Parallelization-scheme-of-static-codes.md

@@ -42,7 +42,7 @@ k_z = 0, \pm 1 \frac{2\pi}{L_z}, \pm 2 \frac{2\pi}{L_z}, \ldots , +(N_z-1) \frac
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 and $`L_z = NZ*DZ`$ is the box length along z-direction. From physical point of view, it means that we impose translation symmetry along z-direction. Under this assumption BdG matrix acquires block-diagonal form:
 ![HBdG-2d](uploads/9659540e2c865b7a6736e55cec10aa50/HBdG-2d.png)  
-and diagonalization of the matrix is equivalent to diagonalizations of submatrices $`H(k_{z,i})`$, each of them of size `matrix_size=2*NX*NY`. Moreover, the translation symmetry imposes that $`H(k_{z})=H(-k_{z})`$ and in practice it is sufficient to diagonalize only submatrices for positive $`k_z`$, which takes $NZ/2$ values. Submantcies can be diagonalized simultaneously.  
+and diagonalization of the matrix is equivalent to diagonalizations of submatrices $`H(k_{z,i})`$, each of them of size `matrix_size=2*NX*NY`. Moreover, the translation symmetry imposes that $`H(k_{z})=H(-k_{z})`$ and in practice it is sufficient to diagonalize only submatrices for positive $`k_z`$, which takes `NZ/2` values. Submatrices can be diagonalized simultaneously.  
 
 To demonstrate parallelization scheme in 2D case, let us consider following lattice:
 ```c