Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns
DOI10.1515/spma-2020-0012zbMath1457.15029OpenAlexW3023476315MaRDI QIDQ828085
Seongtae Jhang, Xiaoyu Jiang, Yaru Fu, Zhao-lin Jiang
Publication date: 14 January 2021
Published in: Special Matrices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/spma-2020-0012
determinantinverseFibonacci numberLucas numberHankel tridiagonal matrices with perturbed columnsperturbed columnsToeplitz tridiagonal matrices
Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Matrices, determinants in number theory (11C20) Toeplitz, Cauchy, and related matrices (15B05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inversion of \(k\)-tridiagonal matrices with Toeplitz structure
- A symbolic algorithm for periodic tridiagonal systems of equations
- Exact determinants and inverses of generalized Lucas skew circulant type matrices
- Some comments on \(k\)-tridiagonal matrices: determinant, spectra, and inversion
- Analytical inversion of general periodic tridiagonal matrices
- New algorithms for solving periodic tridiagonal and periodic pentadiagonal linear systems
- Eigenvalues and eigenvectors of some tridiagonal matrices
- Inversion of a tridiagonal Jacobi matrix
- Determinants and inverses of Ppoeplitz and Ppankel matrices
- An efficient numerical algorithm for the determinant of a cyclic pentadiagonal Toeplitz matrix
- Numerical algorithms for the determinant evaluation of general Hessenberg matrices
- An analytical approach: explicit inverses of periodic tridiagonal matrices
- A new computational algorithm for solving periodic tri-diagonal linear systems
- Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix
- On the inverse and determinant of general bordered tridiagonal matrices
- Symbolic algorithms for the inverses of general \(k\)-tridiagonal matrices
- On determinants of cyclic pentadiagonal matrices with Toeplitz structure
- Eigenpairs of a family of tridiagonal matrices: three decades later
- New algorithms for numerically solving a class of bordered tridiagonal systems of linear equations
- A breakdown-free algorithm for computing the determinants of periodic tridiagonal matrices
- On a structure-preserving matrix factorization for the determinants of cyclic pentadiagonal Toeplitz matrices
- Evaluating Matrix Functions by Resummations on Graphs: The Method of Path-Sums
- Diffusion of heat in multidimensional composite spherical body
- THE LU FACTORIZATIONS AND DETERMINANTS OF THE K-TRIDIAGONAL MATRICES
- A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
- A Parallel Elimination Method for "Periodic" Tridiagonal Systems
- Skew cyclic displacements and decompositions of inverse matrix for an innovative structure matrix
This page was built for publication: Analytic determinants and inverses of Toeplitz and Hankel tridiagonal matrices with perturbed columns
