How to write algorithm without numbering in latex

Question

I am looking for the way to write a algorithm as: (without numbering). Please help me to write it in latex. Thanks in advance

Algorithm:
Input: A, B,C.
Initialize \alpha, \beta,u
Employ the A
While |u^(k+1)-u^k |≥ \epsilon
    Compute \alpha as \hat {\alpha} by Eq. \eqref{eq:1}.
    Compute \beta as \hat {\beta} by Eq. \eqref{eq:2}.
    Compute u as \hat u by Eq. \eqref{eq:3}.
End
Output: \alpha, \beta.

Answer 1

Here is a sample code for your algorithm using the package algorithm2e as suggested by your tags:

\documentclass[12pt]{article}
\usepackage[plainruled]{algorithm2e}
\usepackage{amsmath}

\begin{document}
    \begin{algorithm}[ht!]
    \KwIn{%
         $A, B \text{ and } C$
         }%

         {\bf Initialization:} $\alpha, \beta \text{ and } u$ ;

    \While{$|u^{k+1}-u^k | \geq \epsilon$}{%

        compute $\alpha$ as $\hat{\alpha}$ with Eq. \eqref{eq:1};

        compute $\beta$ as $\hat{\beta}$ with Eq. \eqref{eq:2};

        compute $u$ as $\hat{u}$ with Eq. \eqref{eq:3}.
        }

     \KwOut{%
        $\alpha \text{ and } \beta$
        }%

     \caption{Some algorithm}%
     \label{algo:solution}%
     \end{algorithm}
\end{document}

And here is what the output looks like:

There are many different options within algorithm2e to configure the layout of the algorithm. You can for instance replace the option plainruled by plain in order to remove the horizontal lines. More information is available in the package documentation here. See section 7.3.

As for the numbering of the algorithm, if you completely remove the number, you will not be able to label it and reference it in the text. Have a look at section 9.2 and the command \SetAlgoRefName in order to customize the referencing.