R: Row and column resolution of a matrix.

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 <karline.soetaert@nioz.nl>

Dick van Oevelen<dick.vanoevelen@nioz.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(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

[Package limSolve version 1.5.6 Index]