Computing the square roots of a class of circulant matrices

DOI10.1155/2012/647623zbMath1264.65064OpenAlexW2075200791WikidataQ58906325 ScholiaQ58906325MaRDI QIDQ1952902

Ying Mei

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/647623

Mathematics Subject Classification ID

Related Items (5)

Norm estimates of \(\omega\)-circulant operator matrices and isomorphic operators for \(\omega\)-circulant algebra ⋮ Explicit form of determinants and inverse matrices of Tribonacci \(r\)-circulant type matrices ⋮ On computing of positive integer powers for \(r\)-circulant matrices ⋮ Some results on certain generalized circulant matrices ⋮ On monotone Markov chains and properties of monotone matrix roots

Uses Software

• mftoolbox

Cites Work

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• The computation of the square roots of circulant matrices
• On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers
• On the set covering polyhedron of circulant matrices
• Electronic Green scattering with \(n\)-fold symmetry axis from block circulant matrices
• Hadamard inverses, square roots and products of almost semidefinite matrices
• A power method for computing square roots of complex matrices
• An application of the Gröbner basis in computation for the minimal polynomials and inverses of block circulant matrices
• Generalized inverses of certain Toeplitz matrices
• A recursive algorithm for the inversion of matrices with circulant blocks
• Square roots of complex matrices
• Functions of Matrices
• Uniqueness of matrix square roots and an application
• Hamiltonian square roots of skew-Hamiltonian matrices revisited

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