Scientific Research Publishing

Inverse Nonnegativity of Tridiagonal M-Matrices under Diagonal Element-Wise Perturbation ()

1 Department of Mathematics, Faculty of Science, Menoufia University, Shebeen El-Kom, Egypt. 2 Department of Mathematics, Faculty of Science, Zagazig University, Ash Sharqiyah, Egypt. In many ...
Scientific Research Publishing

A New Symbolic Algorithm for Solving General Opposite-Bordered Tridiagonal Linear Systems ()

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 ...
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 ...
GitHub

implement Tridiagonal, Bidiagonal, and Triangular eigensolvers

Currently, eig and similar throw no method eigfact when applied to these types of matrices. We should be able to provide efficient LAPACK-based solvers for these types. For Tridiagonal, we can exploit ...
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 ...
JSTOR Daily

Convergence Properties of Preconditioned Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Semidefinite Matrices

For the non-Hermitian and positive semidefinite systems of linear equations, we derive necessary and sufficient conditions for guaranteeing the unconditional convergence of the preconditioned ...