eScholarship Repository eScholarship Repository California Digital Library
eScholarship > UCLASTAT > PAPERS > Paper 2008091601

Statistics Papers

Statistics Website

Policies

Search Statistics

Submit a Paper

Notify me of new papers

institute_logo

Department of Statistics, UCLA
University of California, Los Angeles

Statistics Papers  •  Statistics Website  •  Policies  •  Search Statistics  •  Submit a Paper

Derivative of Fixed-rank Approximations
Jan de Leeuw, Department of Statistics, UCLA

Download the Paper (499 K, PDF file) - September 16, 2008 Tell a colleague about it.
Printing Tips: Select 'print as image' in the Acrobat print dialog if you have trouble printing.

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

 
bar
Open Archives Initiative eScholarship is a service of the California Digital Library bepress