Mar 22, 2011 14:55
13 yrs ago
English term
ill-conditioned matrix
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Mathematics & Statistics
Definition from
Washington State University - Math:
We call a square matrix A ill-conditioned if it is invertible but can become non-invertible (singular) if some of its entries are changed ever so slightly. The condition number of A is a measure of how
ill-conditioned A is and can be found using A and A-1. The bigger the condition number is the more ill-conditioned A is. Well-conditioned matrices have condition numbers close to 1.
Example sentences:
Ill-conditioned matrices and matrix condition numbers are discussed and an efficient and reliable indicator of ill-conditioned matrices is suggested (WILEY online Library)
Conditioning (9.11.) [TB, Lect. 12] examples for cancellation and an ill-conditioned matrix. (Technische Universität München, WS 201)
The condition number is a measure of stability or sensitivity of a matrix (or the linear system it represents) to numerical operations. In other words, we may not be able to trust the results of computations on an ill-conditioned matrix. (Planet Math.org)
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