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Derivative of Fixed-rank Approximations
Jan de Leeuw, Department of Statistics, UCLA
ABSTRACT: In this paper we compute the matrix derivative of the fixed-rank least squares approximation. We describe the eigen structure of the derivative and apply the result to derive an expression for the speed of convergence of iterative nonlinear principal component algorithms.
SUGGESTED CITATION: Jan de Leeuw,
"Derivative of Fixed-rank Approximations"
(September 16, 2008).
Department of Statistics, UCLA.
Department of Statistics Papers.
Paper 2008091601.
http://repositories.cdlib.org/uclastat/papers/2008091601
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