Abstract: Although it is known that Gaussian elimination method for solving simultaneous linear equations is not asymptotically optimal, it is still one of the most useful methods for solving systems ...

Each method is implemented in a separate Jupyter Notebook, and the code is designed to solve a system of three linear equations with three variables. Jacobi's method is an iterative algorithm for ...

The traditional user of scientific computing prefers to use well proven routines that are recognized by the international scientific community. Among the well-known collections are IMSL, NAG and ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...

Abstract: An H-matrix accelerated direct solver employing the high-order Chebyshev-based Boundary Integral Equation (CBIE) method has been formulated, tested, and profiled for performance on high ...