NormalsMultiplyAdd
This program modifies inputfileNormalEquation in a way that $\bar{\M x}$ is estimated instead of $\M x$. \[ \bar{\M x} := \M x + \alpha\, \M x_0, \]where $\M x_0$ is inputfileParameter and $\alpha$ is factor. This can be used to re-add reduced reference fields before a combined estimation at normal equation level. Therefore the right hand side of the normal equations is modified by \[ \bar{\M n} := \M n + \alpha\,\M N\M x_0, \]and the quadratic sum of observations by \[ \bar{\M l^T\M P\M l} := \M l^T\M P\M l + \alpha^2\,\M x_0^T\M N\M x_0 + 2\alpha\,\M x_0^T\M n \] As the normal matrix itself is not modified, rewriting of the matrix can be disabled by setting writeNormalMatrix to false.
Name | Type | Annotation |
---|---|---|
outputfileNormalEquation | filename | |
inputfileNormalEquation | filename | |
inputfileParameter | filename | x |
factor | double | alpha |
writeNormalMatrix | boolean | write full coefficient matrix, right hand sides and info files |