octave-symband

Symmetric banded matrices for octave
  http://octave.sourceforge.net/symband
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This package deals with linear algebra for symmetric banded matrices in octave, a scientific computation software. it contains functions for solving a system of linear equations, find a few of the smallest eigenvalues and eigenvectors, multiply symmetric banded matrix with full matrix, among others.

this octave add-on package is part of the octave-forge project.