resolution {limSolve} | R Documentation |
Given an input matrix or its singular value decomposition,
calculates the resolution of the equations (rows) and of the unknowns (columns)
of the matrix
resolution(s, tol=sqrt(.Machine$double.eps))
s |
either matrix or its singular value decomposition |
tol |
tolerance for singular values |
a list containing:
row |
resolution of the rows (equations) |
col |
resolution of the columns (variables) |
nsolvable |
number of solvable unknowns - rank of the matrix |
Karline Soetaert <k.soetaert@nioo.knaw.nl>
Dick van Oevelen<d.vanoevelen@nioo.knaw.nl>
Several references, for instance:
Menke, W., 1989. Geophysical Data Analysis: Discrete Inverse Theory. Revised edition.
International Geophysics Series. Academic Press, London.
svd
, the singluar value decomposition
resolution(matrix(nr=3,runif(9))) #3rows,3columns resolution(matrix(nr=3,runif(12))) #3rows,4columns resolution(matrix(nr=3,runif(6))) #3rows,2columns resolution(cbind(c(1,2,3),c(2,3,4),c(3,5,7))) # r3=r1+r2,c3=c1+c2