[R] Matrix decomposition: orthogonal complement
Prof Brian Ripley
ripley at stats.ox.ac.uk
Tue Nov 2 15:08:20 CET 2004
On Tue, 2 Nov 2004, Florin G. Maican wrote:
> How I can compute in R the orthogonal complement of one matrix?
> If A (n x m ) matrix of full column rank (n>m), its orthogonal
> complement is denoted by A_ .
> A_ is n X (n-m) matrix of full column rank and such that A'A_=0.
It is far from unique, of course.
> I need to compute A_. How I can compute A_ in R?
Brian D. Ripley, ripley at stats.ox.ac.uk
Professor of Applied Statistics, http://www.stats.ox.ac.uk/~ripley/
University of Oxford, Tel: +44 1865 272861 (self)
1 South Parks Road, +44 1865 272866 (PA)
Oxford OX1 3TG, UK Fax: +44 1865 272595
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