This type of square can look back on a long history, as many of the oldest known squares have been created as bordered squares.
|Benson - Jacoby||Vaithianathan|
|Ibn Yunis||Unknown author (1)|
|Seki||Unknown author (2)|
|Stifel||Unknown author (3)|
All algorithms are described in detail in chapter Bordered Magic Squares (german: Gerahmte magische Quadrate) together with some other PDF documents.