Communications of the ACM
Improved Tools For Structured Matrix Computations
In his dissertation work, Andrii Dmytryshyn of the Department of Computing Science at Ume University has constructed stratification graphs, which can provide a deeper understanding of how the characteristics of an underlying physical system can change un
Credit: Mikael Hansson
Designing and analyzing a model of a mechanical system is often a complex problem requiring high-quality mathematical theories and computational tools. Small changes in input data can have a large impact on the computed system characteristics, which makes designing and analyzing them difficult.
These types of problems can be examined using stratification theory for structured matrix pencils; this theory enables a matrix to be viewed as a large table of numbers. A matrix pencil consists of a pair of matrices and relates to the generalized eigenvalue problem.
Umea University researcher Andrii Dmytryshyn has constructed stratification graphs to provide information for a deeper understanding of how the characteristics of an underlying physical system can change under small perturbations. The program also can identify more degenerate and more generic examples of a specific system, which can lead to a better understanding of how different types of control systems can be improved.
From Umea University (Sweden)
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