Solving Minimal-Distance Problems over the Manifold of Real-Symplectic Matrices

  title={Solving Minimal-Distance Problems over the Manifold of Real-Symplectic Matrices},
  author={Simone G. O. Fiori},
  journal={SIAM J. Matrix Anal. Appl.},
  • S. Fiori
  • Published 20 September 2011
  • Mathematics
  • SIAM J. Matrix Anal. Appl.
The present paper discusses the question of formulating and solving minimal-distance problems over the group-manifold of real-symplectic matrices. In order to tackle the related optimization problem, the real-symplectic group is regarded as a pseudo-Riemannian manifold, and a metric is chosen that affords the computation of geodesic arcs in closed forms. Then, the considered minimal-distance problem can be solved numerically via a gradient-steepest-descent algorithm implemented through a… 

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