\begin{table}[h!b!p!]
\caption{رفتار روش نقطه درونی مرتبه اول با جست‌و‌جوی خطی نادقیق روی 9 تابع آزمایشی از منبع \cite{Moré1981Testing unconstrained optimization software} با $n=1000$ و $\mathbf{x}^0=e/n$}
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\begin{tabular}{|l|l|l|l|l|l|l|l|l|}
\hline 
$\text{Problem} \;  $ & $ \gamma \; $ & $\text{iter} \;  $ & $\text{nf} \;  $ &  $\text{cpu} \;  $ & $\text{obj} \;  $ & $\text{resid} \;  $ &  $\text{step} \;  $ & $\text{sc} \;  $ & \\ 
\hline 
$\text{ER(21)}$ &  $0.5$ &  $6$ &  $7$    & $0.03$  &  $498.002$  &    $3.4 \times 10^{-7}$   &  $0.47$   &  $0.001$  \\ 
$\qquad$ &  $0.8$ &  $5$ &  $6$  & $0.01$  &  $498.002$ & $5.2 \times 10^{-7}$ &  $7.9 \times 10^3$   &  $0.001$  \\ 
$\qquad$ &  $0.9$ &  $5$ &  $6$  & $0.01$  &  $498.002$ & $6.8 \times 10^{-7}$ &  $4.4 \times 10^4$   &  $0.001$  \\ 
$\qquad$ &  $1$    &  $7$ &  $8$  & $0.03$  &  $498.002$ & $2.6 \times 10^{-7}$ &  $3.5 \times 10^6$   &  $0.001$  \\ 
$\qquad$ &  $1.1$ &  $8$ &  $9$  & $0.02$  &  $498.002$ & $8.4 \times 10^{-7}$ &  $5.6 \times 10^7$   &  $0.001$  \\ 
$\qquad$ &  $1.2$ &  $10$ & $11$  & $0.03$  &  $498.002$ & $3.7 \times 10^{-7}$ &  $3.5 \times 10^9$   &  $0.001$  \\ 
$\text{DBV(28)}$ & $0.5$ & $117$ & $352$ & $0.4$ & $4.5 \times 10^{-8}$  &  $9.8 \times 10^{-5}$ & $59.3$ &  $0.0003$  \\ 
$\qquad$ & $0.8$ & $99$ & $299$ & $0.42$ & $4.9 \times 10^{-8}$  &  $9.8 \times 10^{-5}$ & $1.8 \times 10^3$ &  $0.0003$  \\ 
$\qquad$ & $0.9$ & $107$ & $323$ & $0.45$ & $4.7 \times 10^{-8}$  &  $9.7 \times 10^{-5}$ & $7.4 \times 10^3$ &  $0.0003$  \\ 
$\qquad$ & $1$ & $146$ & $440$ & $0.52$ & $4.5 \times 10^{-8}$  &  $9.8 \times 10^{-5}$ & $2.9 \times 10^4$ &  $0.0003$  \\ 
$\qquad$ & $1.1$ & $191$ & $575$ & $0.82$ & $4.3 \times 10^{-8}$  &  $9.9 \times 10^{-5}$ & $1.1 \times 10^5$ &  $0.0003$  \\ 
$\qquad$ & $1.2$ & $240$ & $722$ & $1.02$ & $4.0 \times 10^{-8}$  &  $9.9 \times 10^{-5}$ & $4.7 \times 10^5$ &  $0.0003$  \\ 
$\text{BT(30)}$ & $0.5$ & $3,893$ & $3,894$ & $4.25$ & $999.030$  &  $9.9 \times 10^{-4}$ & $0.15$ &  $0.007$  \\ 
$\qquad$ & $0.8$ & $9,146$ & $27,409$ & $20.68$ & $999.031$  &  $9.9 \times 10^{-4}$ & $0.50$ &  $0.006$  \\ 
$\qquad$ & $0.9$ & $38,124$ & $114,346$ & $87.05$ & $999.033$  &  $9.9 \times 10^{-4}$ & $0.69$ &  $0.006$  \\ 
$\qquad$ & $1   $ & $17,559$ & $52,665$ & $23.31$ & $999.055$  &  $9.9 \times 10^{-4}$ & $0.45$ &  $0.01$  \\ 
$\qquad$ & $1.1 $ & $83,209$ & $249,222$ & $191.06$ & $999.077$  &  $9.9 \times 10^{-4}$ & $0.65$ &  $0.01$  \\ 
