Inversion of the generalized Fibonacci matrix by convolution

DOI10.1080/00207160.2010.521546zbMath1220.15009OpenAlexW2050303593MaRDI QIDQ3008359

Marko B. Miladinović, Predrag S. Stanimirović

Publication date: 15 June 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2010.521546

zbMATH Keywords

combinatorial identitiesLucas numbersMoore-Penrose inversematrix inversiongeneralized Fibonacci numbersconvolution formulageneralized Fibonacci matrixlower triangular Toeplitz matrix

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) 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

Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal-Lucas numbers

Uses Software

• Mathematica

Cites Work

• Report on test matrices for generalized inverses
• On Moore-Penrose inverses of Toeplitz matrices
• Generalized inversion of finite rank Hankel and Toeplitz operators with rational matrix symbols
• Generalized invertibility of Hankel and Toeplitz matrices
• Some combinatorial identities via Fibonacci numbers
• Generalized inverses of Hankel and Toeplitz mosaic matrices
• Generalized inverses. Theory and applications.
• On Drazin inverse of singular Toeplitz matrix
• A note on computing the inverse and the determinant of a pentadiagonal Toeplitz matrix
• On the Bezoutian Structure of the Moore–Penrose Inverses of Hankel Matrices
• Toeplitz and Circulant Matrices: A Review
• Moore–Penrose Inversion of Square Toeplitz Matrices
• The Fibonacci Numbers: Exposed
• Conjugate Gradient Methods for Toeplitz Systems
• Displacement Structure: Theory and Applications
• A Generalized Fibonacci Sequence

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