On inverting circulant matrices

DOI10.1016/0024-3795(79)90007-7zbMath0397.15004OpenAlexW2076853986MaRDI QIDQ1253691

Shayle R. Searle

Publication date: 1979

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

Full work available at URL: https://hdl.handle.net/1813/32683

zbMATH Keywords

Inverting Circulant Matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (14)

The discriminance for a special class of circulant matrices and their diagonalization ⋮ Pseudo-inverses of difference matrices and their application to sparse signal approximation ⋮ Circulants, inversion of circulants, and some related matrix algebras ⋮ Correlation matrices of Gaussian Markov random fields over cycle graphs ⋮ Generalized inverses of circulant and generalized circulant matrices ⋮ Generalized dispersion matrices for covariance structural analysis ⋮ Transfer function representation of cyclic consensus systems ⋮ Unnamed Item ⋮ The group inverse of some circulant matrices ⋮ Embedding cyclic Latin squares of order \(2^ n\) in a complete set of orthogonal F-squares ⋮ The group inverse of circulant matrices depending on four parameters ⋮ The inverse of circulant matrices over \(\mathrm{GF}(2^m )\) ⋮ Drazin inverse of singular adjacency matrices of directed weighted cycles ⋮ Optimal designs for dose-escalation trials and individual allocations in cohorts

Cites Work

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• An inversion technique for certain patterned matrices
• On the Calculation of the Inverse of the Overlap Matrix in Cyclic Systems
• On the Calculation of Analytic Functions of Cyclic Matrices
• Designs with Partial Factorial Balance
• Computation of the stationary distribution of a markov chain
• Inversion of Cyclic Matrices
• Testing and Estimation for a Circular Stationary Model
• THE AUTOCORRELATION FUNCTION AND THE SPECTRAL DENSITY FUNCTION

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