Reordering diagonal blocks in real Schur form

Bojanczyk, A.;Van Dooren, Paul
(1993) NATO ASI on Linear Algebra for Large Scale and Real-Time Applications — ISBN: [0-7923-2151-0], p. 351-352, published

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  • Bojanczyk, A.Cornell Univ
    Author
  • Van Dooren, PaulUCLouvain
    Author
Abstract
We present a direct algorithm for computing an orthogonal similarity transformation which interchanges neighboring diagonal blocks in a matrix in real Schur form. The algorithm does not require the solution of the associated Sylvester equation. Numerical tests suggest the backward stability of the scheme.
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Bojanczyk, A., & Van Dooren, P. (1993). Reordering diagonal blocks in real Schur form. In M. Moonen, G. Golub and B. De Moor (ed.), NATO ASI on Linear Algebra for Large Scale and Real-Time Applications (p. p. 351-352). Kluwer. https://hdl.handle.net/2078.5/83388