5,825 research outputs found
Variable Metric Forward-Backward Splitting with Applications to Monotone Inclusions in Duality
We propose a variable metric forward-backward splitting algorithm and prove
its convergence in real Hilbert spaces. We then use this framework to derive
primal-dual splitting algorithms for solving various classes of monotone
inclusions in duality. Some of these algorithms are new even when specialized
to the fixed metric case. Various applications are discussed
Bubble generation in a twisted and bent DNA-like model
The DNA molecule is modeled by a parabola embedded chain with long-range
interactions between twisted base pair dipoles. A mechanism for bubble
generation is presented and investigated in two different configurations. Using
random normally distributed initial conditions to simulate thermal
fluctuations, a relationship between bubble generation, twist and curvature is
established. An analytical approach supports the numerical results.Comment: 7 pages, 8 figures. Accepted for Phys. Rev. E (in press
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