Singular values of two-parameter matrices: an algorithm to accurately find their intersections

@article{Dieci2008SingularVO,
  title={Singular values of two-parameter matrices: an algorithm to accurately find their intersections},
  author={Luca Dieci and Alessandro Pugliese},
  journal={Mathematics and Computers in Simulation},
  year={2008},
  volume={79},
  pages={1255-1269}
}
Consider the Singular Value Decomposition (SVD) of a two-parameter function A(x), x ∈ Ω ⊂ R, where Ω is simply connected and compact, with boundary Γ. No matter how differentiable the function A is (even analytic), in general the singular values lose all smoothness at points where they coalesce. In this work, we propose and implement algorithms which locate points in Ω where the singular values coalesce. Our algorithms are based on the interplay between coalescing singular values in Ω, and the… CONTINUE READING
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References

Publications referenced by this paper.
SHOWING 1-10 OF 13 REFERENCES

Comments on curve veering in eigenvalue problems

  • N. C. Perkins, C. D. Mote
  • Journal of Sound and Vibration, 106:451–463
  • 1986
1 Excerpt

Differential topology

  • M. W. Hirsch
  • Springer-Verlag, New–York
  • 1976

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