MANPAK: A set of algorithms for computations on implicitly defined manifolds. A collection of algorithms is presented for performing a variety of numerical tasks on general implicitly defined (by a system of underdetermined equations) submanifolds of a finite-dimensional space. This includes algorithms for determining local parametrizations and their derivatives, and for evaluating quantities related to the curvature with sensitivity measures. The methods have been implemented as a FORTRAN 77 package, called MANPAK. (netlib contin)

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  1. Simeon, Bernd: On the history of differential-algebraic equations. A retrospective with personal side trips (2017)
  2. Sommer, S.; Lauze, F.; Nielsen, M.: Optimization over geodesics for exact principal geodesic analysis (2014)
  3. Yang, Ai-Li; Wu, Yu-Jiang: Newton-MHSS methods for solving systems of nonlinear equations with complex symmetric Jacobian matrices (2012)
  4. Leyendecker, S.; Ober-Blöbaum, S.; Marsden, J. E.; Ortiz, M.: Discrete mechanics and optimal control for constrained systems (2010)
  5. Wunderlich, Lena: Analysis and numerical solution of structured and switched differential-algebraic systems (2008)
  6. Kunkel, Peter; Mehrmann, Volker: Differential-algebraic equations. Analysis and numerical solution (2006)
  7. Liu, Chein-Shan: Preserving constraints of differential equations by numerical methods based on integrating factors (2006)
  8. Arévalo, C.; Campbell, S. L.; Selva, M.: Unitary partitioning in general constraint preserving DAE integrators (2004)
  9. Rabier, Patrick J.; Rheinboldt, Werner C.: Nonholonomic motion of rigid mechanical systems from a DAE viewpoint (1999)
  10. Rheinboldt, W. C.; Simeon, B.: Computing smooth solutions of DAEs for elastic multibody systems (1999)
  11. Rheinboldt, W. C.: Solving algebraically explicit DAEs with the MANPAK-manifold-algorithms (1997)
  12. Rheinboldt, W. C.: MANPAK: A set of algorithms for computations on implicitly defined manifolds (1996)