The criss-cross algorithm can solve quadratic programming problems and linear complementarity problems, even in the setting of oriented matroids.
12.
It employs a sparse sequential quadratic programming ( SQP ) algorithm with limited-memory quasi-Newton approximations to the Hessian of Lagrangian.
13.
By substituting w by its expression in the Lagrangian formed from the appropriate objective and constraints, we will get the following quadratic programming problem:
14.
Since the dual maximization problem is a quadratic function of the c _ i subject to linear constraints, it is efficiently solvable by quadratic programming algorithms.
15.
Quadratic programming is particularly simple when " Q " is positive definite and there are only equality constraints; specifically, the solution process is linear.
16.
At an iterate x _ k, a basic sequential quadratic programming algorithm defines an appropriate search direction d _ k as a solution to the quadratic programming subproblem
17.
At an iterate x _ k, a basic sequential quadratic programming algorithm defines an appropriate search direction d _ k as a solution to the quadratic programming subproblem
18.
A two-class version called "'binary MIRA "'simplifies the algorithm by not requiring the solution of a quadratic programming problem ( see below ).
19.
MOMA predicts the immediate sub-optimal flux distribution following the perturbation by minimizing the distance ( Euclidean ) between the wild-type FBA flux distribution and the mutant flux distribution using quadratic programming.
20.
These ideas were mainly developed for general nonlinear programming, but they were later abandoned due to the presence of more competitive methods for this class of problems ( e . g . sequential quadratic programming ).
