Abstract:
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In neutron multiplicity counting one may fit a curve by minimizing an objective function, Chi-Square-n. The objective function includes the inverse of an n by n matrix of covariances, W. The inverse of the W matrix, W-inverse, has a closed form solution. In addition W-inverse is a tri-diagonal matrix. The closed form and tri-diagonal nature of W-inverse allows for a simpler expression of the objective function, Chi-Square-n. Minimization of this simpler expression will provide the optimal parameters for the fitted curve.
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