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Structure preserving algorithms for perplectic eigenproblems. (English) Zbl 1065.65053

This paper deals with structured real canonical forms for matrices in \(\mathbb R^{n\times n}\) that are symmetric about the anti-diagonal as well as the main diagonal. Jacobi algorithms are presented for three of the above four mentioned cases. In addition to preserving structures, these methods are inherently parallelizable, numerically stable, and show asymptotic quadratic convergence.

MSC:

65F15 Numerical computation of eigenvalues and eigenvectors of matrices
15A21 Canonical forms, reductions, classification
15B57 Hermitian, skew-Hermitian, and related matrices
65F30 Other matrix algorithms (MSC2010)
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