[Tex/LaTex] bordermatrix with blocks

arraysbordermatrixmatricestables

I need to write a complicated matrix, that has a structure as in the attached picture.
matrix example

Best Answer

The blkarray package allows to do complex border matrix with relatively simple code:

enter image description here

\documentclass{article}

\usepackage{blkarray}
\usepackage{multirow}

\begin{document}

\[
  \begin{blockarray}{cc|cccc|cccc}
    & 1\dots 18 & 19 & 20 & 21 & 22 & 23 & 24 & 25 & 26 \\
    \begin{block}{c(c|cccc|cccc@{\hspace*{5pt}})}
    A'_1 & A_1 & \BAmulticolumn{4}{c|}{\multirow{4}{*}{$I$}}&\BAmulticolumn{4}{c}{\multirow{4}{*}{$I$}}\\
    A'_2 & A_2 & &&&&&&&\\
    A'_3 & A_3 & &&&&&&&\\
    A'_4 & A_4 & &&&&&&&\\
    \cline{1-10}% don't use \hline
    B'_1 & B_1 & \BAmulticolumn{4}{c|}{\multirow{4}{*}{$J$}}&\BAmulticolumn{4}{c}{\multirow{4}{*}{$I$}}\\
    B'_2 & B_2 & &&&&&&&\\
    B'_3 & B_3 & &&&&&&&\\
    B'_4 & B_4 & &&&&&&&\\
    \end{block}
  \end{blockarray}
\]

\end{document}

Related Solutions

[Tex/LaTex] TikZ-equivalent of bordermatrix with automatic alignment of labels

The result can be achieved by using the OP's code and the linked answers e.g. using:

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{matrix}
\begin{document}
\begin{tikzpicture}[baseline = (M.center),% center with respect to the matrix center
        every left delimiter/.style={xshift=1ex},%tighter delimiter spacing
        every right delimiter/.style={xshift=-1ex}]
\matrix (M) [matrix of nodes,left delimiter={(},right delimiter={)},nodes in empty cells 
        ]{ 
                              |[draw,circle,inner sep=3mm,fill]| &  \\
                                & |[draw,circle,inner sep=6mm,fill]|\\
};
\node[anchor=south east, left=6pt] (M-0-0) at (M-1-1.north west) {};
% iterate over each row and their corresponding labels
\foreach[count=\i] \v in {\(A\),\(B\)}{
  % label of this row, based on size of diagonal element
  \node (M-\i-0) at (M-0-0 |- M-\i-\i) {};
  % put the text (specified in the loop) at the label
  \path (M-\i-0.north) -- (M-\i-0.south) node [midway, left] { \v };
}
\end{tikzpicture}
\end{document}

gives

enter image description here

[Tex/LaTex] Block matrix equation with dimensioning

A possibility using TikZ and matrix of math nodes (from the matrix library) to build the natrices; the braces for the dimensions were built using a brace decoration from the decorations.pathreplacing library:

\documentclass{article}
\usepackage{tikz}
\usepackage{geometry}
\usetikzlibrary{matrix,positioning,decorations.pathreplacing}

\begin{document}

\begin{tikzpicture}[
style1/.style={
  matrix of math nodes,
  every node/.append style={text width=#1,align=center,minimum height=5ex},
  nodes in empty cells,
  left delimiter=[,
  right delimiter=],
  },
style2/.style={
  matrix of math nodes,
  every node/.append style={text width=#1,align=center,minimum height=5ex},
  nodes in empty cells,
  left delimiter=\lbrace,
  right delimiter=\rbrace,
  }
]
\matrix[style1=0.65cm] (1mat)
{
  & & & & & \\
  & & & & & \\
  & & & & & \\
  & & & & & \\
  & & & & & \\
  & & & & & \\
  & & & & & \\
  & & & & & \\
};
\draw[dashed]
  (1mat-3-5.south west) -- (1mat-3-6.south east);
\draw[loosely dashed]
  (1mat-5-1.south west) -- (1mat-5-6.south east);
\draw[dash dot]
  (1mat-1-4.north east) -- (1mat-8-4.south east);
\draw[]
  (1mat-5-2.south east) -- (1mat-8-2.south east);
\node[font=\huge] 
  at ([xshift=-10pt]1mat-3-3) {$A_{1}$};
\node[font=\Large] 
  at (1mat-2-5.east) {$0$};
\node[font=\Large] 
  at (1mat-5-5.north east) {$A_{2}$};
\node[font=\Large] 
  at (1mat-7-5.east) {$B_{2}$};
\node[font=\Large] 
  at (1mat-7-1.east) {$0$};
\node[font=\Large] 
  at (1mat-7-3.east) {$B_{1}$};
\draw[decoration={brace,mirror,raise=12pt},decorate]
  (1mat-1-1.north west) -- 
  node[left=15pt] {$n_{1}$} 
  (1mat-5-1.south west);
\draw[decoration={brace,mirror,raise=12pt},decorate]
  (1mat-6-1.north west) -- 
  node[left=15pt] {$n_{2}$} 
  (1mat-8-1.south west);
\draw[decoration={brace,mirror,raise=5pt},decorate]
  (1mat-8-3.south west) -- 
  node[below=7pt] {$n_{2}$} 
  (1mat-8-4.south east);
\draw[decoration={brace,mirror,raise=5pt},decorate]
  (1mat-8-5.south west) -- 
  node[below=7pt] {$n_{2}$} 
  (1mat-8-6.south east);
\draw[decoration={brace,raise=12pt},decorate]
  (1mat-4-6.north east) -- 
  node[right=15pt] {$n_{2}$} 
  (1mat-5-6.south east);
\draw[decoration={brace,raise=7pt},decorate]
  (1mat-1-1.north west) -- 
  node[above=8pt] {$n_{1}$} 
  (1mat-1-4.north east);

