documentclass{article}

usepackage{algorithm}
usepackage{algorithmicx}
usepackage{algpseudocode}
setlength{intextsep}{2pt}

begin{document}
section{A}
There is the first group of algorithm
begin{figure*}[htbp]
  begin{minipage}[t]{.49textwidth}
    begin{algorithm}[H]
      renewcommand{thealgorithm}{}
      begin{algorithmic}[1]
        caption{$A_{1}left( x_{1} right)$}
        State $y_{1} leftarrow fleft( x_{1} right)$
        Return $y_{1}$
      end{algorithmic}
    end{algorithm}
  end{minipage}
  hfill
  begin{minipage}[t]{.49textwidth}
    begin{algorithm}[H]
      renewcommand{thealgorithm}{}
      begin{algorithmic}[1]
        caption{$A_{2}left( x_{2} right)$}
        State $y_{2} leftarrow fleft( x_{2} right)$
        Return $y_{2}$
      end{algorithmic}
    end{algorithm}
  end{minipage}
end{figure*}

Blah, blah, blah...
section{B}
Blah, blah, blah...
section{C}
There is the second group of algorithm
begin{figure*}[htbp]
  begin{minipage}[t]{.49textwidth}
    begin{algorithm}[H]
      renewcommand{thealgorithm}{}
      begin{algorithmic}[1]
        caption{$C_{1}left( x_{1} right)$}
        State $y_{1} leftarrow fleft( x_{1} right)$
        Return $y_{1}$
      end{algorithmic}
    end{algorithm}
  end{minipage}
  hfill
  begin{minipage}[t]{.49textwidth}
    begin{algorithm}[H]
      renewcommand{thealgorithm}{}
      begin{algorithmic}[1]
        caption{$C_{2}left( x_{2} right)$}
        State $y_{2} leftarrow fleft( x_{2} right)$
        Return $y_{2}$
      end{algorithmic}
    end{algorithm}
  end{minipage}
end{figure*}
end{document}