Geodesic
Non-convex quadratic optimization on a~parallelepiped
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 1, pp. 69-81

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The approximating-combinatorial method for solving optimization problems is used for the search for a global maximum of a quadratic function on a parallelepiped. The approximating functions in this method are majorants of an object function. The majorants are constructed on subsets of parallelepiped of admissible solutions. The method is based on a diagonal or block-diagonal $LDL^T$-factorization of a matrix of an object function. 
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     author = {E. A. Kotel'nikov},
     title = {Non-convex quadratic optimization on a~parallelepiped},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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     publisher = {mathdoc},
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     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2008_11_1_a5/}
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E. A. Kotel'nikov. Non-convex quadratic optimization on a~parallelepiped. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 1, pp. 69-81. http://geodesic.mathdoc.fr/item/SJVM_2008_11_1_a5/