On the powers and the inverse of a tridiagonal matrix
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Publication:1021498
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
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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