In my dissertation I have studied the high performance and parallel
solution of Almost Block Diagonal (ABD) linear systems. This research
has not been completed upon defending my thesis. First, I have
established cooperation with Pierluigi Amodio, which led to a number
of additional results. Second, this has been a starting point to a
more general research on the solution of structured linear systems . The results up to date
have been summarized in the following publications. All papers listed
here are "Technical Report" quality and copyrighted
originals should be used for all purposes over and above plain
curiosity.

"Almost Block Diagonal Linear Systems:
Sequential and Parallel Solution Techniques, and
Applications," with P. Amodio, J. Cash, G. Roussos, R.
Wright, G. Fairweather, I. Gladwell and G, Kraut, *Numerical
Linear Algebra and Applications*, Vol. 7, 2000, 275-317

"A Cyclic Reduction Approach to the
Numerical Solution of Boundary Value ODE's," with P.
Amodio, *SIAM Journal of Scientific Computing*, Vol. 18, No.
1, 1997, 56-68

"Recent Advances in the Parallel
Solution to Almost Block Diagonal Systems," with P.
Amodio, *ZAMM*, Vol. 76, S2, 1996, 1-4

"On the Parallel Solution of Almost
Block Diagonal Systems," with P. Amodio, *Control and
Cybernetics*, Vol. 25, No. 3, 1996, 645-656

"Parallel Solution of Almost Block
Diagonal Systems on a Hypercube," with P. Amodio,
*Linear Algebra and Applications*, Vol. 176, 1996, 85-103

"High Performance Solution of Partial
Differential Equations Discretized Using a Chebyshev Spectral
Collocation Method," with C. Cyphers and A. Karageorghis,
*Journal of Computational and Applied Mathematics*, 66(1),
1996, 71-80

"Parallel Solution of Almost Block
Diagonal Systems Using Level 3 BLAS," with I. Gladwell,
*Journal of Computational and Applied Mathematics*, Vol. 45,
1993, 181-189

"Using Level 3 BLAS to Solve Almost Block
Diagonal Systems," with I. Gladwell, in: Dongarra, J.,
et.al. (eds.), *Parallel Processing for Scientific Computing*,
SIAM, Philadelphia, 1992, 52-62

"Solving Almost Block Diagonal Systems
on Parallel Computers," with I. Gladwell, *Parallel
Computing*, No. 17, 1991, 133-153

Together with Cliff Cyhers we have developed an efficient level 3 BLAS based solver for ABD linear systems:

"A Level 3 BLAS Based Solver for Almost Block Diagonal Systems," with C. Cyphers, SMU Software Report No. 92-3, 1992