Mar 22, 2011 14:54
13 yrs ago
English term
ill-conditioned matrix
GBK
English to Serbian
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
(Serbian)
| 5 | loše uslovljena matrica |
Mira Stepanovic
|
Change log
Mar 22, 2011 14:21: changed "Kudoz queue" from "In queue" to "Public"
Mar 22, 2011 14:54: changed "Stage" from "Preparation" to "Submission"
Mar 25, 2011 18:54: changed "Stage" from "Submission" to "Selection"
Apr 9, 2011 15:54:
Apr 22, 2011 04:54:
May 22, 2011 04:54:
Proposed translations
20 hrs
Mira Stepanovic
Serbia
Serbia
Serbia
Scientific & Tech. translator, Engineer
Native in: Serbian 
, Serbo-Croat
Works in: English to Serbian, English to Serbo-Croat, Serbian to English, and 11 more.
Related KudoZ points
:
28
loše uslovljena matrica
invertible matrix = invertibilna matrica
http://sr.wikipedia.org/wiki/Инвертибилна_матрица
У линеарној алгебри, n-са-n (квадратна) матрица A је инвертибилна или несингуларна или регуларна ако постоји n-са-n матрица B, таква да
AB = BA = In
где In означава n-са-n јединичну матрицу а множење је уобичајено множење матрица.
http://en.wikipedia.org/wiki/Invertible_matrix
In linear algebra an n-by-n (square) matrix A is called invertible or nonsingular or nondegenerate, if there exists an n-by-n matrix B such that
AB = BA = In
where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
---
condition number - uslovni broj, kondicioni broj
http://sr.wikipedia.org/wiki/Инвертибилна_матрица
У линеарној алгебри, n-са-n (квадратна) матрица A је инвертибилна или несингуларна или регуларна ако постоји n-са-n матрица B, таква да
AB = BA = In
где In означава n-са-n јединичну матрицу а множење је уобичајено множење матрица.
http://en.wikipedia.org/wiki/Invertible_matrix
In linear algebra an n-by-n (square) matrix A is called invertible or nonsingular or nondegenerate, if there exists an n-by-n matrix B such that
AB = BA = In
where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
---
condition number - uslovni broj, kondicioni broj
Definition from
own experience or research:
Za kvadratnu matricu A kažemo da je loše uslovljena ukoliko je ona invertibilna ali može da postane neinvertibilna (singularna) ukoliko se neki od njenih elemenata i najmanje promene. Uslovni broj matrice A je mera koja pokazuje koliko je matrica A loše uslovljena i može se utvrditi pomoću A i A-1. Što je uslovni broj veći, to je matrica A lošije uslovljena. Dobro uslovljene matrice imaju uslovni broj čija je vrednost bliska vrednosti 1.
Example sentences:
Sa obzirom na dimenziju matrice, ona ne deluje jako <b>loše uslovljena</b>. ... Uzrok ovolike promene je jako <b>loša uslovljenost matrice</b> sopstvenih vektora. (Matematički fakultet, Beograd)
Obzirom da je matrica B "ill-conditioned", odnosno ima veliki uslovni broj: cond(B) = ||B|| ||B-1|| a kako je: cond(B*B) = (cond(B))2 očevidno je sistem (3.6) vrlo <b>loše uslovljen</b> za male vrednosti а. (Institut "Boris Kidrič" Vinča)
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