Abstract
Recent results of M. Maruyama on vector bundles over the projective plane give new information on the problem of classifying m-tuples of n by n matrices upto simultaneous equivalence.
As an application we also give a linearization procedure for partial differential equations of the form \(\sum\limits_{i + j + k = n} {a_{ijk} \tfrac{{\partial ^n \psi }}{{\partial x^i \partial y^j \partial z^k }}} = c^n \psi\).
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© 1989 Springer-Verlag
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Le Bruyn, L. (1989). Simultaneous equivalence of square matrices. In: Malliavin, MP. (eds) Séminaire d’Algèbre Paul Dubreil et Marie-Paul Malliavin. Lecture Notes in Mathematics, vol 1404. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084074
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DOI: https://doi.org/10.1007/BFb0084074
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