Recursion formulae for the characteristic polynomial of symmetric banded matrices

DOI10.1016/j.laa.2007.11.024zbMath1153.65036OpenAlexW2017873732MaRDI QIDQ924321

Markus Tentler, Werner Kratz

Publication date: 15 May 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.11.024

zbMATH Keywords

algorithmsstabilityeigenvalue problemrecursion formulaebisection methodbanded matrixpentadiagonal matrixheptadiagonal matrix

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Additive difference equations (39A10)

Related Items (4)

Geometry of matrix decompositions seen through optimal transport and information geometry ⋮ Banded matrices and discrete Sturm-Liouville eigenvalue problems ⋮ The determinants of certain \((0,1)\) Toeplitz matrices ⋮ Skew disperson and continuity of local time

Cites Work

• Inequalities and asymptotics for Riccati matrix difference operators
• Disconjugacy and transformations for symplectic systems
• On the discrete Riccati equation and its applications to discrete Hamiltonian systems
• Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
• (Extended) Numerov method for computing eigenvalues of specific Schrodinger equations
• A finite difference approach for the calculation of perturbed oscillator energies
• POSITIVE SEMIDEFINITENESS OF DISCRETE QUADRATIC FUNCTIONALS
• Banded matrices and difference equations
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