Sankar, R and Panchapakesan, S (1970) Solution of a banded system of equations and the calculation of minimum eigen values of large matrices on a small computer. Technical Report. National Aeronautical Laboratory, Bangalore, India.
PDF
tm_pr_77.11969.pdf Restricted to Repository staff only Download (1MB) 

Indexer Terms (Generate index codes conversion from application/pdf to indexcodes)
indexcodes.txt Restricted to Repository staff only Download (5kB) 
Abstract
A Programme, developed in 'SIRIUS' autocode for solving large banded system of linear equations has been made use of to obtain minimum eigen values. The matrix of left hand side coefficients of such a system is factorized in to LU form to get the solution for the system. The difficulties experienced in programming this problem13; in 'SIRIUS' autocode are brought out here. In the problem of finding the minimum eigen values which was referred 13; to us the matrix of left hand side coefficients is singularhaving zero as a double eigenvalue. method adopted to find three of  the minimum nonzero eigen values, is the method d inverse iteration with appropriate shifting of the origin. The program developed for13; solving large banded system of equation was used in the process, since the matrix was banded. It my be noted that the selection at a suitable numerical procedure for solving problems of this type, namely inverse iteration with13; appropriate shift of origin is original and emphasis is made on solving such problems on a fairly simple and small computer.
Item Type:  Monograph (Technical Report) 

Uncontrolled Keywords:  SIRIUS;Matrix notation 
Subjects:  MATHEMATICAL AND COMPUTER SCIENCES > Computer Programming and Software 
Depositing User:  M/S ICAST NAL 
Date Deposited:  08 Nov 2006 
Last Modified:  24 May 2010 04:22 
URI:  http://nalir.nal.res.in/id/eprint/3303 
Actions (login required)
View Item 