Determinants of Block Tridiagonal Matrices

@inproceedings{Molinari2008DeterminantsOB,
  title={Determinants of Block Tridiagonal Matrices},
  author={Luca Molinari},
  year={2008}
}
A tridiagonal matrix with entries given by square matrices is a block tridiagonal matrix; the matrix is banded if off-diagonal blocks are upper or lower triangular. Such matrices are of great importance in numerical analysis and physics, and to obtain general properties is of great utility. The blocks of the inverse matrix of a block tridiagonal matrix can be factored in terms of two sets of matrices[10], and decay rates of their matrix elements have been investigated[14]. While the spectral… CONTINUE READING

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References

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Showing 1-10 of 18 references

Comments on "A note on a three-term recurrence for a tridiagonal matrix"

Applied Mathematics and Computation • 2006
View 6 Excerpts
Highly Influenced

On a two-term recurrence for the determinant of a general matrix

Applied Mathematics and Computation • 2007
View 2 Excerpts

A note on a three-term recurrence for a tridiagonal matrix

Applied Mathematics and Computation • 2003
View 2 Excerpts

Eigenstates and transmission coefficients of finite-sized nanotubes

S. Compernolle, L. Chibotaru, A. Coulemans
J. Chem. Phys. 119 • 2003
View 1 Excerpt

Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices

SIAM J. Matrix Analysis Applications • 1999
View 1 Excerpt

Reflection by defects in a tightbinding model of nanotubes

T. Kostyrko, M. Bartkowiak, G. D. Mahan
Phys. Rev. B 59 • 1999
View 1 Excerpt

Goldsheid and B

I. Ya
Khoruzhenko, Distribution of eigenvalues in non- Hermitian Anderson models, Phys. Rev. Lett. 80 • 1998
View 1 Excerpt

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