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The Quarterly Journal of Mechanics and Applied Mathematics 1960 13(4):508-512; doi:10.1093/qjmam/13.4.508
© 1960 by Oxford University Press
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SOLVING AN ALGEBRAIC EQUATION BY DETERMINING HIGH POWERS OF AN ASSOCIATED MATRIX USING THE CAYLEY—HAMILTON THEOREM

E.V. KRISHNAMURTHY

( Department of Physics, University of Madras 25, India )

This paper describes a method of solving an algebraic equation by determining high powers of an associated matrix using the Cayley— Hamilton theorem. The method described will be found to have practical applications to linear equation analogue computers for finding the zeros of polynomials.


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