Displaying similar documents to “The Gerschgorin discs under unitary similarity”

First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods

Heinz Toparkus (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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In this paper we consider first-order systems with constant coefficients for two real-valued functions of two real variables. This is both a problem in itself, as well as an alternative view of the classical linear partial differential equations of second order with constant coefficients. The classification of the systems is done using elementary methods of linear algebra. Each type presents its special canonical form in the associated characteristic coordinate system. Then you can formulate...

On the separation of eigenvalues by the permutation group

Grega Cigler, Marjan Jerman (2014)

Special Matrices

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Let A be an invertible 3 × 3 complex matrix. It is shown that there is a 3 × 3 permutation matrix P such that the product PA has at least two distinct eigenvalues. The nilpotent complex n × n matrices A for which the products PA with all symmetric matrices P have a single spectrum are determined. It is shown that for a n × n complex matrix [...] there exists a permutation matrix P such that the product PA has at least two distinct eigenvalues.