Nearest q-Flat to m Points

P. Tseng
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P. Tseng: University of Washington

Journal of Optimization Theory and Applications, 2000, vol. 105, issue 1, No 13, 249-252

Abstract: Abstract Recently, Bradley and Mangasarian studied the problem of finding the nearest plane to m given points in ℝn in the least square sense. They showed that the problem reduces to finding the least eigenvalue and associated eigenvector of a certain n×n symmetric positive-semidefinite matrix. We extend this result to the general problem of finding the nearest q-flat to m points, with 0≤q≤n−1.

Keywords: nearest point; clustering; eigenvalues; eigenvectors (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (5)

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DOI: 10.1023/A:1004678431677

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