In this paper we study the real linear eigenvalue problem in C. We present results concerning the location of the eigenvalues of a real linear operator together with structured problems for which we can find the spectrum numerically reliably. We consider ways to achieve savings in computational complexity. Various classes of real linear operators are introduced among which the structure of the spectrum can be regarded, at least partially, as understood. Continuation techniques are implemented… CONTINUE READING

A normal form for a matrix under the unitary congruence group

D. C. Youla

Canad. J. Math., 13 (1961), pp. 694–704. • 2003

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Highly Influenced

M

T. Eirola

Huhtanen and J. von Pfaler, Solution methods for R–linear problems in C, Helsinki Univ. Tech. Math. Report A454, Helsinki University of Technology, Espoo, Finland • 2002