A Non-Orthogonal Fourier Expansion for Conic Decomposition

机译：圆锥分解的非正交Fourier展开式

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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*. (Author)

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Barzilai, J.; Ben-Tal, A.;
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年度 1980
页码 p.1-31
总页数 31
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Projective geometry; Vector spaces; Hilbert space; Decomposition; Orthogonality; Conical bodies; Optimization; Convex bodies; Fourier series; Convergence; Quadratic programming; Algorithms; Theorems;

机译：射影几何;向量空间; Hilbert空间;分解;正交性;锥体;优化;凸体;傅立叶级数;收敛;二次规划;算法;定理;

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A Non-Orthogonal Fourier Expansion for Conic Decomposition

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