Tridiagonal matrix systems, characterised by nonzero entries on the main diagonal and immediate off-diagonals, arise in diverse fields such as fluid dynamics, signal processing and quantum mechanics.

Tridiagonal systems of linear equations arise naturally in the numerical treatment of one-dimensional boundary value problems, discretised partial-differential equations and many time-stepping schemes ...

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Matrix classes for matrices that are block-tridiagonal and sparse, and simply "block sparse". These talk together, and furthermore containts an algorithm for inversion of the block-tridiagonal version ...

Abstract: In order to accelerate the subset computation of eigenpairs for real symmetric tridiagonal matrices on shared-memory multi-core processors, a parallel symmetric tridiagonal eigensolver is ...

In the current article we propose a new efficient, reliable and breakdown-free algorithm for solving general opposite-bordered tridiagonal linear systems. An explicit formula for computing the ...