On properties of special magic square matrices

DOI10.1016/j.laa.2012.05.031zbMath1247.05038OpenAlexW2005290533MaRDI QIDQ448343

Ronald P. Nordgren

Publication date: 6 September 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.05.031

zbMATH Keywords

eigenvaluesmatrix algebramagic squaresmatrix powersQR magic squaresquasi regular magic squares

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Orthogonal arrays, Latin squares, Room squares (05B15) Algebraic systems of matrices (15A30)

Related Items (6)

Behavior of powers of odd ordered special circulant magic squares ⋮ On an open problem concerning regular magic squares of odd order ⋮ Compound Lucas magic square matrices ⋮ How Franklin (May Have) Made His Squares ⋮ Vector spaces of new special magic squares: reflective magic squares, corner magic squares, and skew-regular magic squares ⋮ Spectra of order-4 special magic squares

Cites Work

• Magic square spectra
• Group inverses of \(M\)-matrices associated with nonnegative matrices having few eigenvalues
• The algebraic theory of diabolic magic squares
• Even Order Regular Magic Squares Are Singular
• Basic Properties of Pandiagonal Magic Squares
• Old Magic Powers
• Benjamin Franklin's Numbers
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