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Recursive construction of spectral basis and its application to matrices
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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BibTeX
@misc{acus2026recursive,
title = {{Recursive construction of spectral basis and its application to matrices}},
author = {A. Acus and A. Dargys},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24418},
eprint = {2609.24418},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24418},
}
RIS
TY - UNPB
TI - Recursive construction of spectral basis and its application to matrices
AU - A. Acus
AU - A. Dargys
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24418
UR - https://arxiv.org/abs/2609.24418
AB - 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.
ER -