Title :
The Computer Realization of the QR Decomposition on Matrices with Full Column Rank
Author :
Feng Tianxiang ; Liu Hongxia
Author_Institution :
Dept. of Basic Courses, Dongguan Coll., Dongguan, China
Abstract :
The QR decomposition of matrix is an especial tool for matrix calculation, although its decomposition process is very complex. Some specified n-1 components of the n-dimensional nonzero vector x need to be transformed into zeros by using householder transformation many times. Or a special kind of given transformation would be used repeatedly to transform one specified component of the vector x into zero. In this paper, the elementary transformation method for solving the QR decomposition expression of matrix is presented; meanwhile, the QR decomposition expression of matrix is also obtained by using Doolittle decomposition method.
Keywords :
matrix decomposition; Doolittle decomposition method; QR decomposition; elementary transformation method; full column rank; householder transformation; matrix calculation; matrix decomposition process; n-dimensional nonzero vector; Algebra; Computational intelligence; Computer security; Data mining; Educational institutions; Interference; Matrix decomposition; Narrowband; Signal detection; Symmetric matrices;
Conference_Titel :
Computational Intelligence and Security, 2009. CIS '09. International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-5411-2
DOI :
10.1109/CIS.2009.54
