PEPACK

We describe a software package for computing the numerical solution of palindromic and even eigenvalue problems using the Pencil Laub Trick. The package contains Fortran 77 routines which reduce real and complex palindromic and even pairs of matrices to anti-triangular form. We give explicit descriptions how to use the package including an example.


References in zbMATH (referenced in 19 articles )

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  1. Batzke, Leonhard: Generic rank-two perturbations of structured regular matrix pencils (2016)
  2. Mehrmann, Volker; Xu, Hongguo: Structure preserving deflation of infinite eigenvalues in structured pencils (2015)
  3. Batzke, Leonhard: Generic rank-one perturbations of structured regular matrix pencils (2014)
  4. Benner, Peter; Voigt, Matthias: Spectral characterization and enforcement of negative imaginariness for descriptor systems (2013)
  5. Bini, Dario A.; Noferini, Vanni: Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method (2013)
  6. Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker: Skew-symmetric matrix polynomials and their Smith forms (2013)
  7. Al-Ammari, Maha; Tisseur, Françoise: Standard triples of structured matrix polynomials (2012)
  8. Gamkrelidze, R.V. (ed.); Mikhalev, A.V. (ed.); Sadovnichy, V.A. (ed.): Proceedings of the international algebraic conference dedicated to the 80th anniversary of the Department of Higher Algebra of the Faculty of Mechanics and Mathematics of Moscow State University and the 70th birthday of Professor A. V. Mikhalev, Moscow, Russia, November 15--18, 2010. Part 3. Transl. from the Russian. (2012)
  9. Adhikari, Bibhas; Alam, Rafikul: On backward errors of structured polynomial eigenproblems solved by structure preserving linearizations (2011)
  10. Brüll, Tobias: Checking dissipativity of linear behavior systems given in kernel representation (2011)
  11. De Terán, Fernando; Dopico, Froilán M.; Mackey, D.Steven: Palindromic companion forms for matrix polynomials of odd degree (2011)
  12. Mackey, D.Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker: Smith forms of palindromic matrix polynomials (2011)
  13. Reis, Timo: Lur’e equations and even matrix pencils (2011)
  14. Mackey, D.Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker: Jordan structures of alternating matrix polynomials (2010)
  15. Kressner, Daniel; Schröder, Christian; Watkins, David S.: Implicit QR algorithms for palindromic and even eigenvalue problems (2009)
  16. Fassbender, Heike; Mackey, D.Steven; Mackey, Niloufer; Schröder, Christian: Structured polynomial eigenproblems related to time-delay systems (2008)
  17. Schreiber, Kathrin: Nonlinear eigenvalue problems: Newton-type methods and nonlinear Rayleigh functionals (2008)
  18. Schröder, Christian: Palindromic and even eigenvalue problems -- analysis and numerical methods. (2008)
  19. Wunderlich, Lena: Analysis and numerical solution of structured and switched differential-algebraic systems (2008)