Algebraic multigrid (AMG) methods have emerged as a crucial tool for efficiently solving large, sparse linear systems, particularly those arising in complex scientific and engineering simulations.

Introduces linear algebra and matrices with an emphasis on applications, including methods to solve systems of linear algebraic and linear ordinary differential equations. Discusses vector space ...

For a square matrix ( A ), an eigenvalue ( \lambda ) and a corresponding eigenvector ( v ) are defined by the equation: [ Av = \lambda v ] The eigenvalue ( \lambda ) is a scalar that scales the ...

The program is written in C++ and solves the algebraic Riccati equation with a singular matrix E using the ADI method. Equation is taken from Shafiee's article «Optimal control for a class of singular ...