In addition to almost block diagonal linear
systems, I have also studied the high performance and parallel
solution to other structured linear systems. This research is still in
progress, and is enabled by my computer time grant from NCSA. In the
meantime, as an outgrowth of the Minisymposium I have organized at the
ICIAM'95 in Hamburg, I have co-edited a volume *High Performance
Solution to Structured Matrix Problems* with P. Arbenz, A.
Sameh and V. Sarin. The results of my research have been summarized in
the following publications:

"Solving Structured Matrix Problems on
a Cray Vector-Computer," with C. Cyphers, *Mathematica
Balcanica*, Vol. 13, 1999, 106-117

"Solving Block-Structured Matrix Problems
on RISC-based Supercomputers," with P. Yalamov and N.
Mastorakis, in: P. Borne et. al. (eds.), *Computational
Engineering in Systems Applications*, IMACS Press, 1998,
1141-1145

"Solving Block-Structured Linear Systems
on a Power Challenge 8000," with P. Yalamov, in: T. Philip
(ed.), *Proceedings of the ISCA 10th International Conference:
Computer Applications in Industry and Engineering,*ISCA Press,
Raleigh, NC, 1997, 123-126

"Level 3 BLAS Based Library for Block
Tridiagonal Matrices," with C. Cyphers, in: S. Elaydi,
et.al (eds.), *Advances in Difference Equations*, Gordon and
Breach, Amsterdam, 1997, 491-498

"Direct Methods for Spectral
Approximations in Non-conforming Domain Decompositions,"
with A. Karageorghis, *Journal of Computers in Mathematics
Applications*, 35(11), 1998, 75-82

"High Performance Solution of Linear
Systems Arising from Conforming Spectral Approximations for
Non-conforming Domain Decompositions," with A.
Karageorghis, in: L. Vulkov et. al. (eds.), *Proceedings of the
1st Workshop on Numerical Analysis and Applications*, Lecture
Notes in Computer Science 1196, Springer-Verlag, Berlin, 1997,
373-379

"High Performance Solution to
Structured Linear Systems," with C. Cyphers, in: E.
Minchev (ed.), *Invited Lectures and Short Communications
Delivered at the 4th International Colloquium on Numerical
Analysis*, Impulse-M, Sofia, Bulgaria, 1996, 131-140

"High Performance Solution of Linear
Systems Arising in Spectral Domain Decomposition
Techniques," with C. Cyphers and A. Karageorghis, in: A.
Dishlev (ed.), *Invited Lectures and Short Communications
Delivered at the 6th International Colloquium on Differential
Equations*, Impulse-M, Sofia, Bulgaria, 1996, 203-212

"An Efficient Direct Method for Fully
Conforming Spectral Collocation Schemes," with A.
Karageorghis, *Numerical Algorithms*, 12, 1996, 309-319

"Survey of Parallel Algorithms for Block
Bidiagonal Linear Systems," with P. Amodio and T. Politi,
*Journal of Computers in Mathematics Applications*, Vol. 31,
No 7, 1996, 111-127, appears also as: Report, University of Bari,
27/94

"Solving Block Bidiagonal Linear Systems
on Distributed Memory Computers," with P. Amodio and T.
Politi, *Proceedings of the Seventh International ISCA Conference
on Parallel and Distributed Computing Systems*, ISCA, Raleigh,
NC, 1994, 812-815