I am working with two matrices (because I have more matrices with indices (`1,2,3,...`

) I write them below in specific format i. e. `m1[1]`

and `m2[1]`

)

```
m1[1]={{-1, 1, 0, -1, -1}, {-1, -1, 1, -1, -1}, {-1, 1, -1, -1, 0}, {0, 1, -1, -1, -1}, {-1, 1, -1, -1, 1}};
m2[1]={{2, 0, 1, 1, 0}, {2, 2, 2, 0, 1}, {2, 2, 2, 1, 0}, {1, 1, 2, 0, 2}, {1, 1, 1, 0, 0}};
```

with the below code I can gain eigenvectors in any iterations

```
Do[n=1; list[n,Round[10*i+1]]=Eigenvectors[m2[1]+i*m1[1]],{i,0,1,0.1}];
```

For example for: `n=1`

, `10*i+1=1`

we have

```
list[1,1]={{-0.286453 + 0. I, -0.553253 + 0. I, -0.587952 + 0. I, -0.449042 +
0. I, -0.254027 + 0. I}, {-0.634291 + 0. I, 0.226217 + 0.328308 I,
0.365464 - 0.211538 I, 0.463629 - 0.163831 I,
0.0476698 + 0.127813 I}, {-0.634291 + 0. I, 0.226217 - 0.328308 I,
0.365464 + 0.211538 I, 0.463629 + 0.163831 I,
0.0476698 - 0.127813 I}, {-0.0911882 + 0.0499775 I,
0.387005 + 0.0525471 I, -0.486037 - 0.163308 I, 0.69333 + 0. I,
0.163778 + 0.257335 I}, {-0.0911882 - 0.0499775 I,
0.387005 - 0.0525471 I, -0.486037 + 0.163308 I, 0.69333 + 0. I,
0.163778 - 0.257335 I}}
```

by this indices we have

```
list[1,1][[1]]={-0.286453 + 0. I, -0.553253 + 0. I, -0.587952 + 0. I,
-0.449042 + 0. I, -0.254027 + 0. I};
list[1,1][[2]]={-0.634291 + 0. I, 0.226217 + 0.328308 I,
0.365464 - 0.211538 I, 0.463629 - 0.163831 I,
0.0476698 + 0.127813 I};
```

and so on.

**DESIRED CASE:** I eagerly wish to save all eigenvectors in the individual text files by the special names. These names should be written with the format:

`n-1-i-1-eig-1`

and `n-1-i-1-eig-2`

……`n-1-i-1-eig-5`

according to the eigenvectors`list[1,1][[1]]......list[1,1][[5]]`

. Furthermore, for `2i+1=2`

, I wish to have text files with the names : `n-1-i-2-eig-1`

and `n-1-i-2-eig-2`

……`n-1-i-2-eig-5`

. And one of them will be a column of the numbers.

I have seen many posts such as this, this, this, this and other related to exportation. But they have not helped me to choose a specific name for the exported files.

However based on the @Erich Mueller in this question this link, I can use just a list without any indices but I am comfortable to exploit of those.