\documentclass{article}
\usepackage{tabu}
\usepackage{multirow}
\newcommand{\tabseven}[7]{&${#1}$&${#2}$&${#3}$&${#4}$&${#5}$&${#6}$&${#7}$}
\begin{document}
\section{Numerical examples}
\begin{table}
 \caption{Numerical results for the test problem. 
 }\label{tabliddriven}
\scriptsize
\begin{tabular}
{c|c|c|c c c c c c c}  \\
         \hline \\[.1mm]
  &Preconditioner&$\beta$ \tabseven{10^{-5}}{10^{-3}}{10^{-1}}{1}{10^{1}}{10^{3}}{10^{5}}\\
 \hline 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
 \multirow{12}{*}{$\alpha=0$ }   
    & &$\gamma_{opt}$ \tabseven{-1}{-5}{0}{-10}{-5}{-5}{-5}\\
     &$P11$& CPU \tabseven{20.1524}{20.3897}{21.6320}{20.9403}{21.0267}{20.6878}{20.0209}\\
       &&IT \tabseven{2}{3}{5}{4}{4}{3}{2}\\
      & &$\gamma_{opt}$ 
      \\
    &$P110$& CPU\\
   &&IT\\
         & &$\gamma_{opt}$\\
     &$P12$& CPU\\
     &&IT\\
           & &$\gamma_{opt}$\\
     &$P13$& CPU\\
      &&IT\\
             \hline
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
 \multirow{12}{*}{$\alpha=10^{-5}$ }& &$\gamma_{opt}$ \tabseven{-5}{-5}{-5}{-5}{-5}{5}{2}\\   
     &$P11$& CPU  \tabseven{20.1884}{20.5298}{22.0391}{22.1887}{22.2401}{22.0389}{20.8126}\\
       &&IT \tabseven{2}{3}{6}{6}{6}{6}{3}\\
      & &$\gamma_{opt}$  \\
 &$P110$& CPU\\
   &&IT\\
         & &$\gamma_{opt}$\\
     &$P12$& CPU\\
     &&IT\\
           & &$\gamma_{opt}$\\
     &$P13$& CPU\\
      &&IT\\
             \hline
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%    
\multirow{12}{*}{$\alpha=10^{-3}$ } & &$\gamma_{opt}$ \tabseven{ -5}{-5}{ 0}{-5}{ 0}{-5}{-5}\\
     &$P11$& CPU \tabseven{20.4940}{20.9396}{24.5959}{27.1284}{27.5280}{31.6370}{23.7888}\\
       &&IT  \tabseven{2}{3}{11}{16}{17}{25}{9} \\
      & &$\gamma_{opt}$ \\
 &$P110$& CPU\\
   &&IT\\
         & &$\gamma_{opt}$\\
     &$P12$& CPU\\
     &&IT\\
           & &$\gamma_{opt}$\\
     &$P13$& CPU\\
      &&IT\\
             \hline 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  
\multirow{12}{*}{$\alpha=10^{-1}$ } & &$\gamma_{opt}$ \tabseven{-1}{-2}{0}{0}{1}{2}{5}\\
     &$P11$& CPU  \tabseven{25.1075}{25.4314}{27.1975}{47.4843}{67.7178}{67.7909}{67.7795}\\
       &&IT  \tabseven{12}{13}{17}{58}{101}{51}{60}\\
      & &$\gamma_{opt}$\\
 &$P110$& CPU\\
   &&IT\\
         & &$\gamma_{opt}$\\
     &$P12$& CPU\\
     &&IT\\
           & &$\gamma_{opt}$\\
     &$P13$& CPU\\
      &&IT\\
             \hline 
\end{tabular}
\end{table}
\end{document}