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Inverse Eigenvalue Problems for Matrices

Thomas J. Laffey
Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences
Vol. 95A, Supplement: The Mathematical Heritage of Sir William Rowan Hamilton: Papers from a Conference (Dublin, 17-20 August 1993) (Dec., 1995), pp. 81-88
Published by: Royal Irish Academy
Stable URL: http://www.jstor.org/stable/20490189
Page Count: 8
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Inverse Eigenvalue Problems for Matrices
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Abstract

A survey of some recent results on two inverse eigenvalue problems is presented (i) completing a matrix with certain specified entries to one with specified eigenvalues and (ii) finding necessary and sufficient conditions on a list of n complex numbers in order that these numbers are the n eigenvalues of a real n × n matrix with non-negative entries.

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