%0 Journal Article %1 Lefebvre1999Propagation %A Lefebvre, M. %A Keeler, R. K. %A Sobie, R. %A White, J. %D 1999 %J Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment %K statistics %N 2 %P 520--528 %R 10.1016/s0168-9002(00)00323-5 %T Propagation of Errors for Matrix Inversion %U http://dx.doi.org/10.1016/s0168-9002(00)00323-5 %V 451 %X 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.

@article{Lefebvre1999Propagation, abstract = {{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.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Lefebvre, M. and Keeler, R. K. and Sobie, R. and White, J.}, biburl = {https://www.bibsonomy.org/bibtex/27a9f929a46b4e651d3fc3e82929ee9af/cmcneile}, citeulike-article-id = {1604839}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-ex/9909031}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-ex/9909031}, citeulike-linkout-2 = {http://dx.doi.org/10.1016/s0168-9002(00)00323-5}, citeulike-linkout-3 = {http://www.sciencedirect.com/science/article/B6TJM-411X7X5-G/2/de98438b478911b08b696597946a180a}, day = 17, doi = {10.1016/s0168-9002(00)00323-5}, eprint = {hep-ex/9909031}, interhash = {ed35f8279d73726d07e85b3581b566ad}, intrahash = {7a9f929a46b4e651d3fc3e82929ee9af}, issn = {01689002}, journal = {Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment}, keywords = {statistics}, month = sep, number = 2, pages = {520--528}, posted-at = {2017-03-14 15:38:41}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Propagation of Errors for Matrix Inversion}}, url = {http://dx.doi.org/10.1016/s0168-9002(00)00323-5}, volume = 451, year = 1999 }