On square roots and norms of matrices with symmetry properties

DOI10.1016/j.laa.2014.06.054zbMath1310.15025OpenAlexW2125959258MaRDI QIDQ401183

R. Brunnock, Matthew C. Lettington, Karl Michael Schmidt

Publication date: 26 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.06.054

zbMATH Keywords

matrix ringsmatrix normsmagic squaresmatrix square roots

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03)

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Uses Software

• mctoolbox
• mftoolbox

Cites Work

• Fleck's congruence, associated magic squares and a zeta identity
• Estimating the matrix \(p\)-norm
• Transformations by diagonal matrices in a normed space
• The Dimension of the Magic Square Vector Space
• Old Magic Powers
• Accuracy and Stability of Numerical Algorithms
• Functions of Matrices
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