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A direct method for unfolding the resolution function from measurements of neutron induced reactions
The paper explores the numerical stability and the computational efficiency of a direct method for unfolding the resolution function from the measurements of the neutron induced reactions. A detailed resolution function formalism is laid out, followed by an overview of challenges present in a practi...
| Autores principales: | , , , , , , , , |
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| Lenguaje: | eng |
| Publicado: |
2017
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1016/j.nima.2017.09.004 http://cds.cern.ch/record/2290599 |
| _version_ | 1780956355277881344 |
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| author | Žugec, P. Colonna, N. Sabate-Gilarte, M. Vlachoudis, V. Massimi, C. Lerendegui-Marco, J. Stamatopoulos, A. Bacak, M. Warren, S.G. |
| author_facet | Žugec, P. Colonna, N. Sabate-Gilarte, M. Vlachoudis, V. Massimi, C. Lerendegui-Marco, J. Stamatopoulos, A. Bacak, M. Warren, S.G. |
| author_sort | Žugec, P. |
| collection | CERN |
| description | The paper explores the numerical stability and the computational efficiency of a direct method for unfolding the resolution function from the measurements of the neutron induced reactions. A detailed resolution function formalism is laid out, followed by an overview of challenges present in a practical implementation of the method. A special matrix storage scheme is developed in order to facilitate both the memory management of the resolution function matrix, and to increase the computational efficiency of the matrix multiplication and decomposition procedures. Due to its admirable computational properties, a Cholesky decomposition is at the heart of the unfolding procedure. With the smallest but necessary modification of the matrix to be decomposed, the method is successfully applied to system of 105×105 . However, the amplification of the uncertainties during the direct inversion procedures limits the applicability of the method to high-precision measurements of neutron induced reactions. |
| id | cern-2290599 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2017 |
| record_format | invenio |
| spelling | cern-22905992023-03-14T16:54:22Zdoi:10.1016/j.nima.2017.09.004http://cds.cern.ch/record/2290599engŽugec, P.Colonna, N.Sabate-Gilarte, M.Vlachoudis, V.Massimi, C.Lerendegui-Marco, J.Stamatopoulos, A.Bacak, M.Warren, S.G.A direct method for unfolding the resolution function from measurements of neutron induced reactionsphysics.data-anComputing and Computersphysics.comp-phOther Fields of PhysicsThe paper explores the numerical stability and the computational efficiency of a direct method for unfolding the resolution function from the measurements of the neutron induced reactions. A detailed resolution function formalism is laid out, followed by an overview of challenges present in a practical implementation of the method. A special matrix storage scheme is developed in order to facilitate both the memory management of the resolution function matrix, and to increase the computational efficiency of the matrix multiplication and decomposition procedures. Due to its admirable computational properties, a Cholesky decomposition is at the heart of the unfolding procedure. With the smallest but necessary modification of the matrix to be decomposed, the method is successfully applied to system of 105×105 . However, the amplification of the uncertainties during the direct inversion procedures limits the applicability of the method to high-precision measurements of neutron induced reactions.The paper explores the numerical stability and the computational efficiency of a direct method for unfolding the resolution function from the measurements of the neutron induced reactions. A detailed resolution function formalism is laid out, followed by an overview of challenges present in a practical implementation of the method. A special matrix storage scheme is developed in order to facilitate both the memory management of the resolution function matrix, and to increase the computational efficiency of the matrix multiplication and decomposition procedures. Due to its admirable computational properties, a Cholesky decomposition is at the heart of the unfolding procedure. With the smallest but necessary modification of the matrix to be decomposed, the method is successfully applied to system of $10^5\times10^5$. However, the amplification of the uncertainties during the direct inversion procedures limits the applicability of the method to high-precision measurements of neutron induced reactions.arXiv:1710.07443oai:cds.cern.ch:22905992017-10-20 |
| spellingShingle | physics.data-an Computing and Computers physics.comp-ph Other Fields of Physics Žugec, P. Colonna, N. Sabate-Gilarte, M. Vlachoudis, V. Massimi, C. Lerendegui-Marco, J. Stamatopoulos, A. Bacak, M. Warren, S.G. A direct method for unfolding the resolution function from measurements of neutron induced reactions |
| title | A direct method for unfolding the resolution function from measurements of neutron induced reactions |
| title_full | A direct method for unfolding the resolution function from measurements of neutron induced reactions |
| title_fullStr | A direct method for unfolding the resolution function from measurements of neutron induced reactions |
| title_full_unstemmed | A direct method for unfolding the resolution function from measurements of neutron induced reactions |
| title_short | A direct method for unfolding the resolution function from measurements of neutron induced reactions |
| title_sort | direct method for unfolding the resolution function from measurements of neutron induced reactions |
| topic | physics.data-an Computing and Computers physics.comp-ph Other Fields of Physics |
| url | https://dx.doi.org/10.1016/j.nima.2017.09.004 http://cds.cern.ch/record/2290599 |
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