## An iterative unfolding method for response matrices |

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25 CHANNEL NUMBER 80 Iterations application arbitrarily arise arresting condition assumption choice condition for convergence Conditions iiia Consequently Constant 9 13 converge to zero corresponding define diagonal matrix Different Initial Vectors error function exact solution examine exist experimental measurement follows from Eq Fredholm equation Frobenius Theorem given detection system given in Eq Hence iiic ill-conditioned initial vector given input vector iteration process Iterative Approximations X-(10 Lemma matrix representation minimize the error Moreover NEUTRON DETECTOR neutron energy Neutron Spectrum Obtained nonnegative matrix nonnegative subspace norm order approximation output vector physical implications positive definite response positive eigenvector positive lower bound positive vector possess a positive quadratic form rate of convergence reduced system residual vector response matrix result satisfy Eq satisfying Conditions small peak solution is assured solution of Eq subset subsidiary conditions sufficiently large thermal neutron tion triangular response matrices unfolding problem upper triangular matrix vector that satisfies vergence