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Enhanced Services for Remote Model Reduction of Large-Scale Dense Linear Systems

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Applied Parallel Computing (PARA 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2367))

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Abstract

This paper describes enhanced services for remote model reduction of large-scale, dense linear time-invariant systems. Specifically, we describe a Web service and a Mail service for parallel model reduction on a cluster of Intel Pentium-II architectures using absolute error methods. These services improve the appeal and accessibility of the parallel library.

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References

  1. D. Arnold, S. Agrawal, L.S. Blackford, J. Dongarra, M. Miller, S. Vahdiyar, K. Sagi, and Z. Shi. Users’s guide to NetSolve. Technical Report UT-CS-01-467, University of Tennessee at Knoxville, Computer Science Dept., 2001. Available from http://icl.cs.utk.edu/netsolve.

  2. P. Benner, E.S. Quintana-Ortí, and G. Quintana-Ortí. Balanced truncation model reduction of large-scale dense systems on parallel computers. Math. Comput. Model. Dyn. Syst., 6(4):383–405, 2000.

    Article  MATH  Google Scholar 

  3. P. Benner, E.S. Quintana-Ortí, and G. Quintana-Ortí. Efficient numerical model reduction methods for discrete-time systems. In I. Troch and F. Breitenecker, editors, Proc. IMACS Symp. Math. Modelling, 3rd MATHMOD Vienna, Vol. 1, number 15 in ARGESIM Reports, pages 277–280. Vienna (Austria), February 2000.

    Google Scholar 

  4. P. Benner, E.S. Quintana-Ortí, and G. Quintana-Ortí. Singular perturbation approximation of large, dense linear systems. In Proc. 2000 IEEE Intl. Symp. CACSD, Anchorage, Alaska, USA, September 25-27, 2000, pages 255–260. IEEE Press, Piscataway, NJ, 2000.

    Google Scholar 

  5. P. Benner, E.S. Quintana-Ortí, and G. Quintana-Ortí. PSLICOT routines for model reduction of stable large-scale systems. In Proc. Third NICONET Workshop on Numerical Software in Control Engineering, pages 39–44, 2001.

    Google Scholar 

  6. L.S. Blackford, J. Choi, A. Cleary, E. D’Azevedo, J. Demmel, I. Dhillon, J. Dongarra, S. Hammarling, G. Henry, A. Petitet, K. Stanley, D. Walker, and R.C. Whaley. ScaLAPACK Users’ Guide. SIAM, Philadelphia, PA, 1997.

    Book  MATH  Google Scholar 

  7. I. Blanquer, D. Guerrero, V. Hernández, E.S. Quintana-Ortí, and P. Ruíz. Parallel-SLICOT implementation and documentation standards. SLICOT Working Note 1998-1, The Working Group on Software (WGS), September 1998. Available from http://www.win.tue.nl/niconet/NIC2/reports.html.

  8. J. Cheng, G. Ianculescu, C.S. Kenney, A.J. Laub, and P.M. Papadopoulos. Control-structure interaction for space station solar dynamic power module. IEEE Control Systems, pages 4–13, 1992.

    Google Scholar 

  9. P. Y. Chu, B. Wie, B. Gretz, and C. Plescia. Approach to large space structure control system design using traditional tools. AIAA J. Guidance, Control, and Dynamics, 13:874–880, 1990.

    Article  Google Scholar 

  10. U.B. Desai and D. Pal. A transformation approach to stochastic model reduction. IEEE Trans. Automat. Control, AC-29:1097–1100, 1984.

    Article  MathSciNet  Google Scholar 

  11. E. Elmroth, P. Johansson, B. Kågström, and D. Kressner. A Web computing environment for the SLICOT library. SLICOT Working Note 2001-2, June 2001. Available from http://www.win.tue.nl/niconet/NIC2/reports.html, service accesible at http://wc2.hpc2n.umu.se.

  12. L. Fortuna, G. Nummari, and A. Gallo. Model Order Reduction Techniques with Applications in Electrical Engineering. Springer-Verlag, 1992.

    Google Scholar 

  13. K. Glover. All optimal Hankel-norm approximations of linear multivariable systems and their Lt8 norms. Internat. J. Control, 39:1115–1193, 1984.

    Article  MathSciNet  Google Scholar 

  14. Y. Liu and B.D.O. Anderson. Controller reduction via stable factorization and balancing. Internat. J. Control, 44:507–531, 1986.

    Article  MATH  Google Scholar 

  15. B.C. Moore. Principal component analysis in linear systems: Controllability, observability, and model reduction. IEEE Trans. Automat. Control, AC-26:17–32, 1981.

    Article  Google Scholar 

  16. C.R. Paul. Analysis of Multiconductor Transmission Lines. Wiley-Interscience, Singapur, 1994.

    Google Scholar 

  17. M.G. Safonov and R.Y. Chiang. A Schur method for balanced-truncation model reduction. IEEE Trans. Automat. Control, AC-34:729–733, 1989.

    Article  MathSciNet  Google Scholar 

  18. M.G. Safonov, R.Y. Chiang, and D.J.N. Limebeer. Optimal Hankel model reduction for nonminimal systems. IEEE Trans. Automat. Control, 35(4):496–502, 1990.

    Article  MathSciNet  Google Scholar 

  19. The Working Group on Software: WGS. SLICOT Implementation and Documentation Standards 2.1, 1996. WGS-report 96-1. Available from

    Google Scholar 

  20. M.S. Tombs and I. Postlethwaite. Truncated balanced realization of a stable non-minimal state-space system. Internat. J. Control, 46(4):1319–1330, 1987.

    Article  MathSciNet  MATH  Google Scholar 

  21. A. Varga. Efficient minimal realization procedure based on balancing. In Prepr. of the IMACS Symp. on Modeling and Control of Technological Systems, volume 2, pages 42–47, 1991.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Arbeitsbereich Mathematik, Technische Universität Hamburg-Harburg, D-21071, Hamburg, Germany

    Peter Benner

  2. Depto. de Ingeniería y Ciencia de Computadores, Universidad Jaume I, 12071, Castellón, Spain

    Rafael Mayo, Enrique S. Quintana-Ortí & Gregorio Quintana-Ortí

Authors
  1. Peter Benner
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  2. Rafael Mayo
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  3. Enrique S. Quintana-Ortí
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  4. Gregorio Quintana-Ortí
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Editor information

Editors and Affiliations

  1. CSC, P.O. Box 405, 02101, Espoo, Finland

    Juha Fagerholm , Juha Haataja , Jari Järvinen , Mikko Lyly , Peter Råback  & Ville Savolainen , , , ,  & 

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© 2002 Springer-Verlag Berlin Heidelberg

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Benner, P., Mayo, R., Quintana-Ortí, E.S., Quintana-Ortí, G. (2002). Enhanced Services for Remote Model Reduction of Large-Scale Dense Linear Systems. In: Fagerholm, J., Haataja, J., Järvinen, J., Lyly, M., Råback, P., Savolainen, V. (eds) Applied Parallel Computing. PARA 2002. Lecture Notes in Computer Science, vol 2367. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48051-X_33

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  • DOI: https://doi.org/10.1007/3-540-48051-X_33

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43786-4

  • Online ISBN: 978-3-540-48051-8

  • eBook Packages: Springer Book Archive

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