Abstract

An extensive survey has been performed on literature related to least-squares problems developed during the last ten years in order to enlarge the scientific subroutine library (SSL). The present report introduces some of useful algorithms and programs found in the survey. It contains the mathematical analysis of complex spectra of γ-rays, pulsed-neutron data, exponential decays of radioisotopes, nuclear magnetic resonances and so on. Almost all of these programs make use of Gauss-Newton's or Marquardt's iterative algorithms in solving nonlinear equations. The programs can be easily used for the practical problems, because they have clear mathematical bases and much of them have been programmed as computer codes.

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