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Recursive construction of spectral basis and its application to matrices

A. Acus, A. Dargys

math-pharXiv:2609.24418

Abstract

We prove a recursive formula for construction of generalized spectral basis. Example of application is presented for symbolic computation with non-diagonalizable matrix that describes electromagnetic wave propagation in anisotropic media. The method is general enough and can be applied, for example, to multivectors of the Clifford algebra.

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