Jump to content

Bidiagonal matrix: Difference between revisions

From Wikipedia, the free encyclopedia
Content deleted Content added
No edit summary
SmackBot (talk | contribs)
m Add references section and/or general fixes.
Line 11: Line 11:
==Useful identities==
==Useful identities==
==References==
==References==
{{Reflist}}

[[Category:Matrices]]
[[Category:Matrices]]
[[Category:Linear algebra]]
[[Category:Linear algebra]]

Revision as of 16:37, 30 August 2008

A bidiagonal matrix is a symmetric tridiagonal matrix, a special type of matrix representation from the LAPACK Fortran package.

In physics, a special type of bidiagonal matrix shows up within the path-integral treatment of the Hamiltonian of a non-interacting system[1].

A symmetric tridiagonal or bidiagonal matrix is stored in two one-dimensional arrays, one of length n containing the diagonal elements, and one of length n-1 containing the off-diagonal elements. (EISPACK routines store the off-diagonal elements in elements 2:n of a vector of length n.)

Useful identities

References

  1. ^ Negele & Orland, Quantum Many particle systems