On optimal backward perturbation analysis for the linear system with skew circulant coefficient matrix
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Publication:2262285
DOI10.1155/2013/707381zbMath1307.65041OpenAlexW2165802699WikidataQ42793753 ScholiaQ42793753MaRDI QIDQ2262285
Juan Li, Nuo Shen, Jian-Wei Zhou, Zhao-lin Jiang
Publication date: 16 March 2015
Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/707381
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items (9)
Skew circulant type matrices involving the sum of Fibonacci and Lucas numbers ⋮ Isomorphic operators and functional equations for the skew-circulant algebra ⋮ On skew circulant type matrices involving any continuous Fibonacci numbers ⋮ Optimal backward perturbation analysis for the block skew circulant linear systems with skew circulant blocks ⋮ Explicit inverse matrices of Tribonacci skew circulant type matrices ⋮ Exact determinants and inverses of generalized Lucas skew circulant type matrices ⋮ Analysis of the structured perturbation for the BSCCB linear system ⋮ Analysis of the structured perturbation for the BCSCB linear system ⋮ The determinants, inverses, norm, and spread of skew circulant type matrices involving any continuous Lucas numbers
Cites Work
- Accelerated circulant and skew circulant splitting methods for Hermitian positive definite Toeplitz systems
- Toeplitz preconditioners for Hermitian Toeplitz systems
- Circulant and skew-circulant preconditioners for skew-Hermitian type Toeplitz systems
- Spectral decomposition of real circulant matrices
- Circulant and Skewcirculant Matrices for Solving Toeplitz Matrix Problems
- Optimal Backward Perturbation Bounds for Underdetermined Systems
- Four-dimensional lattice rules generated by skew-circulant matrices
- Symmetric convolution of asymmetric multidimensional sequences using discrete trigonometric transforms
- On the Compatibility of a Given Solution With the Data of a Linear System
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