NDLI: Hardware design of an eigensolver based on the QR method

Content Provider	Springer Nature Link
Author	Guerrero Ramírez, Jorge E. Velasco Medina, Jaime Arce, Julio C.
Copyright Year	2014
Abstract	Eigenvalue computation is essential in many fields of science and engineering; however a lot of computation resources are required for computing all the eigenvalues of medium and large matrices. One of the most famous methods that computes all the eigenvalues and the eigenvectors is the QR method, which is widely used for small eigenvalue problems and as a complementary method in projection methods that solve eigenvalue problems of large matrices. In this paper we present the design of a QR eigensolver based on a triangular semi-systolic architecture, which performs the basic QR algorithm for symmetric matrices. In this case, the semi-systolic array is designed to perform the QR decomposition and the multiplication of any matrix by the matrix Q, such that the QR algorithm is implemented without using codesign.
Starting Page	125
Ending Page	134
Page Count	10
File Format	PDF
ISSN	09251030
Journal	Analog Integrated Circuits and Signal Processing
Volume Number	82
Issue Number	1
e-ISSN	15731979
Language	English
Publisher	Springer US
Publisher Date	2014-11-25
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	QR method Systolic array Eigenvalue computation Givens rotations Cordic Circuits and Systems Electrical Engineering Signal, Image and Speech Processing
Content Type	Text
Resource Type	Article
Subject	Surfaces, Coatings and Films Signal Processing Hardware and Architecture

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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