Abstract: A number of iterative algorithms to solve integral equations arising in field problems are discussed. We describe the essential features of the Neumann Series, overrelaxation methods, Krylov ...

Absolute value equations (AVEs), characterised by the inclusion of absolute value functions in the variables, present inherently non‐smooth and computationally challenging problems that are often ...

Abstract: In this paper, five iterative methods for solving two coupled fuzzy Sylvester matrix equations are considered. The two coupled fuzzy Sylvester matrix equations are expressed by using the ...

This MATLAB project helps you compare the performance of different methods for solving equations of the form Ax = b. It includes both direct methods like Gaussian Elimination and iterative methods ...

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 ...

ABSTRACT: When trying to fit data to functions of the eigensystem of a pde-eigenvalue problem, such as Maxwell’s equation, numerical differentiation is ineffective and analytic gradients must be ...

Linear solvers are major computational bottlenecks in a wide range of decision support and optimization computations. The challenges become even more pronounced on heterogeneous hardware, where ...