Solution of a banded system of equations and the calculation of minimum eigen values of large matrices on a small computer

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.

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    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 singular-having zero as a double eigenvalue. method adopted to find three of - the minimum non-zero 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: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: SIRIUS;Matrix notation
    Subjects: MATHEMATICAL AND COMPUTER SCIENCES > Computer Programming and Software
    Division/Department: Propulsion Division, Propulsion Division
    Depositing User: M/S ICAST NAL
    Date Deposited: 08 Nov 2006
    Last Modified: 24 May 2010 09:52
    URI: http://nal-ir.nal.res.in/id/eprint/3303

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