
QR algorithm
singular values
analytic model
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/142136
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-142136
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Ciencias Exactas
QR algorithm
singular values
analytic model
spellingShingle Física
Ciencias Exactas
QR algorithm
singular values
analytic model
Miller, H.G.
Tzeng, Yiharn
Yen, G. D.
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Plastino, Ángel Luis
The minimum norm method for the determination of the charge density from elastic electron scattering data
topic_facet Física
Ciencias Exactas
QR algorithm
singular values
analytic model
description Unphysical behavior in the QR algorithm based least squares determination of the expansion coefficients of the charge density obtained from limited information about the charge form factor occurs when the spread of the singular values in the matrix relating these quantities becomes too large. Setting the smallest singular values equal to zero in the singular value decomposition used in the minimum norm method yields a much more reasonable determination of the charge density. Increasing the size of the basis without increasing the range of the prior information about the charge form factor leads to ambiguities in the determination of the charge density. Numerical results in an analytic model are presented.
format Articulo
Articulo
author Miller, H.G.
Tzeng, Yiharn
Yen, G. D.
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Plastino, Ángel Luis
author_facet Miller, H.G.
Tzeng, Yiharn
Yen, G. D.
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Plastino, Ángel Luis
author_sort Miller, H.G.
title The minimum norm method for the determination of the charge density from elastic electron scattering data
title_short The minimum norm method for the determination of the charge density from elastic electron scattering data
title_full The minimum norm method for the determination of the charge density from elastic electron scattering data
title_fullStr The minimum norm method for the determination of the charge density from elastic electron scattering data
title_full_unstemmed The minimum norm method for the determination of the charge density from elastic electron scattering data
title_sort minimum norm method for the determination of the charge density from elastic electron scattering data
publishDate 1986
url http://sedici.unlp.edu.ar/handle/10915/142136
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