[R] problem to solve a matrix
Prof Brian Ripley
ripley at stats.ox.ac.uk
Tue Nov 2 17:50:13 CET 2004
On Tue, 2 Nov 2004, Eve Mathieu wrote:
> Dear R group,
>
> I have to solve a hessian matrix 40*40, called M, in order to obtain the
> standart deviations of estimators.
>
> When I use the function solve(M), I have the following error message:
> "Error in solve.default(M) : Lapack routine dgesv: system is exactly singular"
Note that a Hessian matrix is symmetric and positive definite, so
special-purpose methods are appropriate. But that warning normally means
exactly what it says: the matrix is singular and hence not invertible.
> Do you know an alternative approach which could succeed? I have found some
> information about the function "ginv" (library MASS), has someone already
> used it in such a situation?
Yes, for an exactly singular Hessian, but I knew why it was singular and
that I wanted to ignore the two singular directions since variation along
them would be removed at a later stage.
--
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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