@Article{Benner:2015:AFS,
  author =       "Peter Benner and Vasile Sima and Matthias Voigt",
  title =        "Algorithm xxx: {Fortran} 77 subroutines for the solution of
  skew-{Hamiltonian}/{Hamiltonian} eigenproblems",
  journal =      "{ACM} Transactions on Mathematical Software",
  accepted =     "23 August 2013",
  upcoming =     "true", 
  abstract =     "
                  Skew-Hamiltonian/Hamiltonian matrix pencils $\lambda\cS -
                  \cH$ appear in many applications, including linear-quadratic
                  optimal control problems, $\mathcal{H}_\infty$-optimization,
                  certain multi-body systems and many other areas in applied
                  mathematics, physics, and chemistry. In these applications it
                  is necessary to compute certain eigenvalues and/or corresponding
                  deflating subspaces of these matrix pencils. Recently developed
                  methods exploit and preserve the skew-Hamiltonian/Hamiltonian
                  structure and hence increase the reliability, accuracy, and
                  performance of the computations.  In this article we describe
                  the corresponding algorithms which have been implemented in the
                  style of subroutines of the Subroutine Library in Control Theory
                  (SLICOT). Furthermore we address some of their applications. We
                  describe variants for real and complex problems as well as
                  implementation details and perform numerical tests using
                  real-world examples to demonstrate the superiority of the new
                  algorithms compared to standard methods.",
}