6 citations · 9 across the 5 of their papers we have counts for
6 papers
The Proximal Method of Multipliers for a Class of Nonsmooth Convex Optimization
Tomoya Takeuchi
This paper develops the proximal method of multipliers for a class of nonsmooth convex optimization. The method generates a sequence of minimization problems (subproblems). We show…
Multi-Parameter Tikhonov Regularization -- An Augmented Approach
Kazufumi Ito, Bangti Jin, Tomoya Takeuchi
We study multi-parameter regularization (multiple penalties) for solving linear inverse problems to promote simultaneously distinct features of the sought-for objects. We revisit a…
Nonsmooth method for constrained optimization
Kazufumi Ito, Tomoya Takeuchi
We propose an implicit iterative algorithm for an exact penalty method arising from inequality constrained optimization problems. A rapidly convergent fixed point method is develop…
A multi-moment scheme for the two dimensional Maxwell's equations
Kazufumi Ito, Tomoya Takeuchi
We develop a numerical scheme for solving time-domain Maxwell's equation. The method is motivated by CIP method which uses function values and its derivatives as unknown variables.…
CIP methods for hyperbolic system with variable and discontinuous coefficient
Kazufumi Ito, Tomoya Takeuchi
We propose a multi-moment method for one-dimensional hyperbolic equations with smooth coefficient and piecewise constant coefficient. The method is entirely based on the backward c…
Multi-Parameter Tikhonov Regularization
Kazufumi Ito, Bangti Jin, Tomoya Takeuchi
We study multi-parameter Tikhonov regularization, i.e., with multiple penalties. Such models are useful when the sought-for solution exhibits several distinct features simultaneous…