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ill-conditioned matrix

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14:54 Mar 22, 2011
English to Czech 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
4špatně podmíněná matice
mashak (X)


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19 days   confidence: Answerer confidence 4/5Answerer confidence 4/5
špatně podmíněná matice


Definition from cvut fjfi:
"Cislo ||A|| ||A−1|| se oznacuje jako Cp a nazyva podminenost matice.
Pokud je matice A spatne podminena Cp A>>1 a i pro male chyby ve vypoctu
muzeme dostat velmi nepresne reseni. "

Example sentence(s):
  • Cislo ||A|| ||A−1|| se oznacuje jako Cp a nazyva podminenost matice. Pokud je matice A spatne podminena Cp A>>1 a i pro male chyby ve vypoctu muzeme dostat velmi nepresne reseni. - cvut fjfi  
mashak (X)
United States
Local time: 04:15
Native speaker of: Czech
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