Displacement operator based decompositions of matrices using circulants or other group matrices
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Publication:918633
DOI10.1016/0024-3795(90)90392-PzbMath0706.65041MaRDI QIDQ918633
Publication date: 1990
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
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Cites Work
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- New inversion formulas for matrices classified in terms of their distance from Toeplitz matrices
- Winograd's Fourier transform via circulants
- Generalized circulants and class functions of finite groups
- Inversion and factorization of non-Hermitian quasi-Toeplitz matrices
- Tridiagonal factorizations of Fourier matrices and applications to parallel computations of discrete Fourier transforms
- Displacement ranks of matrices and linear equations
- Resultants and group matrices
- On the generalization of retrocirculant
- Matrix identities of the fast Fourier transform
- On the group matrices for a generalized dihedral group
- Information about group matrices
- Fast time-invariant implementations for linear least-squares smoothing filters
- Interconnection Networks Based on a Generalization of Cube-Connected Cycles
- The Factorization and Representation of Operators in the Algebra Generated by Toeplitz Operators
- A Variant of the Gohberg–Semencul Formula Involving Circulant Matrices
- Fast time-invariant implementations of Gaussian signal detectors
- Adaptation of group algebras to signal and image processing
- Group Convolutions and Matrix Transforms