Invertibility and explicit inverses of circulant-type matrices with \(k\)-Fibonacci and \(k\)-Lucas numbers
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Publication:1722405
DOI10.1155/2014/238953zbMath1473.15033OpenAlexW1963836892WikidataQ59036619 ScholiaQ59036619MaRDI QIDQ1722405
Yanpeng Gong, Yun Gao, Zhao-lin Jiang
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/238953
Theory of matrix inversion and generalized inverses (15A09) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Toeplitz, Cauchy, and related matrices (15B05)
Related Items (18)
Explicit form of the inverse matrices of tribonacci circulant type matrices ⋮ Exact inverse matrices of Fermat and Mersenne circulant matrix ⋮ Skew circulant type matrices involving the sum of Fibonacci and Lucas numbers ⋮ Explicit form of determinants and inverse matrices of Tribonacci \(r\)-circulant type matrices ⋮ Determinants and inverses of Ppoeplitz and Ppankel matrices ⋮ DETERMINANTS, NORMS AND SPREADS OF SKEW CIRCULANT MATRICES INVOLVING THE SUM OF PELL AND PELL-LUCAS NUMBERS ⋮ Unnamed Item ⋮ Gaussian Fibonacci circulant type matrices ⋮ Explicit determinants of the RFP\(r\)L\(r\)R circulant and RLP\(r\)F\(r\)L circulant matrices involving some famous numbers ⋮ Determinant and inverse of a Gaussian Fibonacci skew-Hermitian Toeplitz matrix ⋮ Explicit inverse matrices of Tribonacci skew circulant type matrices ⋮ Exact determinants and inverses of generalized Lucas skew circulant type matrices ⋮ VanderLaan circulant type matrices ⋮ Drazin inverse of singular adjacency matrices of directed weighted cycles ⋮ 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 ⋮ On the determinants and inverses of R-circulant matrices with the biperiodic Fibonacci and Lucas numbers
Cites Work
- Unnamed Item
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- Generating Solutions to the N-Queens Problem Using 2-Circulants
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