What is it about?
This paper offers three constructive techniques to realise lists of complex numbers. In particular the companion matrix is utilised to great effect.
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Why is it important?
The techniques here offer a relatively simple necessary and sufficient condition for three non-zero numbers (including a non-real complex conjugate pair) to be realised with the addition of just one zero.
Perspectives
Researchers in the area may find the techniques introduced here to be of use and hopefully build upon them to realise a more general class of spectra.
Anthony Cronin
University College Dublin
Read the Original
This page is a summary of: Constructive methods for spectra with three nonzero elements in the nonnegative inverse eigenvalue problem, Linear and Multilinear Algebra, March 2017, Taylor & Francis,
DOI: 10.1080/03081087.2017.1301361.
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