DocumentCode
1346716
Title
On the Inversion of Ill-Conditioned Matrices
Author
McLean, A.L.
Author_Institution
Mathematics Department; Caulfield Institute of Technology; Caulfield East, Victoria 3145 AUSTRALIA.
Issue
5
fYear
1980
Firstpage
427
Lastpage
428
Abstract
A recent paper presented a modification of the Gauss-Jordan method for inverting a matrix which avoids loss of accuracy due to a type of ill-conditioning which leads to subtractive cancellation. This paper shows the relationship between the standard and modified techniques, and why and when the latter is effective.
Keywords
Algebra; Australia; Equations; Gaussian processes; Mathematics; Matrix converters; Operations research; Reliability; Roundoff errors; Statistics; Ill conditioning; Matrix inversion; Numerical accuracy;
fLanguage
English
Journal_Title
Reliability, IEEE Transactions on
Publisher
ieee
ISSN
0018-9529
Type
jour
DOI
10.1109/TR.1980.5220912
Filename
5220912
Link To Document