Additional information

CV:

  • Master's degree in Computer Science in 2003 after studying Physics, Mathematics and Computer Science at the Universities of Gothenburg, Uppsala and Umeå.
  • Defended Licentiate Thesis on June 1, 2005.
  • Defended Doctoral Thesis on November 23, 2007.

The complete CV can be found here.

Teaching:

Research:

My research field is scientific and parallel computing, mainly parallel algorithms for Sylvester-type matrix equations and periodic eigenvalue problems. I find everything that includes matrices more or less interesting. I belong to the research group directed by Prof Bo Kågström.

Please, visit the SCASY page!

Publications:

  1. Robert Granat, A Parallel ScaLAPACK-style Sylvester Solver, Master's Thesis, Report UMNAD 435/03, Dept. Computing Science, Umeå University, Sweden, January, 2003. [PS, PDF]
  2. Robert Granat, Bo Kågström and Peter Poromaa, Parallell ScaLAPACK-style Algorithms for Solving Continous-Time Sylvester Equations. In H. Kosch et al (Eds), Euro-Par 2003 Parallel Processing. LCNS, Springer Verlag, Vol. 2790, pp. 800-809, 2003. [PS, PDF]
  3. Robert Granat and Bo Kågström. Evaluating Parallel Algorithms for Solving Sylvester-Type Matrix Equations: Direct Transformation-Based versus Iterative Matrix-Sign-Function-Based Methods. In PARA'04 State-of-the-Art in Scientific Computing Conference Proceedings, LCNS, Springer Verlag, 2005. [PS, PDF]
  4. Robert Granat, Isak Jonsson and Bo Kågström, Combining Explicit and Recursive Blocking for Solving Triangular Sylvester-Type Matrix Equations on Distributed Memory Platforms. In M. Danelutto, D. Laforenza, M. Vanneschi (Eds), Euro-Par 2004. LCNS, Springer Verlag, Vol. 3149, pp. 742-750, 2004. [PS, PDF]
  5. Robert Granat and Bo Kågström, Direct Eigenvalue Reordering in a Product of Matrices in Extended Periodic Real Schur Form, Report UMINF-05.05, Dept. Computing Science and HPC2N, Umeå University, 2005. [PS, PDF]
  6. Robert Granat, Contributions to Parallel Algorithms for Sylvester-type Matrix Equations and Periodic Eigenvalue Reordering in Cyclic Matrix Products, Licentiate Thesis, Report UMINF-05.18, ISSN-0348-0542, ISBN 91-7305-903-X, Dept. Computing Science, Umeå University, May 2005. [PS, PDF]
  7. Robert Granat, Bo Kågström, Daniel Kressner, Reordering the Eigenvalues of a Periodic Matrix Pair with Applications in Control, in Proceedings of IEEE CACSD’06. [PS, PDF]
  8. Robert Granat and Bo Kågstrom, Direct Eigenvalue Reordering in a Product of Matrices in Periodic Schur Form, SIAM Journal on Matrix Analysis and Applications, Vo. 28, No. 1, pp. 285-300, 2006. [PS,PDF]
  9. Robert Granat, Bo Kågström, Parallel Algorithms and Condition Estimators for Standard and Generalized Triangular Sylvester-type Matrix Equations, to appear PARA'06 State-of-the-Art in Scientific Computing Conference Proceedings, LCNS, Springer Verlag, 2007.[PS, PDF]
  10. Robert Granat, Isak Jonsson and Bo Kågström, Recursive Blocked Algorithms for Solving Periodic Triangular Sylvester-type Matrix Equations, to appear PARA'06 State-of-the-Art in Scientific Computing Conference Proceedings, LCNS, Springer Verlag, 2007. [PS, PDF]
  11. Robert Granat, Bo Kågström and Daniel Kressner. Computing Periodic Deflating Subspaces Associated with a Specified Set of Eigenvalues, accepted for BIT Numerical Mathematics. [PS,PDF]
  12. Robert Granat, Bo Kågström and Daniel Kressner. Matlab Tools for Solving Periodic Eigenvalue Problems, accepted for IFAC PSYCO'07, S:t Petersburg, Russia,  2007. [PS,PDF]
  13. Robert Granat and Bo Kågström, Parallel Solvers for Sylvester-Type Matrix Equations with Applications in Condition Estimation, Part I: Theory and Algorithms, submitted to ACM TOMS, June 2007. [PS,PDF]
  14. Robert Granat and Bo Kågström, Parallel Solvers for Sylvester-Type Matrix Equations with Applications in Condition Estimation, Part II: The SCASY Software Library, submitted to ACM TOMS, June 2007. [PS,PDF]
  15. Robert Granat, Bo Kågström and Daniel Kressner, Parallel Eigenvalue Reordering, in Concurrency and Computations: Practice and Experience, to appear 2009. [PS,PDF]
  16. Robert Granat, Algorithms and Library Software for Periodic and Parallel Eigenvalue Reordering and Sylvester-type matrix Equations with Condition estimation, PhD Thesis, Report UMINF-07.21, ISSN-0348-0542, ISBN 978-91-7264-410-6, Dept. Computing Science, Umeå University, November 2007. [PDF]
  17. Per Andersson, Robert Granat, Isak Jonsson and Bo Kågström, Parallel Algorithms for Triangular Periodic Sylvester-type Matrix Equations, submitted to EuroPar 2008 Conference, January 2008. [PS,PDF]
  18. Robert Granat, Bo Kågström and Daniel Kressner, A Parallel Schur Method for Solving Continuous-time Algebraic Riccati Equations, submitted to CACSD'08, January 2008. [PS,PDF]
  19. Robert Granat, Bo Kågström and Daniel Kressner, A novel parallel QR algorithm \\ for hybrid distributed memory HPC systems, LAPACK Working Note 216, UMINF 09.06, Dept. Computing Science, Umeå University, submitted to SIAM Journal on Scientific Computing, April 2009. [PS,PDF]
  20. Robert Granat, SCASY 1.0 Release Notes, UMINF 09.06, Dept. Computing Science, Umeå University, April 2009. [PS,PDF]

See also the following list of publications.

Financial support and Hardware:

This research is financially supported by the Swedish Research Council (grant VR 621-2001-3284) and the Swedish Foundation for Strategic Research (grant A3 02:128) . The research is conducted using the resources of the High Performance Computing Center North (HPC2N).

                                                                    

Master's Thesis projects/proposals:


Proposals:

  • Adding reverse gateway functionality to OpenFGG, (20 credits).
  • Parallel periodic eigenvalue reordering, (20 credits).

For details on these proposals, please contact me.

Suggestions are always welcome!

 

Links:   

This page was modified by Robert Granat 070821