Developing linear algebra packages on Risa/Asir for eigenproblems

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Abstract

We are developing linear algebra packages on Risa/Asir, a computer algebra system. The aim is to provide programs for efficiently and exactly solving eigenproblems on the computer algebra system for large scale square matrices over integers or rational numbers. The software package consists of some programs. The followings are currently prepared for solving eigenproblems: computing eigenspaces, the spectral decomposition, Jordan chains and minimal annihilating polynomials. © 2014 Springer-Verlag.

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Ohara, K., Tajima, S., & Terui, A. (2014). Developing linear algebra packages on Risa/Asir for eigenproblems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8592 LNCS, pp. 321–324). Springer Verlag. https://doi.org/10.1007/978-3-662-44199-2_50

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