Propagation of Errors for Matrix Inversion
classification
✦ hep-ex
keywords
matrixcalculationelementserrorsformulagiveninversionpropagation
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A formula is given for the propagation of errors during matrix inversion. An explicit calculation for a 2 by 2 matrix using both the formula and a Monte Carlo calculation are compared. A prescription is given to determine when a matrix with uncertain elements is sufficiently nonsingular for the calculation of the covariances of the inverted matrix elements to be reliable.
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