A New Method with Sufficient Descent Property for Unconstrained Optimization

Table 1

The test problems.

Number	Function name
P1	Generalized Tridiagonal 1
P2	Extended Himmelblau
P3	Liarwhd
P4	Diagonal 7
P5	Diagonal 8
P6	Nonscomp
P7	Cosine
P8	Hager
P9	Diagonal 2
P10	Raydan 1
P11	Extended Penalty
P12	Diagonal 3
P13	Generalized Quartic
P14	Power
P15	Extended Denschnf
P16	Perturbed Tridiagonal Quadratic
P17	Extended Denschnb
P18	Raydan 2
P19	Almost Perturbed Quadratic
P20	Extended BD1
P21	Extebded Tet
P22	Extended Denschnb
P23	Arwhead
P24	Extended Tridiagonal 2
P25	Quartc
P26	Extended Maratos
P27	Engval 1
P28	Extended Quadratic Exponential EP1