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 ...

One scene reflects the themes — A.I., fake news, transgender lives and Gen X — that make the film a classic. By Alissa Wilkinson Neo, the hero of “The Matrix,” is sure he lives in 1999. He has a green ...

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: This paper proposes a method for speeding up the estimation of the absolute value of largest eigenvalue of an asymmetric tridiagonal matrix based on Power ...

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 ...

A new method for solving the 1D Poisson equation is presented using the finite difference method. This method is based on the exact formulation of the inverse of the tridiagonal matrix associated with ...

Abstract: Orthonormal eigenvectors are efficiently generated for the DFT-IV matrix G by a detailed eigenanalysis of a nearly tridiagonal matrix S which commutes with matrix G. Matrix S is reduced to a ...