黄金分割法的matlab表达在latex中呈现

黄金分割法的 Matlab 代码如下：

function [a,b,c,d] = golden_section(f, a, b, tol)
    % f: the function to be minimized
    % a, b: the initial interval [a, b]
    % tol: the tolerance for stopping criterion
    % c,d: the updated interval [c, d]
    golden_ratio = (sqrt(5) - 1) / 2;
    c = b - golden_ratio * (b - a);
    d = a + golden_ratio * (b - a);
    while abs(b - a) > tol
        if f(c) < f(d)
            b = d;
            d = c;
            c = b - golden_ratio * (b - a);
        else
            a = c;
            c = d;
            d = a + golden_ratio * (b - a);
        end
    end
end

在 LaTeX 中，可以使用 `lstlisting` 环境将代码嵌入文档中，并使用 `lstset` 定义代码样式。下面是一个示例：

\documentclass{article}
\usepackage{listings}
\usepackage{xcolor}

\lstset{
    language=Matlab,
    keywordstyle=\color{blue},
    commentstyle=\color{green!50!black},
    stringstyle=\color{red},
    basicstyle=\ttfamily,
    breaklines=true,
    showstringspaces=false,
    numbers=left,
    numberstyle=\tiny\color{gray},
    frame=single,
    rulecolor=\color{black!30},
    backgroundcolor=\color{white},
    captionpos=b,
    tabsize=4,
    morekeywords={function, end},
}

\begin{document}

黄金分割法的 Matlab 代码如下：

\begin{lstlisting}
function [a,b,c,d] = golden_section(f, a, b, tol)
    % f: the function to be minimized
    % a, b: the initial interval [a, b]
    % tol: the tolerance for stopping criterion
    % c,d: the updated interval [c, d]
    golden_ratio = (sqrt(5) - 1) / 2;
    c = b - golden_ratio * (b - a);
    d = a + golden_ratio * (b - a);
    while abs(b - a) > tol
        if f(c) < f(d)
            b = d;
            d = c;
            c = b - golden_ratio * (b - a);
        else
            a = c;
            c = d;
            d = a + golden_ratio * (b - a);
        end
    end
end
\end{lstlisting}

\end{document}

编译后的结果如下所示：