[Tex/LaTex] Specific blockmatrices

Question

I would like to put some block matrices in LaTeX: in the end they should look like this; The first matrix that I need looks like this, sorry I know it does not look very clear this way (for a better view, check out the following image).
The larger dots indicate that the blocks have to be repeated.
The smaller dots indicate that the matrices can be larger in size.
I dont need to have it like this exactly in latex, just dots in the below left corner is also okay.)

 2 -1  0  0  0  0  0  0 
-1  2  0  0  0  0  0  0 
 0 -1  2 -1  0  .  .  . 
 0  0 -1  2 -1  0  0  . 
 0  0  0 -1  2 -1  0  0
 and so on...

and the second one looks like this:

1 0  0  0 0  0 0 
0 1 -1  0 0  0 0 
0 -1 1  0 0  0 0 
0 0  0  1 -1 0 0 
0 0  0  -1 1 0 0 
0 0  0  0  0 . . 
0 .  .  .  . ... 

I tried to do it like this using the easybmat package.

\[
\left(
\begin{BMAT}(rc){c:c}{c:c}
\begin{BMAT}(rc){cc}{cc}
1 & -1\\
-1 & 1
\end{BMAT} &\begin{array}{cc}
0 & . \\
0 & 0 \\
\end{array}\\
\begin{array}{cc}
0& 0 \\
. & 0 \\
\end{array} & \begin{BMAT}(rc){cc}{cc}
1 & -1\\
-1 & 1
\end{BMAT} 
\end{BMAT}
\right)
\] 

But this gives the right idea, but I don't know how to adjust this to a bigger size. And I also don't know how to put in the extra cells which I need for the second matrix.

Answer 1

Here's a possible code for the first matrix:

\documentclass{book}
\usepackage{easybmat}   

\begin{document}

\[ 
A= \delta^{-2}
\left(
\begin{BMAT}[8pt]{cc:cc:cc:c}{cc:cc:cc:c}
  1 & -1 & 0 & & & & 0 \\
  -1 & 1 & 0 & 0 & 0 & & \\
  0 & 0 & \bullet & \bullet & 0 & &\\
  & 0 & \bullet & \bullet & 0 & 0 & \\
  &  & 0 & 0 & \bullet & \bullet & 0 \\
  &  &  & 0 & \bullet & \bullet & 0 \\
  0 &  &  & 0 & 0 &0 &
\end{BMAT} 
\right)
\]

\end{document}

Using this example code you can easily build the second matrix.