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- W2991502564 abstract "This contribution describes a new approach to a solution of multidimensional dynamical systems using the La-place transform and geometrical product, i.e. using inner product (dot product, scalar product) and outer product (extended cross-product). It leads to a linear system of equations Ax=0 or Ax=b which is equivalent to the outer product if the projective extension of the Euclidean system and the principle of duality are used. The paper explores property of the geometrical product in the frame of multidimensional dynamical systems. The proposed approach enables to avoid division operation and extents numerical precision as well. It also offers applications of matrix-vector and vector-vector operations in symbolic manipulation, which can lead to new algorithms and/or new formula. The proposed approach can be applied also for stability evaluation of dynamical systems. In the case of numerical computation, it supports vector operation and SSE instructions or GPU can be used efficiently." @default.
- W2991502564 created "2019-12-05" @default.
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- W2991502564 date "2018-12-01" @default.
- W2991502564 modified "2023-10-14" @default.
- W2991502564 title "Geometric Product for Multidimensional Dynamical Systems - Laplace Transform and Geometric Algebra" @default.
- W2991502564 doi "https://doi.org/10.1109/eecs.2018.00018" @default.
- W2991502564 hasPublicationYear "2018" @default.
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