COMPleib: COnstraint Matrix-optimization Problem library

COMPleib is a collection of test examples. The library can be used for testing and benchmarking algorithms for
License: You use it, you reference it. It is as simple as that. More details in the license agreement.



  COMPleib 1.0, (Release 1.0, January 2004): Complete benchmark library 1.0 (including the reports [1]-[3] below) All_COMPlib_r1_0.zip (4.55 MB)
  To install the old release 1.0, please, unzip the file All_COMPlib_r1_0.zip and read the user guide.

  NEW COMPleib 1.1
 
(Release 1.1, March 2006): Minor update (Some minor corrections to release 1.1, March 2005)
Complete benchmark library 1.1 (without the reports below) Matlab_COMPlib_r1_1.zip (3.97 MB)

  (Release 1.1, March 2005): New version of the benchmark library 1.1
 
To install the new release 1.1, please, unzip the file Matlab_COMPlib_r1_1.zip and read the user guide.
  The difference between version 1.0 and release 1.1 of COMPleib is that 44 new examples has been added to the test collection. The newly-added problems coming from output feedback control design problems for two dimensional PDE models.
  • Medium scale models (sparse):
    • 2D heat flow (HF2Dx) models accurately described in [1], Section 3:
      'HF2D1_M316','HF2D1_M541','HF2D2_M316','HF2D2_M541','HF2D5_M289', 'HF2D5_M529','HF2D6_M289','HF2D6_M529','HF2D9_M256','HF2D9_M484'.
    • 2D instable heat flow (HF2D_ISx) and convection-diffusion (HF2D_CDx) models as stated in [4], Section 4:
      'HF2D_IS1_M361','HF2D_IS1_M529','HF2D_IS2_M361','HF2D_IS2_M529','HF2D_IS3_M256', 'HF2D_IS3_M484','HF2D_IS4_M256','HF2D_IS4_M484',
      'HF2D_CD1_M256','HF2D_CD1_M484','HF2D_CD2_M256','HF2D_CD2_M484','HF2D_CD3_M324', 'HF2D_CD3_M576'.
    The number behind 'M' (for medium scale) denotes the dimension of the system matrix A.
  • Large scale 2D instable heat flow and convection-diffusion models (sparse) (see [4], Section 4):
    'HF2D_IS1','HF2D_IS2','HF2D_IS3','HF2D_IS4','HF2D_CD1','HF2D_CD2','HF2D_CD3'.
  • Corresponding (small scale) POD models (dense) (see [4], Section 4):
    'HF2D_IS5','HF2D_IS6','HF2D_IS7','HF2D_IS8','HF2D_CD4','HF2D_CD5','HF2D_CD6'.
  • Perturbed (instable) cable mass (CM_IS) models (similar to 'CM1' - 'CM6' with a perturbation matrix dA added on original A of 'CM1' - 'CM6' such that the perturbed system matrix A:=A+dA is not Hurwitz):
    'CM1_IS' ,'CM2_IS' ,'CM3_IS' ,'CM4_IS' ,'CM5_IS' ,'CM6_IS'.
All 44 new examples are unstable discretized models of the corresponding PDE control system.
Release 1.1 of COMPleib consists of 168 test examples and can be used identical to version 1.0!!


Related publications:
No. Author(s) / Title
1 F. Leibfritz. COMPleib: COnstraint Matrix-optimization Problem library - a collection of test examples for nonlinear semidefinite programs, control system design and related problems. Tech.-Report 2004. pdf
2 F. Leibfritz and W. Lipinski. COMPleib 1.0 - user manual and quick reference. Tech.-Report 2004. pdf
3 F. Leibfritz and W. Lipinski. Description of the benchmark examples in COMPleib 1.0. Tech.-Report 2003. pdf
4 F. Leibfritz and S. Volkwein. Numerical feedback controller design for PDE systems using model reduction: techniques and case studies. Revised version, to appear in SIAM Book Series on Computational Science and Engineering, 2006. pdf



Last update: March 2006, Friedemann Leibfritz.