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English term

Glossary-building KudoZ

ill-conditioned matrix

GBK English to Urdu Tech/Engineering 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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English term

ill-conditioned matrix

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English term

ill-conditioned matrix

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