Research Article

Accelerated Double Direction Method for Solving Unconstrained Optimization Problems

Table 1

Number of iterations needed in developing SM, ADD, and NADD on 25 large-scale test functions.

Test function SMADDNADD

Extended penalty >
Perturbed quadratic >
Raydan 1 >
Diagonal 1 >
Diagonal 3 >
Generalized tridiagonal 1 >
Extended tridiagonal 1 >
Extended three exponential terms
Diagonal 4 >
Extended Himmelblau >
Quadratic diagonal perturbed >
Quadratic QF1 >
Extended quadratic penalty QP1 >
Extended quadratic penalty QP2 >
Quadratic QF2 >
Extended EP1 >
Extended tridiagonal 2 >
Arrwhead >
Almost perturbed quadratic >
Engval1 >
QUARTC
Generalized quartic
Diagonal 7 >
Diagonal 8 >
Diagonal 9 >