ill-conditioned matrix

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14:54 Mar 22, 2011

English to Catalan translations [PRO]
Tech/Engineering - Mathematics & Statistics
Additional field(s): Physics

English term or phrase: ill-conditioned matrix

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 sentence(s):

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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Summary of translations provided

matriu mal condicionada

Alistair Ian Spearing Ortiz

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matriu mal condicionada

Definition from Del plaer dels sentits al plaer de...:
Una matriu que no es pot invertir de manera correcta.

Example sentence(s):

Quan la matriu (K'K) no es pot invertir de manera correcta (<b>matriu mal condicionada</b>, amb les columnes de K colineals entre si), significa que un o més dels espectres unitaris dels constituents són similars a alguna de les combinacions lineals possibles dels espectres unitaris dels altres constituents a K. - Del plaer dels sentits al plaer de...

Alistair Ian Spearing Ortiz
Spain
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