The rational canonical form of a matrix.
Devitt, J.S., Mollin, R.A. (1986)
International Journal of Mathematics and Mathematical Sciences
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Devitt, J.S., Mollin, R.A. (1986)
International Journal of Mathematics and Mathematical Sciences
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Kublanovskaya, V.N. (2004)
Zapiski Nauchnykh Seminarov POMI
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Keith R. Matthews (1992)
Mathematica Bohemica
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We present an easy-to-implement algorithm for transforming a matrix to rational canonical form.
Larin, Vladimir B. (2003)
International Journal of Mathematics and Mathematical Sciences
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Pavla Holasová (1975)
Aplikace matematiky
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Petr Hušek, Michael Šebek, Jan Štecha (1999)
Kybernetika
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Numerical operations on and among rational matrices are traditionally handled by direct manipulation with their scalar entries. A new numerically attractive alternative is proposed here that is based on rational matrix interpolation. The procedure begins with evaluation of rational matrices in several complex points. Then all the required operations are performed consecutively on constant matrices corresponding to each particular point. Finally, the resulting rational matrix is recovered...
Krzysztof Janiszowski (2003)
International Journal of Applied Mathematics and Computer Science
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An iterative inversion algorithm for a class of square matrices is derived and tested. The inverted matrix can be defined over both real and complex fields. This algorithm is based only on the operations of addition and multiplication. The numerics of the algorithm can cope with a short number representation and therefore can be very useful in the case of processors with limited possibilities, like different neuro-computers and accelerator cards. The quality of inversion can be traced...
Pan, V.Y. (2004)
Zapiski Nauchnykh Seminarov POMI
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