[HTML][HTML] A generalized symbolic Thomas algorithm for the solution of opposite-bordered tridiagonal linear systems

J Jia, T Sogabe, S Li - Journal of Computational and Applied Mathematics, 2015 - Elsevier
In the current paper, we present a generalized symbolic Thomas algorithm, that never
suffers from breakdown, for solving the opposite-bordered tridiagonal (OBT) linear systems …

[HTML][HTML] RETRACTED: New algorithms for numerically solving a class of bordered tridiagonal systems of linear equations

J Jia, S Li - 2019 - Elsevier
After a thorough investigation, the Editors have concluded that the acceptance of this article
was based upon the positive advice of at least one illegitimate reviewer report. The report …

[PDF][PDF] An algorithm for the solution of Bordered ABD linear systems arising from Boundary Value Problems

P Amodio, I Gladwell, G Romanazzi - Multibody Dynamics 2007 …, 2007 - academia.edu
We consider linear systems with coefficient matrices of Bordered ABD structure. They arise
in the discretization of BVPs for ordinary and partial differential equations with non …

Numerical algorithms for the determinants of opposite-bordered and singly-bordered tridiagonal matrices

JT Jia - Journal of Mathematical Chemistry, 2020 - Springer
A recursive algorithm for the determinant evaluation of general opposite-bordered
tridiagonal matrices has been proposed by Jia et al.(J Comput Appl Math 290: 423–432 …

[PDF][PDF] Parallel numerical solution of ABD and BABD linear systems arising from BVPs

P Amodio, G Romanazzi - Scalable Computing: Practice and Experience, 2009 - scpe.org
We consider linear systems with coefficient matrices having the ABD or the Bordered ABD
(BABD) structures. These systems arise in the discretization of BVPs for ordinary and partial …