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The key operation to obtain stationary and transient solutions of transition systems described by Kronecker structured formalisms is the Vector-Descriptor product. This operation is usually performed with shuffling operations and matrices aggregations to reduce the floating point multiplications inside iterative methods. Due to the flexibility of the(More)
Numerical analysis of Markovian models is relevant for performance evaluation and probabilistic analysis of systems' behavior from several fields in science and engineering. These models can be represented in a compact fashion using Kro-necker algebra. The Vector-Descriptor Product (VDP) is the key operation to obtain stationary and transient solutions of(More)
The solution of Markovian models is usually non-trivial to be performed using iterative methods, so it is well-fitted to simulation approaches and high performance implementations. The Bootstrap simulation method is a novel simulation technique of Markovian models that brings a considerable improvement in the results accuracy, notwithstanding its higher(More)
Numerical analysis of Markovian models is relevant for performance evaluation and probabilistic analysis of systems' behavior from several fields such as Bioinformatics, Economics, and Engineering. These models can be represented in a compact fashion using Kronecker algebra. The Vector-Descriptor Product is the key operation to obtain stationary solutions(More)
This paper is devoted to procedures for the finite element modeling of straight beams and rectangular plates treated with a surface damping treatment known as constraining damping layer, which is formed by a film of viscoelastic material inserted between the base structure and a thin metal sheet. It has been demonstrated that this type of treatment is very(More)
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