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This paper analyzes the sufficient conditions for distance reduction betweenminimizers of local nonconvex quadratic approximate functions with diagonalHessian in the (\ell^2)-norm trust regions after two iterations. Some examplesillustrate the theoretical results of this study.

Sufficient Conditions for Error Distance Reduction in the (\ell^2)-norm  Trust Region between Minimizers of Local Nonconvex Multivariate Quadratic  Approximates