Last data update: 2014.03.03
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R: Row and column resolution of a matrix.
resolution | 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.
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tol |
tolerance for the singular values.
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Value
a list containing:
row |
resolution of the rows (equations).
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col |
resolution of the columns (variables).
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nsolvable |
number of solvable unknowns - the rank of the matrix.
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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
Results
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