Therefore, the quasi-Newton method approximates the matrix by some efficient method using the first derivatives, the gradient.
The logarithm pseudo-likelihood function L is defined by (16) L = log ∏ n = 1 N ∏ i ∏ j P r (r i j (n ) | r N i j (n ), m (n ), a (n ), b (n ), θ ) We employ the Broyden-Fletcher-Goldfarb-Shanno (BFGS) method [ 24] to find parameters θ maximizing L, which is a quasi-Newton method that approximates the Hessian matrix by some efficient method using partial differentials.
Recent research has been directed toward synthesis of zeolite membranes by more efficient methods or on more cost-effective supports and microstructural engineering of the zeolite membranes.
Within this context, research efforts will be greatly facilitated by the continuous advances in standardization of protein fractionation techniques and mass spectrometric platforms, complemented by more efficient methods of peptide enrichment.
Thus they must be solved by using some efficient numerical methods.
(See figure). In 1685, in his Sectiones Conicæ, Philippe de la Hire (1640 1718), a Parisian painter turned mathematician, proved several hundred propositions in Apollonius's Conics by Desargues's efficient methods.
In 1685, in his Sectiones Conicæ, Philippe de la Hire (1640 1718), a Parisian painter turned mathematician, proved several hundred propositions in Apollonius's Conics by Desargues's efficient methods.
The paper reduces the complexity of the solution by first proposing efficient methods for the construction, the update, and the dimension reduction of the IDNC graph.
The paper reduces the complexity of the solution by first proposing efficient methods for the construction, the update, and the dimension reduction of the local IDNC graph.
The complexity of the solution is reduced by first proposing efficient methods for the construction, the update, and the dimension reduction of the IDNC graph.
