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| Title: | QR decomposition via givens rotations |
| Authors: | F. Z., Okwonu
Noor Atinah, Ahmad |
| E-mail: | atinah@cs.usm.my
okwonu4real@yahoo.com |
| Keywords: | QR decomposition
Givens rotations
Down dating
Bi-down dating
Regional Conference on Applied and Engineering Mathematics (RCAEM) |
| Issue Date: | 2-Jun-2010 |
| Publisher: | Universiti Malaysia Perlis (UniMAP) |
| Department: | Institut Matematik Kejuruteraan |
| Citation: | Vol.1(2), p.38-43 |
| Series/Report no.: | Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 |
| Abstract: | Different forms of Givens rotations have been proposed and available in the publishing industry. In this paper we derive via Pythagoras and Taylor series expansion to establish a noble ideal on the derivation of Givens rotations using elementary but classical framework to establish this novel idea. We propose an inverse Givens rotations(IGR) based on matrix inversion, the proposed IGR is application dependent and fit in easily on systolic array implementation and show similar operational characteristics with the existing methods such as the scaled GR.This technique is numerical stable and robust. |
| Description: | 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. |
| URI: | http://hdl.handle.net/123456789/10260 |
| Appears in Collections: | Conference Papers
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