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On melancholic magic squares

100%

Trenkler G., Trenkler D.

Discussiones Mathematicae Probability and Statistics

2013

tom 33

nr 1-2

111-119

Starting with Dürer's magic square which appears in the well-known copper plate engraving Melencolia we consider the class of melancholic magic squares. Each member of this class exhibits the same 86 patterns of Dürer's magic square and is magic again. Special attention is paid to the eigenstructure of melancholic magic squares, their group inverse and their Moore-Penrose inverse. It is seen how the patterns of the original Dürer square to a large extent are passed down also to the inverses of the melancholic magic squares.

Note on the core matrix partial ordering

72%

Mielniczuk J.

Discussiones Mathematicae Probability and Statistics

2011

tom 31

nr 1-2

71-75

Complementing the work of Baksalary and Trenkler [2], we announce some results characterizing the core matrix partial ordering.

Ograniczanie wyników

2 Discussiones Mathematicae Probability and Statistics

1 Mielniczuk J.

1 Trenkler D.

1 Trenkler G.

1 2013

1 2011

Wyniki wyszukiwania

On melancholic magic squares

Note on the core matrix partial ordering