NO

Formula

Authors

1

${\beta }_k^{HS}=\frac{g_{k+1}^{\text{T}}{y}_k}{y_k^{\text{T}}{s}_k}$

Hestenes and Stiefel (HS) [6]

2

${\beta }_k^{FR}=\frac{g_{k+1}^{\text{T}}{g}_{k+1}}{g_k^{\text{T}}{g}_k}$

Fletcher and Reeves (FR) [7]

3

${\beta }_k^{PRP}=\frac{g_{k+1}^{\text{T}}{y}_k}{g_k^{\text{T}}{g}_k}$

Polak-Ribiere (PRP) [8] [9]

4

${\beta }_k^{CD}=\frac{g_{k+1}^{\text{T}}{g}_{k+1}}{y_k^{\text{T}}{s}_k}$

Conjugate Descent (CD) [10]

5

${\beta }_k^{LS}=\frac{g_{k+1}^{\text{T}}{y}_k}{-g_k^{\text{T}}{s}_k}$

Liu and Storey (LS) [11]

6

${\beta }_k^{DY}=\frac{g_{k+1}^{\text{T}}{g}_{k+1}}{y_k^{\text{T}}{s}_k}$

Dai-Yuan method (DY) [12]

7

${\beta }_k^{new}=\frac{g_{k+1}^{\text{T}}{y}_k}{d_k^{\text{T}}{y}_k}-{\alpha }_k^2\frac{d_k^{\text{T}}{g}_k}{y_k^{\text{T}}{y}_k}$

Al-Naemi and Hamed [13]