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Register a new userElementary symmetric functions of two solvents of a quadratic matrix equation
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Added by
Anastasia Jivulescu
Publication date
2008
fields
Physics
and research's language is
English
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No Arabic abstract
Quadratic matrix equations occur in a variety of applications. In this paper we introduce new permutationally invariant functions of two solvents of the n quadratic matrix equation X^2- L1X - L0 = 0, playing the role of the two elementary symmetric functions of the two roots of a quadratic scalar equation. Our results rely on the connection existing between the QME and the theory of linear second order difference equations with noncommutative coefficients. An application of our results to a simple physical problem is briefly discussed.
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