arXiv subjects

Jinping Song

Publications and source records attributed to Jinping Song.

2 recordsLinked to original sources

arXiv2016

Superiorized iteration based on proximal point method and its application to XCT image reconstruction

In this paper, we investigate how to determine a better perturbation for superiorized iteration. We propose to seek the perturbation by proximal point method. In our method, the direction and amount of perturbation are computed simultaneously. The convergence conditions are also discussed for bounded perterbation resilence iteration. Numerical experiments on simulated XCT projection data show that the proposed method improves the convergence rate and the image quality.

math.NA↗

arXiv2001

Bäcklund transformations for high-order constrained flows of the AKNS hierarchy: canonicity and spectrality property

New infinite number of one- and two-point Bäcklund transformations (BTs) with explicit expressions are constructed for the high-order constrained flows of the AKNS hierarchy. It is shown that these BTs are canonical transformations including Bäcklund parameter $η$ and a spectrality property holds with respect to $η$ and the 'conjugated' variable $μ$ for which the point $(η, μ)$ belongs to the spectral curve. Also the formulas of m-times repeated Darboux transformations for the high-order constrained flows of the AKNS hierarchy are presented.

nlin.SI↗