This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL factorization.

Abstract: Tridiagonal system solver is an important kernel in many scientific and engineering applications. Even though quite a few parallel algorithms and implementations have been addressed in ...

Numeric algorithms for solving the linear systems of tridiagonal type have already existed. The well-known Thomas algorithm is an example of such algorithms. The current paper is mainly devoted to ...

Toeplitz tridiagonal matrix; Crout’s method; tridiagonal and diagonally dominant matrix For example, in Meurant’s paper 16 some results concerning the characterization of inverses of symmetric ...

This program compares the Thomas Algorithm and the Gauss-Jordan Method for solving tridiagonal systems of linear equations. It evaluates their performance by measuring CPU time and residual errors ...

In this paper we present new formulas for characterizing the sensitivity of tridiagonal systems that are independent of the condition number of the underlying matrix. We also introduce efficient ...

PaScaL_TDMA 2.0: Parallel and Scalable Library for TriDiagonal Matrix Algorithm PaScaL_TDMA provides an efficient and scalable computational procedure to solve many tridiagonal systems in ...

This paper studies monotone tridiagonal systems with negative feedback. These systems possess the Poincaré-Bendixson property, which implies that, if orbits are bounded, if there is a unique steady ...