ill-conditioned matrix

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14:54 Mar 22, 2011
English to Japanese 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
4 +1悪条件の行列
Jocelyne All (X)


  

Translations offered


12 days   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): +1
悪条件の行列


Definition from Wolfram Mathematica:
行列の条件数が大きければ,その行列は悪条件であるという.悪条件の系からは良い解は得られない.

Example sentence(s):
  • ヒルベルト行列は悪条件の行列の代表例であり、数値計算において極めて扱い辛い。 - Wikipedia  
Jocelyne All (X)
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Votes in favor of/against selecting this as the best translation of the term asked
Yes  Mami Yamaguchi
107 days
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