<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The process of identification of radioactive isotopes using gamma ray spectrum produced by scintillation detectors is a fundamental problem in physics. Military applications also require fast and efficient methods, especially in field conditions, for identifying unknown isotopes. The fundamental problem is the relationship between the observed gamma ray spectrum given by the detector and the real spectrum. This problem can be treated as a mathematical problem. The relationship between the real and the observed spectrum can be described by a linear algebraic equation system. In this article an efficient mathematical procedure is proposed to solve this linear system efficiently.</p></abstract>

The process of identification of radioactive isotopes using gamma ray spectrum produced by scintillation detectors is a fundamental problem in physics. Military applications also require fast and efficient methods, especially in field conditions, for identifying unknown isotopes. The fundamental problem is the relationship between the observed gamma ray spectrum given by the detector and the real spectrum. This problem can be treated as a mathematical problem. The relationship between the real and the observed spectrum can be described by a linear algebraic equation system. In this article an efficient mathematical procedure is proposed to solve this linear system efficiently.

Identification of Radioactive Isotopes Using Cholesky-Decomposition of Matrices

Land Forces Academy Review

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Identification of Radioactive Isotopes Using Cholesky-Decomposition of Matrices"}

The process of identification of radioactive isotopes using gamma ray spectrum produced by scintillation detectors is a fundamental problem in physics....

Identification of Radioactive Isotopes Using Cholesky-Decomposition of Matrices

Published Online: Mar 12, 2020

Page range: 76 - 84

DOI: https://doi.org/10.2478/raft-2020-0010

Keywords
gamma ray spectrum, deconvolution, Matlab Cholesky-factorization, regularization

© 2020 László Hanka, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Identification of Radioactive Isotopes Using Cholesky-Decomposition of Matrices

Published Online: Mar 12, 2020

Page range: 76 - 84

DOI: https://doi.org/10.2478/raft-2020-0010

Keywordsgamma ray spectrum, deconvolution, Matlab Cholesky-factorization, regularization

© 2020 László Hanka, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
gamma ray spectrum, deconvolution, Matlab Cholesky-factorization, regularization