We use the QR-decomposition to obtain the eigenvalues of a matrix. The method is iterative and builds an upper-triangular matrix. The eigenvalues appear as the diagonal terms ...

Adomian's decomposition method (ADM) is a nonnumerical method which can be edapted for solving nonlinear ordinary differential equations. In this paper, the principle of the ...

ElementaryDecompositions.m is a package for factoring matrices with entries in a Euclidean ring as a product of elementary matrices, permutation matrices, and a diagonal ...

In this article, we propose two MathematicaTM packages for doing calculations in the domain of classical simple Lie algebras.The main goal of the first package, ...

In this paper, we consider obtaining approximate doubly periodic wave solutions of the coupled Drinfel
d–Sokolov–Wilson equation by using the Adomian decomposition method ...

In 1799 Carl Friedrich Gauss gave a proof of the Fundamental Theorem of Algebra using an implied decomposition theorem for real algebraic plane curves. This decomposition was ...

In this paper, we consider to obtain approximate Jacobi elliptic function solutions of the (1 + 1)-dimensional long wave equation by using the Adomian decomposition method. ...

The packages Numerico.m and Numerial.m provide routines for direct methods of solving linear systems. These routines include vector norms, LU decomposition, and Cholesky ...

The ancient Egyptians used a different representation of a number than we do: they expressed a number as a sum of its integer part and a sum of simple fractions with ...

The equilibrium reaction considered here is the decomposition of pure nitrogen tetroxide (N2O4) into nitrogen dioxide (NO2). We use the thermodynamic data (constant pressure ...