Skew ? polar decompositions

Skew ? polar decompositions

We present necessary and sufficient conditions so that a square complex matrix A can be written as A=QS, with orthogonal Q and skew symmetric S. We also present necessary and sufficient conditions so that a 2n-by-2n complex matrix B can be written as B=WR, with symplectic W and Hamiltonian R.

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Veröffentlicht in:Linear algebra and its applications 2017-10, Vol.531, p.129
Hauptverfasser: de la Cruz, Ralph John, Merino, Dennis I, Paras, Agnes T
Format: Artikel
Sprache:eng
Schlagworte:
Linear algebra
Matrix
Numerical analysis
Symmetry
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Zusammenfassung:We present necessary and sufficient conditions so that a square complex matrix A can be written as A=QS, with orthogonal Q and skew symmetric S. We also present necessary and sufficient conditions so that a 2n-by-2n complex matrix B can be written as B=WR, with symplectic W and Hamiltonian R.
ISSN:0024-3795
1873-1856