An analytical approach: explicit inverses of periodic tridiagonal matrices

DOI10.1016/j.cam.2017.11.038zbMath1441.15002OpenAlexW2773615044MaRDI QIDQ1743931

Emrah Kılıç, T. R. Hopkins

Publication date: 16 April 2018

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

Full work available at URL: https://kar.kent.ac.uk/66997/1/Periodic_Tridiagonal.pdf

zbMATH Keywords

inversematrix inversion\(LU\)-factorizationbackward continued fraction

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Inverse problems in linear algebra (15A29)

Related Items (8)

Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns ⋮ The inverses and eigenpairs of tridiagonal Toeplitz matrices with perturbed rows ⋮ Determinants and inverses of perturbed periodic tridiagonal Toeplitz matrices ⋮ Properties of a class of perturbed Toeplitz periodic tridiagonal matrices ⋮ Some classes of tetradiagonal determinants via certain polynomial families ⋮ INVERSES AND EIGENPAIRS OF TRIDIAGONAL TOEPLITZ MATRIX WITH OPPOSITE-BORDERED ROWS ⋮ Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows ⋮ ON INVERSES AND EIGENPAIRS OF PERIODIC TRIDIAGONAL TOEPLITZ MATRICES WITH PERTURBED CORNERS

Uses Software

• Maple
• Mathematica
• NAPACK

Cites Work

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