$\qquad$ & $1.2 $ & $527,757$ & $1.58 \times 10^6$ & $1,192.55$ & $999.081$  &  $9.9 \times 10^{-4}$ & $1.14$ &  $0.01$  \\ 
$\text{TRIG(26)}$ & $0.5$ & $41$ & $121$ & $0.11$ & $1.1 \times 10^{-6}$  &  $9.0 \times 10^{-7}$ & $623.6$ &  $0.0006$  \\ 
$\qquad$ & $0.8$ & $39$ & $115$ & $0.14$ & $9.5 \times 10^{-7}$  &  $9.9 \times 10^{-7}$ & $3.6 \times 10^4$ &  $0.0006$  \\ 
$\qquad$ & $0.9$ & $73$ & $214$ & $0.24$ & $9.0 \times 10^{-7}$  &  $9.8 \times 10^{-7}$ & $8.6 \times 10^4$ &  $0.0006$  \\ 
$\qquad$ & $1$ & $95$ & $271$ & $0.22$ & $9.7 \times 10^{-7}$  &  $8.3 \times 10^{-7}$ & $5.3 \times 10^5$ &  $0.0006$  \\ 
$\qquad$ & $1.1$ & $52$ & $143$ & $0.17$ & $8.8 \times 10^{-7}$  &  $8.1 \times 10^{-7}$ & $2.3 \times 10^6$ &  $0.0006$  \\ 
$\qquad$ & $1.2$ & $86$ & $223$ & $0.27$ & $1.1 \times 10^{-6}$  &  $9.9 \times 10^{-7}$ & $6.4 \times 10^6$ &  $0.0006$  \\ 
$\text{BAL(27)}$ & $0.5$ & $6^\text{a}$ & $63$ & $0.02$ & $9.98998 \times 10^{8}$  &  $1.9 \times 10^{-5}$ & $6.5 \times 10^{-21}$ &  $0.001$  \\ 
$\qquad$ & $0.8$ & $8^\text{a}$ & $8^4$ & $0.02$ & $9.98998 \times 10^{8}$  &  $1.4 \times 10^{-6}$ & $6.0 \times 10^{-21}$ &  $0.001$  \\ 
$\qquad$ & $0.9$ & $6$ & $7$ & $0.01$ & $9.98998 \times 10^{8}$  &  $6.1 \times 10^{-7}$ & $113.648$ &  $0.001$  \\ 
$\qquad$ & $1$ & $7$ & $8$ & $0.03$ & $9.98998 \times 10^{8}$  &  $3.6 \times 10^{-8}$ & $1947.55$ &  $0.001$  \\ 
$\qquad$ & $1.1$ & $9^\text{a}$ & $9^4$ & $0.03$ & $9.98998 \times 10^{8}$  &  $1.0 \times 10^{-6}$ & $6.4 \times 10^{-21}$ &  $0.001$  \\ 
$\qquad$ & $1.2$ & $8$ & $9$ & $0.02$ & $9.98998 \times 10^{8}$  &  $3.7 \times 10^{-7}$ & $123,466$ &  $0.001$  \\ 
$\text{EPS(22)}$ & $0.5$ & $120$ & $313$ & $0.43$ & $1.3 \times 10^{-6}$  &  $9.9 \times 10^{-4}$ & $39.23$ &  $0.0001$  \\ 
$\qquad$ & $0.8$ & $424$ & $1,269$ & $1.89$ & $1.3 \times 10^{-6}$ & $9.9 \times 10^{-4}$ & $1503.22$ & $0.0002$  \\
$\qquad$ & $0.9$ & $644$ & $1,929$ & $2.85$ & $2.4 \times 10^{-6}$ & $9.9 \times 10^{-4}$ & $5984.43$ & $0.0002$ \\ 
$\qquad$ & $1$ & $987$ & $2,958$ & $3.52$ & $3.9 \times 10^{-6}$ & $9.9 \times 10^{-4}$ & $23824.5$ & $0.0003$  \\ 
$\qquad$ & $1.1$ & $870$ & $2,608$ & $3.81$ & $5.9 \times 10^{-6}$ & $9.9 \times 10^{-4}$ & $47423.4$ & $0.0003$  \\ 
$\qquad$ & $1.2$ & $1,963$ & $5,887$ & $8.76$ & $8.0 \times 10^{-6}$ & $9.4 \times 10^{-4}$ & $188.796$ & $0.0004$  \\
