Displaying 121 – 140 of 425

Showing per page

On melancholic magic squares

Götz Trenkler, Dietrich Trenkler (2013)

Discussiones Mathematicae Probability and Statistics

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...

On Nilpotent Subsemigroups in some Matrix Semigroups

Ganyushkin, Olexandr, Mazorchuk, Volodymyr (2007)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 20M20, 20M10.We describe maximal nilpotent subsemigroups of a given nilpotency class in the semigroup Ωn of all n × n real matrices with non-negative coefficients and the semigroup Dn of all doubly stochastic real matrices.

Currently displaying 121 – 140 of 425