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Browsing Articles by Subject "rotations"

Browsing Articles by Subject "rotations"

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  • Computing approximate (block) rational Krylov subspaces without explicit inversion with extensions to symmetric matrices 
    Mach, Thomas; Pranić, Miroslav S.; Vandebril, Raf (Electronic Transactions on Numerical Analysis, 2014)
    It has been shown that approximate extended Krylov subspaces can be computed, under certain assumptions, without any explicit inversion or system solves. Instead, the vectors spanning the extended Krylov space are retrieved ...
  • On deflations in extended QR algorithms 
    Mach, Thomas; Vandebril, Raf (SIAM Journal on Matrix Analysis and Applications, 2014)
    In this paper we discuss the deflation criterion used in the extended QR algorithm based on the chasing of rotations. We provide absolute and relative perturbation bounds for this deflation criterion. Further, we present ...