Difference of convex functions optimization algorithms (DCAs) for globally minimizing nonconvex quadratic forms on Euclidean balls and spheres

Difference of convex functions optimization algorithms (DCAs) for globally minimizing nonconvex quadratic forms on Euclidean balls and spheres

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Article ID: iaor19981477
Country: Netherlands
Volume: 19
Issue: 5
Start Page Number: 207
End Page Number: 216
Publication Date: Nov 1996
Journal: Operations Research Letters
Authors: ,
Abstract:

We present difference of convex functions optimization algorithms (DCA) for globally minimizing quadratic forms on Euclidean balls and spheres. Since these problems admit at most one local–nonglobal minimizer, DCA converges in general to a solution for these problems. Numerical simulations show robustness, stability and efficiency of DCA with respect to related standard methods.

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