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Elad [29] designed the measurement matrix based on mutual coherence minimization using a shrinkage operation.
Equilibrium conformations were obtained by potential energy minimization using a modified Newton algorithm.
However the additive structure of the energy can be used to conduct its minimization using a Gibbs sampler.
Although the p-algorithm makes use of two consecutive OFDM blocks like the Moose and Classen methods, it is based on cost function minimization using a search space and so it performs better than the Moose and Classen methods.
The complex was refined by energy minimization using a dielectric constant of 1.0 and 100 cycles of steepest-descent minimization followed by 100 cycles of conjugate-gradient minimization.
With water molecules stripped off, the average structure with the shortest distance was then energy minimized (performing 50 cycles of steepest-descent minimization and then 150 cycles of conjugate-gradient minimization using a dielectric constant of 80.0).
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The 10-step energy minimization uses a gradient cut-off of 10−7 kcal/(molÅ) and is repeated until the NMA shows that the ligand is in a local minimum conformation.
The 10 step energy minimization uses a gradient cut-off of 10−7 kcal/(molÅ) and is repeated until the normal mode analysis shows that the guest is in a local minimum conformation.
Minimization uses a Truncated Newton algorithm [ 76], an OPLS-AA force field and a surface generalized Born (SGB) implicit solvent [ 77].
We first perform several repeated minimizations using a bounded local minimization strategy with uniformly sampled initial conditions to gain a set of maximum a posteriori parameters estimates on a logarithmic scale.
We optimized the 3-D structure thermodynamically by energy minimization using MOE and an AMBER94 force field.
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