Published September 1, 2000 | Version v1
Journal article

Propagation of errors for matrix inversion

Description

A formula is given for the propagation of errors during matrix inversion. An explicit calculation for a 2x2 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

Additional details

Identifiers

PII
S0168900200003235;

Publishing Information

Journal Title
Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment
Journal Volume
451
Journal Issue
2
Journal Page Range
p. 520-528
ISSN
0168-9002
CODEN
NIMAER

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
34041130
Subject category
S99: GENERAL AND MISCELLANEOUS;
Descriptors DEI
BRANCHING RATIO; DATA COVARIANCES; MATHEMATICAL MODELS; MATRIX ELEMENTS; MONTE CARLO METHOD
Descriptors DEC
CALCULATION METHODS

Optional Information

Copyright
Copyright (c) 2000 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.