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Application of Matrix Decompositions for Matrix Canonization
Computational Mathematics and Mathematical Physics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Volkov V., Dem’yanov D.
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Matrix Algebras and Displacement Decompositions [PDF]
SIAM Journal on Matrix Analysis and Applications, 2000 This paper investigates classes of complex \(n\times n\) matrices for which there are formulae enabling computation of a matrix vector product \(Af\) by means of a small number of fast discrete transforms. The basic formula is the ``displacement formula'': \(A=\sum_{m=1}^{\alpha}L_{m}U_{m}\) where \(L_{m}\) and \(U_{m}\) are lower and upper triangular ...
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Matrix decomposition MFS algorithms
WIT Transactions on Modelling and Simulation, Vol 42, 2006We describe the application of the Method of Fundamental Solutions (MFS) to elliptic boundary value problems in rotationally symmetric problems. In particular, we show how efficient matrix decomposition MFS algorithms can be developed for such problems. The efficiency of these algorithms is optimized by using Fast Fourier Transforms (FFTs).
Karageorghis, Andreas +3 more
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N-decomposition and decomposition matrix for automata
Proceedings of the annual conference on - ACM'73, 1973This continues the study on generalized mutiple decomposition allowing 2-way interconnection [1]. Let NeZ+.An automaton M e D, T,F> is an N-automaton iff the set of states D ≤ πSi and each Si e πi (D) where πi is the projection map onto the ith component.
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
exaly