Mar 22, 2011 14:54
13 yrs ago
English term
ill-conditioned matrix
GBK
English to Finnish
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)
Proposed translations
(Finnish)
| 4 | häiriöaltis matriisi |
Asta Haarasilta
|
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Proposed translations
217 days
Asta Haarasilta
Accurate professional services
Native in: Finnish 
Works in: Italian to Finnish, English to Finnish, Finnish to Italian
häiriöaltis matriisi
PS. Pdf-lähteiden kanssa ainakin minulla oli vaikeuksia ääkkösten kanssa eli käytä ilman ääkkösiä olevaa osaa, jotta haettava kohta löytyy helpommin!
Definition from
CSC – Tieteellinen laskenta Oy:
Matriisin häiriöalttius κ(A) (condition number) kertoo, miten herkkä lineaarisen yhtälöryhmän ratkaisu on lähtötiedoissa esiintyville virheille.
Example sentences:
Tässä tapauksessa matriisin sanotaan olevan hyvin häiriöaltis, ts. pieni muutos oikean puolen vektorissa voi aiheuttaa matriisia käännettäessä hyvin suuren muutoksen ratkaisuvektorissa x. (Helsingin yliopisto)
Näin vältetään häiriöaltis (”ill-conditioned”) tilanne. (Lappeenrannan teknillinen yliopisto)
Tunnettu häirilaltis matriisi on ns ’Hilbertin matriisi’, joka esiintyy myös sovelluksissa. (Jyväskylän yliopisto)
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