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A Nonorthogonal Fourier Expansion for Conic Decomposition

J. Barzilai and A. Ben-Tal
Mathematics of Operations Research
Vol. 6, No. 3 (Aug., 1981), pp. 363-373
Published by: INFORMS
Stable URL: http://www.jstor.org/stable/3689179
Page Count: 11
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A Nonorthogonal Fourier Expansion for Conic Decomposition
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Abstract

The problem considered is that of constructing the decomposition of a vector in a Hilbert space into two orthogonal components; one (the "projection") in a given cone, and the other in the polar cone. The projection z* can be expressed as a Fourier type expansion. An algorithm for constructing this expansion is given, and shown to converge to z*.

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