[HTML][HTML] Swapping 2× 2 blocks in the Schur and generalized Schur form

D Camps, N Mastronardi, R Vandebril… - Journal of Computational …, 2020 - Elsevier
Journal of Computational and Applied Mathematics, 2020Elsevier
… In this paper we describe how to swap two 2 × 2 blocks in a real Schur form and a
generalized real Schur form. We pay special attention to the numerical stability of the
method. We also illustrate the stability of our approach by a series of numerical tests. … In
this paper we revisit the problem of swapping two 2 × 2 blocks in both the standard and the
generalized Schur form. This problem gained a renewed interest because of its use in the
new rational Q Z method [8], [9], [10] which makes extensive use of the … In this paper we …
Abstract
In this paper we describe how to swap two 2 × 2 blocks in a real Schur form and a generalized real Schur form. We pay special attention to the numerical stability of the method. We also illustrate the stability of our approach by a series of numerical tests.
Elsevier
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