Abstract: Many problems of industrial and scientific interest require the solving of tridiagonal linear systems. This paper presents several implementations for the parallel solving of large ...

An algorithm is presented for solving a system of linear equations Bu = k where B is tridiagonal and of a special form. This form arises when discretizing the equation - d/dx (p(x) du/dx) = k(x) (with ...

Advanced computational models and simulations to unravel the complexities of brain function have known a growing interest in recent years in the field of neurosciences, driven by significant ...

This project consists of three tasks: 1) analyzing the execution time of chol(A) for Cholesky decomposition to verify cubic complexity. 2) working with sparse matrices stored efficiently using few ...

Abstract: Tridiagonal systems are among the most fundamental computations in science, engineering, and mathematics, and one solver used in such systems is Tree Partitioning Reduction (TPR), which is a ...

One of the unitary forms of the quantum mechanical time evolution operator is given by Cayley's approximation. A numerical implementation of the same involves the replacement of second derivatives in ...

System and User Environment Variables have always been a complex topic of discussion for day-to-day Windows OS users. What do they do? A tutorial on the internet said to add a PATH variable, but what ...

In the last days, I tried using two scipy functions, scipy.linalg.solve_banded (to solve a linear system with tridiagonal matrix) and scipy.signal.residue (to compute a partial fraction decomposition) ...