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|Type:||Artigo de periódico|
|Title:||Reformulation in mathematical programming: An application to quantum chemistry|
|Abstract:||This paper concerns the application of reformulation techniques in mathematical programming to a specific problem arising in quantum chemistry, namely the solution of Hartree-Fock systems of equations, which describe atomic and molecular electronic wave functions based on the minimization of a functional of the energy. Their traditional solution method does not provide a guarantee of global optimality and its output depends on a provided initial starting point. We formulate this problem as a multi-extremal nonconvex polynomial programming problem, and solve it with a spatial Branch-and-Bound algorithm for global optimization. The lower bounds at each node are provided by reformulating the problem in such a way that its convex relaxation is tight. The validity of the proposed approach was established by successfully computing the ground-state of the helium and beryllium atoms. (C) 2007 Elsevier B.V. All rights reserved.|
|Editor:||Elsevier Science Bv|
|Citation:||Discrete Applied Mathematics. Elsevier Science Bv, v. 157, n. 6, n. 1309, n. 1318, 2009.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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