This project presents a MATLAB implementation of a memory-optimized Cholesky–Banachiewicz decomposition for solving linear systems with symmetric positive-definite tridiagonal matrices. The algorithm ...

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 ...

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 ...

Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt. and with This is always a good habit in computation in order to save memory space. Of course, the non-singularity of ...

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.

Abstract: We discuss the parallel implementation of the Cholesky factorization of a positive definite symmetric matrix when that matrix is block tridiagonal. While parallel implementations for this ...