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ill-conditioned matrix

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14:55 Mar 22, 2011
English to Swedish 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
5illakonditionerad matris
Roger Sjölander


  

Translations offered


57 mins   confidence: Answerer confidence 5/5
illakonditionerad matris


Definition from own experience or research:
En illakonditionerad matris är en matris som kan påverka en lösning mycket vid små ändringar i indata.

Example sentence(s):
  • 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  

Explanation:
Andra möjliga översättningar av ill-conditioned är "känslig", "okonditionerad", "störningskänslig".
Roger Sjölander
Sweden
Local time: 06:04
Native speaker of: Native in SwedishSwedish
PRO pts in category: 4
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