IEEE

A New Parallel Symmetric Tridiagonal Eigensolver Based on Bisection and Inverse Iteration Algorithms for Shared-Memory Multi-core Processors

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 ...
IEEE

AH-TDMA: An Adaptive Heterogeneous Tridiagonal Matrix Algorithm on the New Sunway Supercomputer

Abstract: The solution of tridiagonal linear systems is used in in various fields and plays a crucial role in numerical simulations. However, there is few efficient solver for tridiagonal linear ...
Scientific Research Publishing

Mazilu, I., Mazilu, D.A. and Williams, H.T. (2012) Applications of Tridiagonal Matrices in Non-Equilibrium Statistical Physics. Electronic Journal of Linear Algebra, 24, 7-17.

ABSTRACT: 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 ...
GitHub

Cyclically Tridiagonal Matrices? #404

Any plans on implementing solvers for Cyclically Tridiagonal Matrices? Also, algorithms with Symmetric Tridiagonal Matrices and Symmetric Cyclically Tridiagonal Matrices usually go together, but my ...
GitHub

README.md

A Python implementation of the Thomas Algorithm (also known as the tridiagonal matrix algorithm) for efficiently solving tridiagonal linear systems. This solver implements the Thomas Algorithm to ...
Scientific Research Publishing

Martin, A. and Boyd, I.D. (2010) Variant of the Thomas Algorithm for Opposite-Bordered Tridiagonal Systems of Equations. International Journal for Numerical Methods in ...

ABSTRACT: 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 ...