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Register a new userStudy for programming the analysis of QR Using the method of Householder
دراسة برمجية لتحليل QR باستخدام طريقة Householder
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Aِl-Baath University ورقة بحثية
Publication date
2018
fields
Mathematics
and research's language is
العربية
Authors
فلك السطايحي( باحث )
Created by
Shamra Editor
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قمنا في هذا البحث بدراسة طريقة القوى التكرارية التي تسمح بحساب تقريب للقيمة الذاتية و كذلك للمتجه الذاتي المرتبط بها. كذلك درسنا طريقة القوى التكرارية العكسية التي تسمح أيضاً بالحصول على تقريب لمتجه ذاتي له قيمة ذاتية تقريبية معروفة. كما تم وصف طريقة QR التي تسمح بحساب كل القيم الذاتية بطريقة فعالة ثم أوجدنا خوارزمية لهذه الطريقة.
We have in this research study of the forces that allow the iterative approximation calculation method of eigenvalue as well as the eigenvector associated with it. Also studied the way the reverse repetitive forces that also allow to get closer to a eigenvector has intrinsic value known approximate. It has also been described QR method which allows calculation of all eigenvalues in an effective manner, then we have created an algorithm for this method.
References used
William L. Briggs, Van Emden Henson, and Steve F. McCormick. A multigrid tutorial. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, second edition, 2000
G. Golub and C. Van Loan. Matrix computations (second edition). John Hopkins, 1989
D. Luenberger. Introduction to Linear and Nonlinear Programming. Addison Wesley, 1973
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This study aims to determine the difference of householder spending values between the Syrian provinces. It also aims to find out which of the components and the various items of expenditure, that contributed significantly to the occurrence of this d
ifference and disparity between provinces , where cluster analysis method was used to find out this difference and classification .
The most important results that have been reached: The result of cluster analysis is that there are three groups of Syrian provinces , the first group included the provinces of high householder spending such as Damascus province , the second group included the provinces of medium householder spending such as: Rural Damascus , Homs , Tartus , Lattakia , Al-Sweida , Daraa , Al – Quneitra .
The third group included the provinces of low householder spending such as: Hama , Idleb , Aleppo , Al-Rakka , Deir-ez-Zor , Al-Hasakeh .
Accordingly , that most important components and variables of householder spending, which contributed to the classification of the Syrian provinces of homogeneous groups are spending on housing , spending on education , spending on health , spending on transport and communications .
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