On the powers and the inverse of a tridiagonal matrix

DOI10.1016/j.amc.2009.01.026zbMath1162.15301OpenAlexW2037074641MaRDI QIDQ1021498

Mohamed Elouafi, Ahmed Driss Aiat Hadj

Publication date: 8 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.026

zbMATH Keywords

eigenvalueseigenvectorstridiagonal matricesChristoffel-Darboux formula

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (6)

On the characteristic polynomial, eigenvalues for block tridiagonal matrices ⋮ On some interesting properties of a special type of tridiagonal matrices ⋮ Improving formulas for the eigenvalues of finite block-Toeplitz tridiagonal matrices ⋮ A fast and reliable numerical solver for general bordered \(k\)-tridiagonal matrix linear equations ⋮ A numerical solver for general bordered tridiagonal matrix equations ⋮ A note on representations for the inverses of tridiagonal matrices

Cites Work

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• On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(- 1,0,0,\dots,0\) in principal and \(1,1,1,\dots,1\) in neighbouring diagonals. I
• On the location of the eigenvalues of Jacobi matrices
• Inversion of tridiagonal matrices
• Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix
• Enumeration of simple random walks and tridiagonal matrices
• Explicit inverses of some tridiagonal matrices

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