On k-circulant matrices with arithmetic sequence

DOI10.2298/FIL1708517RzbMath1488.15056OpenAlexW2524247498MaRDI QIDQ5156310

Biljana Radičić

Publication date: 15 October 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1708517r

zbMATH Keywords

eigenvaluesdeterminantinverseMoore-Penrose inverseEuclidean normarithmetic sequence\(k\)-circulant matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Arithmetic progressions (11B25) Toeplitz, Cauchy, and related matrices (15B05)

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Cites Work

• Hessenberg matrices and the Pell and Perrin numbers
• On the determinants and inverses of circulant matrices with Fibonacci and Lucas numbers
• Generalized inverses of certain Toeplitz matrices
• Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal-Lucas numbers
• Determinants and inverses ofr-circulant matrices associated with a number sequence
• The Moore-Penrose Pseudoinverse of an Arbitrary, Square, k -circulant Matrix
• Onk-circulant matrices (with geometric sequence)
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