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

Some publications of the subproject:

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.