Nonnegative constraint quadratic program technique to enhance the resolution of γ spectra
Abstract
Two concepts of the nonnegative least squares problem (NNLS) and the linear complementarity problem (LCP) are introduced for the resolution enhancement of the γ spectra. The respective algorithms such as the active set method and the primal-dual interior point method are applied to solve the above two problems. In mathematics, the nonnegative constraint results in the sparsity of the optimal solution of the deconvolution, and it is this sparsity that enhances the resolution. Finally, a comparison in the peak position accuracy and the computation time is made between these two methods and the boosted L_R and Gold methods.
- Publication:
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Nuclear Instruments and Methods in Physics Research A
- Pub Date:
- April 2018
- DOI:
- 10.1016/j.nima.2018.01.022
- Bibcode:
- 2018NIMPA.887..169L
- Keywords:
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- γ spectra enhancement;
- Nonnegative least squares problem;
- Linear complementarity problem;
- Active set method;
- Primal-dual interior point method