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Conjugate Gradient algorithm

Arabic translation: لوغاريتم اتجاهات الميل المترافقة

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
English term or phrase:Conjugate Gradient algorithm
Arabic translation:لوغاريتم اتجاهات الميل المترافقة
Entered by: Shazly

14:34 Aug 7, 2008
English to Arabic translations [PRO]
Textiles / Clothing / Fashion / Garments simulation
English term or phrase: Conjugate Gradient algorithm
Our system implements a modified version of the ***Conjugate Gradient algorithm*** for the linear system resolution, which embeds dynamic evaluation of the force derivatives corresponding to the current state of the mechanical system, without explicit construction of the matrix [VOL 00].
Neamaat Shehatah
Egypt
Local time: 04:37
لوغاريتم اتجاهات الميل المترافقة
Explanation:
طريقة تكرارية لحل منظومة معادلات خطية عددها ن في ن من المجاهيل وتنتهي بعد ن من الخطوات إذا لم يكن هناك خطأ تراكمي، وتبدأ هذه الطريقة بتقدير أولي لمتجه الحل تعقبه خطوات تصحيح في اتجاهين مترافقين بالنسبة لمصفوفة المعاملات، تختار تتابعياً

Conjugate gradient method
In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is symmetric and positive definite. The conjugate gradient method is an iterative method, so it can be applied to sparse systems which are too large to be handled by direct methods such as the Cholesky decomposition. Such systems arise regularly when numerically solving partial differential equations.
Selected response from:

Shazly
Egypt
Local time: 04:37
Grading comment
4 KudoZ points were awarded for this answer



Summary of answers provided
4لوغاريتم اتجاهات الميل المترافقة
Shazly
4متوالية/سلسة التوابع الخطية المائلة
Moodi


  

Answers


26 mins   confidence: Answerer confidence 4/5Answerer confidence 4/5
conjugate gradient algorithm
لوغاريتم اتجاهات الميل المترافقة


Language variant: طريقة اتجاهات الميل المترافقة

Explanation:
طريقة تكرارية لحل منظومة معادلات خطية عددها ن في ن من المجاهيل وتنتهي بعد ن من الخطوات إذا لم يكن هناك خطأ تراكمي، وتبدأ هذه الطريقة بتقدير أولي لمتجه الحل تعقبه خطوات تصحيح في اتجاهين مترافقين بالنسبة لمصفوفة المعاملات، تختار تتابعياً

Conjugate gradient method
In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is symmetric and positive definite. The conjugate gradient method is an iterative method, so it can be applied to sparse systems which are too large to be handled by direct methods such as the Cholesky decomposition. Such systems arise regularly when numerically solving partial differential equations.


Shazly
Egypt
Local time: 04:37
Native speaker of: Native in ArabicArabic
PRO pts in category: 71
Notes to answerer
Asker: The explanation is perfect, but are you sure that this is the Arabic term used in the field?

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16 hrs   confidence: Answerer confidence 4/5Answerer confidence 4/5
conjugate gradient algorithm
متوالية/سلسة التوابع الخطية المائلة


Explanation:
.

Moodi
Local time: 05:37
Native speaker of: Native in ArabicArabic
PRO pts in category: 11
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