The eigen-structures of real (skew) circulant matrices with some applications
DOI10.1007/s40314-019-0971-9zbMath1463.15059arXiv1806.05652OpenAlexW2979849844WikidataQ127131408 ScholiaQ127131408MaRDI QIDQ2326922
Siheng Chen, Weijin Xu, Yu Lin Zhang, Zhong-Yun Liu
Publication date: 10 October 2019
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.05652
real Schur formreal Toeplitz matricesCSCS iterationreal circulant matricesreal skew-circulant matrices
Factorization of matrices (15A23) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10) Numerical methods for discrete and fast Fourier transforms (65T50) Toeplitz, Cauchy, and related matrices (15B05)
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Cites Work
- Simple FFT and DCT algorithms with reduced number of operations.
- On HSS and AHSS iteration methods for nonsymmetric positive definite Toeplitz systems
- On the HSS iteration methods for positive definite Toeplitz linear systems
- The discrete W transform
- Fast decimation-in-time algorithms for a family of discrete sine and cosine transforms
- Representations of Toeplitz-plus-Hankel martrices using trigonometric transformations with application to fast matrix-vector multiplication
- Circulant and skew-circulant splitting methods for Toeplitz systems.
- Spectral decomposition of real circulant matrices
- The Discrete Cosine Transform
- Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
- Real-Valued, Low Rank, Circulant Approximation
- Conjugate Gradient Methods for Toeplitz Systems
- An Introduction to Iterative Toeplitz Solvers
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