[R] Matrix decomposition: orthogonal complement

Hello, How I can compute in R the orthogonal complement of one matrix? If A (n x m ) matrix of full column rank (nm), its orthogonal complement is denoted by A_ . A_ is n X (n-m) matrix of full column rank and such that A'A_=0. I need to compute A_. How I can compute A_ in R? Best

Re: [R] Matrix decomposition: orthogonal complement

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 (nm), 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

Re: [R] Matrix decomposition: orthogonal complement

How I can compute in R the orthogonal complement of one matrix? use the qr decomposition. For example: A-matrix(rnorm(40),10,4) B - t(qr.Q(qr(A),complete=TRUE)[,5:10]) B%*%A best, Simon If A (n x m ) matrix of full column rank (nm), its orthogonal complement is denoted by A_ . A_

[R] Matrix decomposition

I am looking for a manual(s) or any kind of documentation, at the introductory level, regarding matrix algebra (specifically, matrix population models). Any help will be highly appreciated Gideon Gideon Wasserberg (Ph.D.) Wildlife research unit, Department of wildlife ecology, University of

RE: [R] Matrix decomposition

I don't know anything about matrix population models, but Golub Van Loan's `Matrix Computations' is a standard reference for numerical computations with matrices. There's also David Harville's fairly recent book, `Matrix Algebra from Statisticians' Perspective'. I believe one of James Gentle's

RE: [R] Matrix decomposition

Gideon, You might look into Caswell, H. 2001. Matrix population models 2nd edition. Sinauer Associates. Caswell's book covers a majority of matrix population modeling, including some good introductory information and has general matrix manipulation as an appendix. I think most of the work

[R] Matrix Decomposition

Hi, How can one decompose the matrix M into M= W * t(W) I know of the chol() command but I am looking more for hypersphere decomposition and spectral decomposition. Thanks. Coomaren P. Vencatasawmy - [[alternative HTML version deleted]]

Re: [R] Matrix Decomposition

I think perhaps you are looking for something like symsqrt which is given on page 285 of S Poetry. Patrick Burns Burns Statistics [EMAIL PROTECTED] +44 (0)20 8525 0696 http://www.burns-stat.com (home of S Poetry and A Guide for the Unwilling S User) Coomaren Vencatasawmy wrote: Hi, How can one

Re: [R] Matrix Decomposition

I should add that there is a shar file of functions from S Poetry, so you need not type them in yourself. Pat I think perhaps you are looking for something like symsqrt which is given on page 285 of S Poetry. Patrick Burns Burns Statistics [EMAIL PROTECTED] +44 (0)20 8525 0696