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Locating coalescing singular values of large two-parameter matrices

Author

Listed:
  • Dieci, Luca
  • Gasparo, M. Grazia
  • Papini, Alessandra
  • Pugliese, Alessandro

Abstract

Consider a matrix valued function A(x)∈Rm×n, m≥n, smoothly depending on parameters x∈Ω⊂R2, where Ω is simply connected and bounded. We consider a technique to locate parameter values where some of the q dominant (q≤n) singular values of A coalesce, in the specific case when A is large and m>n≫q.

Suggested Citation

  • Dieci, Luca & Gasparo, M. Grazia & Papini, Alessandra & Pugliese, Alessandro, 2011. "Locating coalescing singular values of large two-parameter matrices," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(5), pages 996-1005.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:5:p:996-1005
    DOI: 10.1016/j.matcom.2010.10.005
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    References listed on IDEAS

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    1. Dieci, Luca & Pugliese, Alessandro, 2008. "Singular values of two-parameter matrices: an algorithm to accurately find their intersections," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(4), pages 1255-1269.
    2. Nonnenmacher, Achim & Lubich, Christian, 2008. "Dynamical low-rank approximation: applications and numerical experiments," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(4), pages 1346-1357.
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