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Gradient-Type Algorithms for Partial Singular Value Decomposition

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2 Author(s)
Haimi-Cohen, Raziel ; Department of Electrical and Computer Engineering, Ben-Gurion University, Beer-Sheva, Israel; Tadiran, Inc., Telecommunication Divison, P. O. B. 500, Petah Tikva 49104, Israel. ; Cohen, Arnon

It is often desirable to calculate only a few terms of the SVD expansion of a matrix, corresponding to the largest or smallest singular values. Two algorithms, based on gradient and conjugate gradient search, are proposed for this purpose. SVD is computed term by term in a decreasing or increasing order of singular values. The algorithms are simple to implement and are especially advantageous with large matrices.

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:PAMI-9 ,  Issue: 1 )