Exact determinants and inverses of generalized Lucas skew circulant type matrices

DOI10.1016/j.amc.2015.08.021zbMath1410.15054OpenAlexW1148351684MaRDI QIDQ670767

Sugoog Shon, Yan-peng Zheng

Publication date: 20 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.021

zbMATH Keywords

determinantinversegeneralized Lucas numbersskew circulant matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (14)

Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns ⋮ Explicit form of determinants and inverse matrices of Tribonacci \(r\)-circulant type matrices ⋮ Determinants and inverses of Ppoeplitz and Ppankel matrices ⋮ INVERTIBILITY AND EXPLICIT INVERSES OF SKEW CIRCULANT MATRICES INVOLVING THE SUM OF PELL AND PELL-LUCAS NUMBERS ⋮ DETERMINANTS, NORMS AND SPREADS OF SKEW CIRCULANT MATRICES INVOLVING THE SUM OF PELL AND PELL-LUCAS NUMBERS ⋮ Determinant and inverse of a Gaussian Fibonacci skew-Hermitian Toeplitz matrix ⋮ A new Toeplitz inversion formula, stability analysis and the value ⋮ Skew cyclic displacements and decompositions of inverse matrix for an innovative structure matrix ⋮ Analysis of the structured perturbation for the BSCCB linear system ⋮ More extensions of a determinant inequality of Hartfiel ⋮ Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows ⋮ Unnamed Item ⋮ Determinants and inverses of weighted Loeplitz and weighted Foeplitz matrices and their applications in data encryption ⋮ Exact determinants and inverses of (2,3,3)-Loeplitz and (2,3,3)-Foeplitz matrices

Cites Work

• Unnamed Item
• The spectral norms of \(g\)-circulant matrices with classical Fibonacci and Lucas numbers entries
• Explicit form of the inverse matrices of tribonacci circulant type matrices
• On the determinants and inverses of circulant matrices with Fibonacci and Lucas numbers
• Explicit inverse matrices of Tribonacci skew circulant type matrices
• An explicit form of the inverse of a particular circulant matrix
• A note on spectral norms of even-order \( r\)-circulant matrices
• Invertibility and explicit inverses of circulant-type matrices with \(k\)-Fibonacci and \(k\)-Lucas numbers
• Exact determinants of some special circulant matrices involving four kinds of famous numbers
• Circulant type matrices with the sum and product of Fibonacci and Lucas numbers
• Determinants, norms, and the spread of circulant matrices with Tribonacci and generalized Lucas numbers
• Isomorphic operators and functional equations for the skew-circulant algebra
• On optimal backward perturbation analysis for the linear system with skew circulant coefficient matrix
• Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal-Lucas numbers

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