resolution {limSolve}R Documentation

Row and column resolution of a matrix.

Description

Given an input matrix or its singular value decomposition,

calculates the resolution of the equations (rows) and of the unknowns (columns) of the matrix.

Usage

resolution ( s, tol=sqrt(.Machine$double.eps))

Arguments

s either a matrix or its singular value decomposition.
tol tolerance for the singular values.

Value

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.

Author(s)

Karline Soetaert <k.soetaert@nioo.knaw.nl>

Dick van Oevelen<d.vanoevelen@nioo.knaw.nl>

References

Menke, W., 1989. Geophysical Data Analysis: Discrete Inverse Theory. Revised edition. International Geophysics Series. Academic Press, London.

See Also

svd, the singluar value decomposition

Examples

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

[Package limSolve version 1.5 Index]