$\text{VD(25)}$ & $0.5$ & $503^{\text{a}}$ & $17,505$ & $18.78$ & $6.22504 \times 10^{22}$  &  $2.9 \times 10^{10}$ & $9.5 \times 10^{-22}$ &  $-2 \times 10^{10}$  \\ 
$\qquad$ & $0.8$ & $22$ & $74$ & $0.04$ & $6.22504 \times 10^{22}$  &  $2.4 \times 10^{-9}$ & $9.5 \times 10^{-14}$ &  $1$  \\ 
$\qquad$ & $0.8$ & $22$ & $74$ & $0.04$ & $6.22504 \times 10^{22}$  &  $2.4 \times 10^{-9}$ & $9.5 \times 10^{-14}$ &  $1$  \\ 
$\qquad$ & $0.9$ & $19$ & $43$ & $0.03$ & $6.22504 \times 10^{22}$  &  $1.6 \times 10^{-8}$ & $3.7 \times 10^{-19}$ &  $1$  \\ 
$\qquad$ & $1$ & $19$ & $46$ & $0.04$ & $6.22504 \times 10^{22}$  &  $2.6 \times 10^{-8}$ & $6.3 \times 10^{-19}$ &  $1$  \\ 
$\qquad$ & $1.1$ & $20$ & $86$ & $0.04$ & $6.22504 \times 10^{22}$  &  $8.8 \times 10^{-8}$ & $2.1 \times 10^{-20}$ &  $1$  \\ 
$\qquad$ & $1.2$ & $18$ & $50$ & $0.05$ & $6.22504 \times 10^{22}$  &  $5.7 \times 10^{-9}$ & $6.5 \times 10^{-19}$ &  $0.9$  \\ 
$\text{LR1(33)}$ & $0.5$ & $30,595^{\text{a}}$ & $30,624$ & $50.12$ & $3.32834 \times 10^{8}$  &  $1.5 \times 10^{-4}$ & $1.4 \times 10^{-12}$ &  $0.9$  \\ 
$\qquad$ & $0.8$ & $20$ & $21$ & $0.04$ & $3.32834 \times 10^{8}$  &  $9.5 \times 10^{-7}$ & $2.0 \times 10^{-4}$ &  $0.9$  \\ 
$\qquad$ & $0.9$ & $19$ & $20$ & $0.04$ & $3.32834 \times 10^{8}$  &  $9.5 \times 10^{-7}$ & $2.3 \times 10^{-3}$ &  $0.9$  \\ 
$\qquad$ & $1$ & $19$ & $20$ & $0.03$ & $3.32839 \times 10^{8}$  &  $3.5 \times 10^{-7}$ & $0.031$ &  $1$  \\ 
$\qquad$ & $1.1$ & $19$ & $20$ & $0.03$ & $3.32911 \times 10^{8}$  &  $5.9 \times 10^{-7}$ & $0.16$ &  $0.9$  \\
$\qquad$ & $1.2$ & $20$ & $21$ & $0.03$ & $3.33481 \times 10^{8}$  &  $9.9 \times 10^{-7}$ & $0.77$ &  $0.9$  \\ 
$\text{LR1Z(34)}$ & $0.5$ & $3,454^{\text{a}}$ & $3,538$ & $3.96$ & $251.125 $  &  $145.94 $ & $8.8 \times 10^{-21}$ &  $-7.9$  \\ 
$\qquad$ & $0.8$ & $21^{\text{a}}$ & $88$  & $0.05 $   &  $251.125 $ & $ 119.46$ & $9.9 \times 10^{-21}$ &  $-6.5$  \\
$\qquad$ & $0.9$ & $34^{\text{a}}$ & $129$ & $0.07$   &  $251.125 $ & $ 3.7 \times 10^{-6}$  & $8.8 \times 10^{-21}$ &  $0.01$  \\ 
$\qquad$ & $1$    & $25^{\text{a}}$ & $102$ & $0.05$   &  $251.125 $ & $170.84$  &   $8.8 \times 10^{-21} $ &  $-9.3$  \\ 
$\qquad$ & $1.1$ & $30^{\text{a}}$ & $119$ & $0.06$   &  $251.125 $ &  $ 5.8 \times 10^{-7}$  & $7.35$ &  $0.008$  \\ 
$\qquad$ & $1.2$ & $65^{\text{a}}$ & $224$ & $0.13$   &  $251.125 $ &   $ 3.7 \times 10^{-7}$  &$41.94$ &  $0.01$  \\ 

\hline 
\end{tabular} 
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\label{tbl: table1}
\end{table}