12 citations · 59 across the 16 of their papers we have counts for
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Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh$\unicode{x2013}$Ritz procedure for generalized Hermitian eigenvalue problems
Akira Imakura, Keiichi Morikuni, Akitoshi Takayasu
We propose a verified computation method for eigenvalues in a region and the corresponding eigenvectors of generalized Hermitian eigenvalue problems. The proposed method uses compl…
GMRES Methods for Tomographic Reconstruction with an Unmatched Back Projector
Per Christian Hansen, Ken Hayami, Keiichi Morikuni
Unmatched pairs of forward and back projectors are common in X-ray CT computations for large-scale problems; they are caused by the need for fast algorithms that best utilize the c…
Cross-interactive residual smoothing for global and block Lanczos-type solvers for linear systems with multiple right-hand sides
Kensuke Aihara, Akira Imakura, Keiichi Morikuni
Global and block Krylov subspace methods are efficient iterative solvers for large sparse linear systems with multiple right-hand sides. However, global or block Lanczos-type solve…