[Rd] Problem in matrix definition?

[Fabio Mathias Corrêa]

I'm implementing a function to compute the moore-penrose inverse, using a code from the article: Fast Computation of Moore-Penrose Inverse Matrices. Neural Information Processing - Letters and Reviews. Vol.8, No.2, August 2005

However, the R presents an error message when I use the geninv.

The odd thing is that the error occurs for some arrays, however they have the same size. And the R indicates the lack of compatibility between the matrix!

Below is an example:
	
Creating the function geninv

geninv <- function(x)
{
 m <- dim(x)[1]
 n <- dim(x)[2]
 tr <- 0
 if(m < n) {
   a <- tcrossprod(x)
   n <- m
   tr <- 1
 }
 else  a <- crossprod(x)
 dA <- diag(a)
 tol=min(dA[dA>0])*1e-9
 L = a*0
 r = 0
 for(k in 1:n){
  r = r+1
  L[k:n,r] = a[k:n,k]-(L[k:n,1:(r-1)]%*%(t(L[k,1:(r-1)])))
  if(L[k,r] > tol){
    L[k,r] <- sqrt(L[k,r])
    if (k < n) L[(k+1):n,r] <- L[(k+1):n,r]/L[k,r]
  }
  else r <- r-1
 }
 L <- L[,1:r]
 M <- solve(crossprod(L))
 if (tr == 1) Y <- t(x)%*%L%*%M%*%M%*%t(L)
 else Y <- L%*%M%*%M%*%t(L)%*%t(x)
 return(Y)
 }
 
# Perfect result! This result is identical of the function ginv!

library(MASS)
mp <- 10
np <- 5
a <- matrix(c(1:mp*np),mp,np)
dim(a) # 10,5
geninv(a)
ginv(a)

# Problem
a <- matrix(c(1:50),mp,np) # The difference is the vector (1:50)
dim(a) # 10,5

geninv(a)
Error in L[k:n, 1:(r - 1)] %*% (t(L[k, 1:(r - 1)])) : 
  arguments are not compatible


The problem this in matrix definition?

Thanks very much!

               Fábio Mathias Corrêa
Estatística e Experimentação Agropecuária/UFLA



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