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A note on symplectic block reflectors. (English) Zbl 1171.65038

Summary: A symplectic block reflector is introduced. The parallel with the Euclidean block reflector is studied.
Some important features of symplectic block reflectors are given. Algorithms to compute a symplectic block reflector that introduces a desired block of zeros into a matrix are developed.

MSC:

65F30 Other matrix algorithms (MSC2010)
15B57 Hermitian, skew-Hermitian, and related matrices
65F05 Direct numerical methods for linear systems and matrix inversion