Displaying similar documents to “An algorithm to compute the change basis for the rational form of K-endomorphisms.”

A rational canonical form algorithm

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.

Numerical operations among rational matrices: standard techniques and interpolation

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...

Inversion of square matrices in processors with limited calculation abillities

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...