On Applications of the Generalized Fourier Transform in Numerical Linear Algebra

@inproceedings{hlander2004OnAO,
  title={On Applications of the Generalized Fourier Transform in Numerical Linear Algebra},
  author={Krister {\AA}hlander},
  year={2004}
}
Matrices equivariant under a group of permutation matrices are considered. Such matrices typically arise in numerical applications where the computational domain exhibits geometrical symmetries. In these cases, group representation theory provides a powerful tool for block diagonalizing the matrix via the Generalized Fourier Transform. This technique yields substantial computational savings in problems such as solving linear systems, computing eigenvalues and computing analytic matrix functions… CONTINUE READING
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Showing 1-10 of 16 references

and K

  • E. L. Allgowe
  • Georg, Exploiting symmetry in numerical solving…
  • 1999
2 Excerpts

Some applications of generalized FFTs, in Proceedings of the 1995 DIMACS Workshop on Groups and Computation, L

  • D. Rockmore
  • Finkelstein and W. Kantor, eds., June
  • 1997
2 Excerpts

Generalized FFTs - a survey of some recent results, Tech

  • D. Maslen, D. Rockmore
  • Rep. PCS-TR96-281, Dartmouth College, Department…
  • 1996
1 Excerpt

Exploiting permutation symmetry with fixed points in linear equations, in Lectures in Applied Mathematics, E

  • E. L. Allgower, K. Georg, R. Miranda
  • L. Allgower, K. Georg, and R. Miranda, eds., vol…
  • 1993

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