4 papers
Kaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear systems
Yi-Shu Du, Ken Hayami, Ning Zheng +2
We propose using greedy and randomized Kaczmarz inner-iterations as preconditioners for the right-preconditioned flexible GMRES method to solve consistent linear systems, with a pa…
Shifted Lanczos method for quadratic forms with Hermitian matrix resolvents
Keiichi Morikuni
Quadratic forms of Hermitian matrix resolvents involve the solutions of shifted linear systems. Efficient iterative solutions use the shift-invariance property of Krylov subspaces…
Multiclass spectral feature scaling method for dimensionality reduction
Momo Matsuda, Keiichi Morikuni, Akira Imakura +2
Irregular features disrupt the desired classification. In this paper, we consider aggressively modifying scales of features in the original space according to the label information…
Spectral feature scaling method for supervised dimensionality reduction
Momo Matsuda, Keiichi Morikuni, Tetsuya Sakurai
Spectral dimensionality reduction methods enable linear separations of complex data with high-dimensional features in a reduced space. However, these methods do not always give the…