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 ...

Splines are functions used in interpolation and curve modeling to create smooth transitions between data points. One of the most common types of spline is the cubic spline, which is often used due to ...

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 ...

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.

Tridiagonal systems of linear equations arise naturally in the numerical treatment of one-dimensional boundary value problems, discretised partial-differential equations and many time-stepping schemes ...