Peter Benner - Software
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- [F8]
HAPACK
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Maintained and developed by
Peter Benner and Daniel
Kreßner.
HAPACK is an LAPACK-style software package for Hamiltonian and skew-Hamiltonian
matrices. It provides subroutines for computing eigenvalues, eigenvectors, and
invariant subspaces of Hamiltonian and skew-Hamiltonian matrices, as well as
structured Schur forms and several orthogonal symplectic factorizations of such
matrices.
Mex files and Matlab interfaces are vailable as well, see also Matlab software below.
- [F7]
PLiCMR
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Maintained and developed by
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio
Quintana-Ortí
The Parallel Library in Control: Model Reduction (PLiCMR) package
contains subroutines for model reduction of linear dynamical systems in
state-space form on parallel distributed computers. Currently it contains
routines for balanced truncation, singular perturbation approximation, optimal
Hankel norm approximation, and stochastic balancing for stable systems using
dense matrix algebra.
The parallelization model is based on the approach used in ScaLAPACK.
Numerical computations are based on ScaLAPACK as far as possible and
communication is performed using the Basic Linear Algebra
Communication Subroutines (BLACS) on top of a communication library
such as PVM or MPI.
The
documentation of the library is available on-line in HTML format and the
routines can be remotely executed on a Liunx cluster with 32 Pentium
processors in Castellón via a
web interface.
For more information on PLiCMR, consult
- Peter Benner, Enrique S. Quintana-Ortí, and Gregorio
Quintana-Ortí
PSLICOT Routines for Model Reduction of Stable Large-Scale
Systems
Proceedings of the Third NICONET Workshop on Numerical Software in
Control Engineering,
Louvain-la-Neuve, Belgium, January 19, 2001,
pp. 39-44.
-
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio
Quintana-Ortí
State-Space
Truncation
Methods for Parallel Model Reduction of
Large-Scale Systems
Parallel Computing, Vol. 29 (special issue "Parallel
and
Distributed Scientific and Engineering Computing"), pp. 1701-1722,
2003.
which describes those routines of PLiCMR that have been integrated into
the parallelized version of SLICOT, called PSLICOT.
- [F6]
SLICOT
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The Subroutine Library in Control Theory (SLICOT) is developed
and maintained by
NICONET e.V. and is based on the results of the EU funded
thematic network NICONET (Numerics In
COntrol NETwork).
Click here to see
a list of all its former partners.
SLICOT provides Fortran 77 implementations of numerical algorithms for
computations in systems and control theory. Based on numerical linear
algebra routines from the
BLAS and
LAPACK
libraries, SLICOT provides methods for the design and analysis of
control systems. At present, SLICOT contains 175 user-callable
subroutines and 80 low-level subroutines.
SLICOT is organized in the following chapters:
The documentation
of SLICOT is available on-line. It contains complete descriptions of
each available subroutine. To see a sample documentation of a routine
(AB01MD.f), click here.
For more information on SLICOT, consult
Peter Benner, Volker Mehrmann, Vasile Sima, Sabine Van Huffel, and
Andras Varga:
SLICOT - A Subroutine Library in Systems
and Control Theory.
Applied and Computational Control, Signals, and Circuits,
Vol. 1, pp. 499-539, 1999.
The retrievable version appeared as
NICONET Report 97-03,
Working Group
on Software, June 1997.
- [F5]
PLiC
-
Maintained and developed by
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio
Quintana-Ortí
The Parallel Library in Control (PLiC) contains subroutines for
solving problems arising from the analysis and design of large-scale
time-invariant linear control systems in state-space form on parallel
distributed computers.
Currently it contains more than 30 user-callable subroutines for
solving linear and quadratic matrix equations (Lyapunov, Sylvester,
Stein and algebraic Riccati equations), model reduction, partial
stabilization, and some supporting routines.
The parallelization model is based on the approach used in ScaLAPACK.
Numerical computations are based on ScaLAPACK as far as possible and
communication is performed using the Basic Linear Algebra
Communication Subroutines (BLACS) on top of a communication library
such as PVM or MPI.
The documentation of the library is available on-line in HTML format.
For an example (PDGECMBS.f), click
here.
For more information on PLiC, consult
Peter Benner, Enrique S. Quintana-Ortí, and Gregorio
Quintana-Ortí:
A Portable Subroutine Library for Solving Linear Control Problems
on Distributed Memory Computers.
In G. Cooperman, E. Jessen, and G.O. Michler (editors),
Workshop on Wide Area Networks and High Performance
Computing, Essen (Germany), September 1998,
Lecture Notes in Control and Information,
Vol. 249, pp. 61-88, Springer-Verlag, Berlin/Heidelberg, 1999. [ISBN
1-85233-642-0]
The retrievable version is NICONET Report 1999-1,
Working Group on
Software, January 1999.
