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Proceedings ArticleDOI
17 Jul 1989
20 Citations
This unifies various known algorithms for computations with dense structured matrices and enables us to extend any progress in computations with matrices of one class to the computations with other classes of matrices.
Open accessProceedings ArticleDOI
René Thiemann, Akihisa Yamada 
18 Jan 2016
24 Citations
To this end, we develop a new library for matrices that allows us to conveniently work with block matrices.
Proceedings ArticleDOI
Alan P. Sexton, Volker Sorge 
09 Jul 2006
20 Citations
We introduce a new data type of abstract matrices that allows the description of underspecified matrices containing ellipses and their use as templates for classes of concrete matrices.
An optimal solution to the problem that we were able to solve (the smaller one) gives some new information on the 1-widths of members of this class of (0,1)-matrices.
Some of the results generalize known results for M -matrices, N 0 -matrices, and F 0 -matrices and for inverse M -matrices, inverse N 0 -matrices, and inverse F 0 -matrices.
Simulation results demonstrate that these matrices perform almost as well as random matrices.
Such matrices may have negative entries and generalize the primitive matrices in important ways.
Our results shows that these deterministic matrices out performs other popular matrices.

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