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QR decomposition via givens rotations

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.

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Bibliographic Details
Main Authors: F. Z., Okwonu, Noor Atinah, Ahmad
Other Authors: atinah@cs.usm.my
Format: Working Paper
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2010
Subjects:
QR decomposition
Givens rotations
Down dating
Bi-down dating
Regional Conference on Applied and Engineering Mathematics (RCAEM)
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/10260
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spelling my.unimap-102602010-11-23T03:14:21Z QR decomposition via givens rotations F. Z., Okwonu Noor Atinah, Ahmad atinah@cs.usm.my okwonu4real@yahoo.com QR decomposition Givens rotations Down dating Bi-down dating Regional Conference on Applied and Engineering Mathematics (RCAEM) 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. 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. 2010-11-23T03:14:21Z 2010-11-23T03:14:21Z 2010-06-02 Working Paper Vol.1(2), p.38-43 http://hdl.handle.net/123456789/10260 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic QR decomposition
Givens rotations
Down dating
Bi-down dating
Regional Conference on Applied and Engineering Mathematics (RCAEM)
spellingShingle QR decomposition
Givens rotations
Down dating
Bi-down dating
Regional Conference on Applied and Engineering Mathematics (RCAEM)
F. Z., Okwonu
Noor Atinah, Ahmad
QR decomposition via givens rotations
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.
author2 atinah@cs.usm.my
author_facet atinah@cs.usm.my
F. Z., Okwonu
Noor Atinah, Ahmad
format Working Paper
author F. Z., Okwonu
Noor Atinah, Ahmad
author_sort F. Z., Okwonu
title QR decomposition via givens rotations
title_short QR decomposition via givens rotations
title_full QR decomposition via givens rotations
title_fullStr QR decomposition via givens rotations
title_full_unstemmed QR decomposition via givens rotations
title_sort qr decomposition via givens rotations
publisher Universiti Malaysia Perlis (UniMAP)
publishDate 2010
url http://dspace.unimap.edu.my/xmlui/handle/123456789/10260
_version_ 1643789780777959424
score 13.222552

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