- [F4]
LAPACK based FORTRAN 77 subroutines corresponding to
-
Peter Benner, Ralph Byers, and Eric Barth:
Fortran 77 Subroutines for Computing the Eigenvalues of
Hamiltonian Matrices I:
The Square-Reduced Method
See the README file for a
basic description of this
software package.
This version dated September 1, 1998.
The slightly revised codes, corresponding to the
article as it appeared in the ACM Transactions on Mathematical
Software,
can also be downloaded from the ACM
Collected Algorithms (CALGO) homepage, file
800.
- [F3]
SYSP
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Two Fortran 77 subroutines for compressing a symmetric or triangular
matrix to packed storage mode or to unpack a packed array to full
storage mode.
Packed storage mode can be used for symmetric or triangular matrices.
Lower packed storage mode stores the lower triangle of such a matrix
by columns whereas upper packed storage mode stores the upper triangle
of the matrix by columns.
This version dated February 22, 1996.
- [F2]
DAREX
-
This compressed tar file contains a directory (named darex_f) with
a LAPACK based FORTRAN 77 subroutine for generating all the benchmark
examples of discrete-time algebraic Riccati equations corresponding
to
- Peter Benner, Alan Laub, and Volker Mehrmann:
A Collection of Benchmark Examples for the Numerical Solution of Algebraic
Riccati Equations II: The Discrete-Time Case.
Preprint SPC 95-23, Forschergruppe `Scientific Parallel Computing',
Fakultät für Mathematik, TU Chemnitz-Zwickau.
The directory darex_f includes a
README file, source
codes, several required data files, and a subdirectory with a sample
program and corresponding input/output files.
This version dated February 28, 1996.
- [F1]
CAREX
-
This compressed tar file contains a directory (named carex_f) with
a LAPACK based FORTRAN 77 subroutine for generating all the benchmark
examples of continuous-time algebraic Riccati equations corresponding
to
- Peter Benner, Alan Laub, and Volker Mehrmann:
A Collection of Benchmark Examples for the Numerical Solution of Algebraic
Riccati Equations I: The Continuous-Time Case.
Preprint SPC 95-22, Forschergruppe `Scientific Parallel Computing',
Fakultät für Mathematik, TU Chemnitz-Zwickau.
The directory carex_f includes a
README file, source
codes, several required data files, and a subdirectory with a sample
program and corresponding input/output files.
This version dated January 18, 1996.
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- [M6]
MORLAB
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MATLAB functions for modal and balanced truncation model reduction
using spectral projection (sign and disk function) methods. Included are
several balancing-related model reduction methods (not yet included:
balanced stochastic truncation, positive-real balanced truncation,
balancing-free variants).
Note: the provided functions are preliminary, not yet fully tested,
and come without warranty.
- [M5]
BTMR
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MATLAB functions for balanced truncation model reduction using spectral
projection (sign function) methods used in [BC6]
of my publication list.
- [M4]
HAPACK
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Maintained and developed by
Peter Benner and Daniel
Kreßner.
MEX interfaces and Matlab gateway functions to some of the subroutines form the Fortran 77 library HAPACK.
-
[M3]
HAMEIG
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This compressed tar file contains a directory (named hameig) with
a MATLAB function for computing the eigenvalues of Hamiltonian
matrices and supporting files.
This implementation corresponds to
-
Peter Benner, Ralph Byers, and Eric Barth:
Fortran 77 Subroutines for Computing the Eigenvalues of
Hamiltonian Matrices I:
The Square-Reduced Method
NOTE: For use under SUN Solaris only! Uses compiled MEX files.
Source codes are provided, but their compilation requires the
NAGWare Gateway
Generator, LAPACK,
BLAS, and
SLICOT.
This version dated June 29, 1999.
- [M2]
DAREX
-
This compressed tar file contains a directory (named darex_m) with
a MATLAB function for generating all the benchmark
examples of discrete-time algebraic Riccati equations corresponding
to
- Peter Benner, Alan Laub, and Volker Mehrmann:
A Collection of Benchmark Examples for the Numerical Solution of Algebraic
Riccati Equations II: The Discrete-Time Case.
Preprint SPC 95-23, Forschergruppe `Scientific Parallel Computing',
Fakultät für Mathematik, TU Chemnitz-Zwickau.
The directory darex_m includes a
README file and the necessary
M-files.
This version dated February 28, 1996.
- [M1]
CAREX
-
This compressed tar file contains a directory (named carex_m) with
a MATLAB function for generating all the benchmark
examples of continuous-time algebraic Riccati equations corresponding
to
- Peter Benner, Alan Laub, and Volker Mehrmann:
A Collection of Benchmark Examples for the Numerical Solution of Algebraic
Riccati Equations I: The Continuous-Time Case.
Preprint SPC 95-22, Forschergruppe `Scientific Parallel Computing',
Fakultät für Mathematik, TU Chemnitz-Zwickau.
The directory carex_m includes a
README file and the necessary
M-files.
This version dated February 28, 1996.
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