Circulants, inversion of circulants, and some related matrix algebras

DOI10.1016/0024-3795(84)90111-3zbMath0527.15007OpenAlexW1973402074MaRDI QIDQ595730

Philip Feinsilver

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90111-3

zbMATH Keywords

spectral theorysymmetric functionsinversioncirculantscommutative ringsone-generator matrix algebras

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30)

Related Items (2)

Generalized dispersion matrices for covariance structural analysis ⋮ Inversion of circulant matrices over $\mathbf{Z}_m$

Cites Work

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• Winograd's Fourier transform via circulants
• Manifestations of Polya's counting theorem
• Resultants and group matrices
• Generalized inverses of circulant and generalized circulant matrices
• On inverting circulant matrices
• Roots and Canonical Forms for Circulant Matrices
• Tschebyscheffpolynome in mehreren Variablen.
• Inversion of Cyclic Matrices
• The Pseudoinverse of a Composite Matrix of Circulants
• Computation of Pseudoinverse Matrices Using Residue Arithmetic
• Explicit Inverses and Condition Numbers of Certain Circulants
• On the inversion of circulant matrices
• Note on Approximation by Bounded Analytic Functions
• REDUCED DETERMINANTAL FORMS FOR S-FUNCTIONS

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