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Spectral Decomposition of a General J-Hermitian Matrix

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2023)

Abstract

A general J-Hermitian matrix A may not have a basis of eigenvectors. In this chapter we describe the reduction to a block-diagonal form by a similarity transformation S -1 AS. We pay particular attention to the problem of the condition number of the transformation matrix S which is a key quantity in any numerical manipulation.

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Correspondence to Krešimir Veselić .

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© 2011 Springer-Verlag Berlin Heidelberg

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Veselić, K. (2011). Spectral Decomposition of a General J-Hermitian Matrix. In: Damped Oscillations of Linear Systems. Lecture Notes in Mathematics(), vol 2023. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21335-9_12

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