Matrix Pencil Computations in Computer-Aided Control System Design: Theory, Algorithms and Software Tools

 

 

Some publications of the subproject:

Rank-Deficient and Constrained Least Squares Problems

The listings of publications are in reversed chronological order.

Refereed journal publications and invited book chapters

  • An implicit radial basis function based reconstruction approach to electromagnetic shape tomography. N. Naik, R. Beatson, J. Eriksson and E. van Houten. Inverse Problems 25 (2009) (24 pp).
     
  • A nonlinear iterative reconstruction and analysis approach to shape-based approximate electromagnetic tomography. N. Naik., J. Eriksson., P. de Groen, H. Sahli., IEEE Transaction on Geoscience and Remote Sensing. 46 (2008) pp 1558 - 1574.
     
  • Regularization methods for uniformly rank-deficient nonlinear least-squares problems, J. Eriksson, M Gulliksson, I. Söderqvist, and P-Å. Wedin. Journal of Optimization Theory and Applications (JOTA), Vol. 127, No. 1, pp 1-26, October, 2005.
     
  • Local results for the Gauss-Newton method on constrained rank-deficient nonlinear least squares. Eriksson J. and Gulliksson M. Math. Comp. 73 (2004), 1865-1883.

Technical reports and other publications

  • Algorithms for 3-dimensional Weighted Orthogonal Procrustes Problems. P. Å. Wedin and T. Viklands. Report UMINF-06.06, Dept. of Computing Science, Umeå University, Umeå, S-901 87, Sweden, 2006.
     
  • Algorithms for Linear Least Squares Problems on the Stiefel manifold. P. Å. Wedin and T. Viklands. Report UMINF-06.07, Dept. of Computing Science, Umeå University, Umeå, S-901 87, Sweden, 2006.
     
  • On the Number of Minima to Weighted Orthogonal Procrustes Problems. T. Viklands. Report UMINF-06.08, Dept. of Computing Science, Umeå University, S-901 87 Umeå, Sweden, 2006.
     
  • On Global Minimization of Weighted Orthogonal Procrustes Problems. T. Viklands. Report UMINF-06.09, Dept. of Computing Science, Umeå University, S-901 87 Umeå, Sweden, 2006.

Theses

  • Algorithms for the Weighted Orthogonal Procrustes Problem and other Least Squares Problems, Thomas Viklands, PhD Thesis, UMINF 06.10, Dept. of Computing Science, Umeå University, Sweden, ISBN 13 978-91-7264-333-8, April 2006.
     

 

Swedish Foundation for Strategic Research Department of Computing Science High Performance Computing Center North