# Multiline brackets around inner Minimization Problem for Maximin Optimization Problem

I want to reproduce the following:

The inner min-Problem I make with a \begin{aligned} inner min-Problem \end{aligned}

But I can't find a way to make brackets around it nor to write the max left to those brackets.

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I propose to do it with a simple pmatrix* environment:

\documentclass{article}
\usepackage{mathtools}
\usepackage{booktabs}
\DeclareMathOperator{\conv}{conv}

\begin{document}
$\max_{\lambda\ge0}\begin{pmatrix*}[l]\displaystyle \min_{c,x} \sum_t\sum_i c_{it} - \sum_t \lambda_t\Bigl(\sum_i A_{it}x_{it} - b_t\Bigr)\\\addlinespace%[2.5ex] \: \mathrm{s.t.}\enspace (c_i,x_i) \in \conv\bigl( V_{j\in J_i} X_i^j\bigr) \end{pmatrix*}$

\end{document}


• Now, the only thing that is missing, is the enumeration of the equation. Is there a way to do that? May 15 at 11:16
• @R.Deilke: the [ ... \] construct is for unnumbered equations. For a (single) numered equation}, just replace it with $$...$$. May 15 at 13:27

Welcome to TeX:SE!

Try the following:

\documentclass{article}
\usepackage{amsmath}
\DeclareMathOperator{\conv}{conv}

\begin{document}
\max_{\lambda\ge0}\left( \begin{aligned} \min_{c,x} &\quad && \sum_t\sum_i c_{it} - \sum_t \lambda_t\biggl(\sum_i A_{it}x_{it} - b_t\biggr)\1ex] \mathrm{s.t.} & && (c_i,x_i) \in \conv\Bigl( V_{j\in J_i} X_i^j\Bigr) \end{aligned}\right) \end{document}  • Now, the only thing that is missing, is the enumeration of the equation. Is there a way to do that? May 15 at 11:16 • @R.Deilke, this is simple. Replace \[ and  with and respectively. See edited answer. May 15 at 13:15