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Bidiagonal matrix

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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
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