\matrix[style2=1.2cm,right=40pt of 1mat] (2mat)
{
  Q_{1} \\
  \vdots \\
  Q_{n_{1} - n_{2}} \\
  \vdots \\
  Q_{n_{1}} \\
  R_{1} \\
  \vdots \\
  R_{n_{2}} \\
};
\draw[dashed]
  (2mat-3-1.south west) -- (2mat-3-1.south east);
\draw[loosely dashed]
  (2mat-5-1.south west) -- (2mat-5-1.south east);

\node at ([xshift=17pt,yshift=-1.2pt]2mat.east) {$=$};

\matrix[style2=0.7cm,right=35pt of 2mat] (3mat)
{
  0 \\
  \vdots \\
  \\
  \vdots \\
  0 \\
  b_{1} \\
  \vdots \\
  b_{n_{2}} \\
};
\draw[loosely dashed]
  (3mat-5-1.south west) -- (3mat-5-1.south east);
\end{tikzpicture}

\end{document}

enter image description here

Perhaps you should consider whether there's another way to display the information? Removing the braces with the dimensions and using a single dashed style improves the result:

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{matrix,positioning,decorations.pathreplacing}

\begin{document}

\[
\begin{tikzpicture}[
style1/.style={
  matrix of math nodes,
  every node/.append style={text width=#1,align=center,minimum height=5ex},
  nodes in empty cells,
  left delimiter=[,
  right delimiter=],
  },
style2/.style={
  matrix of math nodes,
  every node/.append style={text width=#1,align=center,minimum height=5ex},
  nodes in empty cells,
  left delimiter=\lbrace,
  right delimiter=\rbrace,
  }
]
\matrix[style1=0.85cm] (1mat)
{
  & & & & &  \\
  & & & & & \\
  & & & & & \\
  & & & & & \\
  & & & & & \\
  & & & & & \\
  & & & & & \\
  & & & & & \\
  & & & & & \\
};
\draw[dashed]
  (1mat-3-5.south west) -- (1mat-3-6.south east);
\draw[dashed]
  (1mat-6-1.south west) -- (1mat-6-6.south east);
\draw[dashed]
  (1mat-1-4.north east) -- (1mat-9-4.south east);
\draw[dashed]
  (1mat-6-2.south east) -- (1mat-9-2.south east);
\node[font=\huge] 
  at (1mat-3-2.south east) {$A_{1}$};
\node[font=\Large] 
  at (1mat-2-5.east) {$0$};
\node[font=\Large] 
  at (1mat-5-5.east) {$A_{2}$};
\node[font=\Large] 
  at (1mat-8-5.east) {$B_{2}$};
\node[font=\Large] 
  at (1mat-8-1.east) {$0$};
\node[font=\Large] 
  at (1mat-8-3.east) {$B_{1}$};

\matrix[style2=1.2cm,right=40pt of 1mat] (2mat)
{
  Q_{1} \\
  \vdots \\
  Q_{n_{1} - n_{2}} \\
  Q_{n_{1} - n_{2}+1} \\
  \vdots \\
  Q_{n_{1}} \\
  R_{1} \\
  \vdots \\
  R_{n_{2}} \\
};
\draw[dashed]
  (2mat-3-1.south west) -- (2mat-3-1.south east);
\draw[dashed]
  (2mat-6-1.south west) -- (2mat-6-1.south east);

\node at ([xshift=17pt,yshift=-1.2pt]2mat.east) {$=$};

\matrix[style2=0.7cm,right=35pt of 2mat] (3mat)
{
  0 \\
  \vdots \\
  \\
  \\
  \vdots \\
  0 \\
  b_{1} \\
  \vdots \\
  b_{n_{2}} \\
};
\draw[dashed]
  (3mat-6-1.south west) -- (3mat-6-1.south east);
\end{tikzpicture}
\]

\end{document}

enter image description here

Best Answer

Related Solutions

[Tex/LaTex] TikZ-equivalent of bordermatrix with automatic alignment of labels

[Tex/LaTex] Block matrix equation with dimensioning

Related Question