Complex Matrices
If instead M is a 2n×2n matrix with complex entries, the definition is not standard throughout the literature. Many authors adjust the definition above to
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(2)
where M* denotes the conjugate transpose of M. Other authors retain the definition (1) for complex matrices and call matrices satisfying (2) conjugate symplectic.
Read more about this topic: Symplectic Matrix
Famous quotes containing the word complex:
“When distant and unfamiliar and complex things are communicated to great masses of people, the truth suffers a considerable and often a radical distortion. The complex is made over into the simple, the hypothetical into the dogmatic, and the relative into an absolute.”
—Walter Lippmann (1889–1974)