ill-conditioned matrix

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14:55 Mar 22, 2011
English to Persian (Farsi) 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
4ماتريس بد وضع
Abas Dehnad


  

Translations offered


335 days   confidence: Answerer confidence 4/5Answerer confidence 4/5
ماتريس بد وضع


Definition from own experience or research:
ماتريس بد وضع اشاره به شرايط تكين و معكوس ناپذيري ماتريس دارد

Example sentence(s):
  • پس از گسسته سازي اين نوع مسايل تقريبا تمامي آنها منجر به حل يك دستگاه معادلات خطي مي شوند كه ماتريس ضرايب آنها بد وضع است (عدد حالت ماتريس ضرايب بزرگ است - مقالات پایگاه علمی هم�  

Explanation:
مقاله
حل دستگاه معادلات خطي به كمك بهينه ‌سازي
نشریه
نشريه علوم(دانشگاه تربيت معلم) بهار و تابستان 1381

نویسنده
بابليان اسماعيل
Abas Dehnad
Local time: 23:28
Native speaker of: Native in Persian (Farsi)Persian (Farsi), Native in KurdishKurdish
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