Study for programming the analysis of QR Using the method of Householder
published by Aِl-Baath University
in 2018
in Mathematics
and research's language is
العربية
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Abstract in English
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