| 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 a matrix or its singular value decomposition. |
tol |
tolerance for the singular values. |
a list containing:
row |
resolution of the rows (equations). |
col |
resolution of the columns (variables). |
nsolvable |
number of solvable unknowns - the rank of the matrix. |
Karline Soetaert <karline.soetaert@nioz.nl>
Dick van Oevelen<dick.vanoevelen@nioz.nl>
Menke, W., 1989. Geophysical Data Analysis: Discrete Inverse Theory. Revised edition. International Geophysics Series. Academic Press, London.
svd, the singluar value decomposition
resolution (matrix(nrow = 3, runif(9))) #3rows,3columns resolution (matrix(nrow = 3, runif(12))) #3rows,4columns resolution (matrix(nrow = 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