New Class of M-matrices or a Generalization of the Magic Square
DOI:
https://doi.org/10.58649/jd04bw27Keywords:
first-order difference equation, geometric progression, algorithm for constructing new classes of M-matrices, square factor constant, construction of examplesAbstract
A new class of magic squares (M-matrices) is introduced, in which the primary construction tool is a geometric progression. Owing to the properties of solutions of a first-order difference equation, it becomes possible to construct a certain space of such matrices. Mathematical algorithms for constructing new classes of magic squares are presented, and some of their properties are investigated.
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