Mar 22, 2011 14:55
13 yrs ago
English term

ill-conditioned matrix

GBK English to Swedish Tech/Engineering Mathematics & Statistics
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)
Proposed translations (Swedish)
5 illakonditionerad matris
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Proposed translations

57 mins

illakonditionerad matris

Andra möjliga översättningar av ill-conditioned är "känslig", "okonditionerad", "störningskänslig".
Definition from own experience or research:
En illakonditionerad matris är en matris som kan påverka en lösning mycket vid små ändringar i indata.
Example sentences:
Hilbertmatriser är ett exempel på illakonditionerade matriser. (Lunds tekniska högskola)
James H. Wilkinson, som 1963 demonstrerade möjligheten för polynom med välseparerade rötter att vara illakonditionerade, beskrev upptäckten som sin "mest traumatiska upplevelse i karriären som numerisk analytiker". (Wikipedia)
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