A Finite Algorithm for Finding the Projection of a Point onto the Canonical Simplex of R "

A Finite Algorithm for Finding the Projection of a Point onto the Canonical Simplex of R "
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发表时间:
2009
期刊:
2012 4th Workshop on Hyperspectral Image and Signal Processing (WHISPERS)
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通讯作者:
A. Fiacco
A. Fiacco
中科院分区:
其他
文献类型:
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作者:
A. Fiacco

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对于在欧几里得空间R ~中求点到典范单形的投影问题,提出了一种连续定位解的算法。该算法在有限步内收敛。每一次迭代都是找到一个点在仿射子空间上的投影,并且只需要显式和非常简单的计算。
An algorithm of successive location of the solution is developed for the problem of finding the projection of a point onto the canonical simplex in the Euclidean space R ~. This algorithm converges in a finite number of steps. Each iteration consists in finding the projection of a point onto an affine subspace and requires only explicit and very simple computations.