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Some publications of the subproject:
Perturbation Analysis, Condition Estimation
and Reliable Error Bounds
The listings of publications are in reversed chronological
order.
Submitted papers and work in progress
Refereed journal publications and invited book chapters
- Parallel Solvers for Sylvester-type Matrix
Equations with Applications in Condition Estimation, Part I: Theory
and Algorithms, Robert Granat and Bo Kågström,
ACM Trans. Math. Software (accepted), Feb. 2010. (pdf)
- AlGORITHM XXX. The SCASY Software Library,
Parallel Solvers for Sylvester-type Matrix Equations with Applications
in Condition Estimation, Part II, Robert Granat and Bo Kågström,
ACM Trans. Math. Software (accepted), Feb. 2010.
(pdf)
- Stratification of Controllability and Observability
Pairs - Theory and Use in Applications,
Erik Elmroth, Stefan Johansson, and Bo Kågström. SIAM
J. Matrix Analysis and Applications, Vol. 31, Issue 2, pp. 203-226
(2009) (pdf)
- On the structured distance to uncontrollability,
M. Karow and D. Kressner, Systems Control Lett., 58(2):128-132,
2009. (pdf)
- Structured Hölder condition numbers
for multiple eigenvalues, Daniel Kressner,
Maria J. Peláez, and J. Moro, SIAM J. Matrix Anal. Appl.,
31(1):175-201, 2009. (Also as Report UMINF-06.xx). (pdf)
- The effect of aggressive early
deflation on the convergence of the QR algorithm,
Daniel Kressner, SIAM J. Matrix Anal. Appl.30(2):805-821,
2008. (Also as Report UMINF-06.xx). (pdf)
- Structured condition numbers for invariant
subspaces, Ralph Byers and Daniel Kressner,
SIAM J. Matrix Anal. Appl., 28(2):326-347, 2006. (pdf)
- On the sensitivity of the spectral projection,
Ji-guang Sun, Linear Algebra Appl., 395 (2005), 83-94. (pdf)
- Perturbation bounds for subspaces associated with
periodic eigenproblems, Ji-guang Sun, Taiwanese Journal of
Mathematics, 9, No.1, 17-38 (2005) . (pdf)
- A note on backward errors for structured linear
systems, Ji-guang Sun, Numer.Linear Algebra Appl, 12, 585-603
(2005) (pdf)
- Backward perturbation analysis of the periodic
discrete-time algebraic Riccati equation, Ji-guang Sun, SIAM
J. Matrix Anal. Appl., 26 (2004), 1-19. (pdf)
- Structured backward error for the linear system
$A^TAx=b$, Ji-guang Sun, Journal of Natural Sciences of Heilongjiang
University, 21, No.4 (2004), 4-10. (pdf)
- Bounds for the Distance Between Nearby Jordan
and Kronecker Structures in a Closure Hierarchy,
Erik Elmroth, Pedher Johansson, and Bo Kågström, Journal of Mathematical
Sciences, Vol, 112, No. 6, 2003, pp. 1765-1779. (pdf)
- Perturbation analysis of the matrix equation $X=Q+A^H(\hat{X}-C)^{-1}A$,
Ji-guang Sun, Linear Algebra Appl., 372 (2003), 33--51. (pdf)
Refereed conference proceedings
- Orbit and bundle stratification for controllability
and observability matrix pairs in StratiGraph, Erik Elmroth, Pedher
Johansson, Stefan Johansson, and Bo Kågström, Mathematical
Theory of Networks and Systems, MTNS2004, Katholieke Universiteit
Leuven, July, 2004. (10 pages, pdf).
Technical reports and other publications
- Reviewing the Closure Hierarchy of Orbits
and Bundles of System Pencils and Their Canonical Forms,
Stefan Johansson, Report UMINF 09.02,, Dept. of Computing Science,
Umeå University, Sweden, 2009. (pdf)
- Matrix Canonical Structure Toolbox,
Pedher Johansson, Report UMINF 06.15, Dept. of Computing Science,
Umeå University, Sweden, 2006. (pdf)
- On the sensitivity of the oblique projection,
Ji-guang Sun, Report UMINF 05.03, ISSN-0348-0542, Dept. of Computing
Science, Umeå University, S-901 87 Umeå, Sweden, 2005. (pdf)
- A note on perturbation expansions for small singular
values, Ji-guang Sun, Report UMINF 03.07, Dept. of Computing Science,
Umeå University, S-901 87 Umeå, Sweden, 2003. (pdf)
- Condition numbers of spectral projections,
Ji-guang Sun, Report UMINF 02.18, Dept. of Computing Science, Umeå
University, S-901 87 Umeå, Sweden, 2002. (pdf)
Theses
- Algorithms and Library Software for Periodic
and Parallel Eigenvalue Reordering and Sylvester-Type Matrix Equations
with Condition Estimation, Robert Granat, PhD Thesis,
UMINF 07.21, Dept. of Computing Science, Umeå University, Sweden,
ISBN 978-91-7264-410-6, November 2007. (pdf)
- Stratification of Matrix Pencils in Systems
and Control: Theory and Algorithms,
Stefan Johansson, Ph Licentiate Thesis, UMINF 05.17, Dept.
of Computing Science, Umeå University, Sweden, ISBN 91-7305-901-3,
May 2005. (pdf)
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