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 ...

We introduce some iterative methods for solving the linear system $\boldsymbol{Ax}=\boldsymbol{b}$ in this chapter. Why do we need iterative methods? Reduce the cost ...

In this paper, a series of bicomplex representation methods of quaternion division algebra is introduced. We present a new multiplication concept of quaternion matrices, a new determinant concept, a ...

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

The objectives of this course are: to develop competence in the basic concepts of linear algebra, including systems of linear equations, vector spaces, subspaces, linear transformations, the ...

The best theory currently available to describe the formation of hadronic particles like protons and neutrons is Quantum Chromodynamics (QCD). It predicts the existence of quarks and gluons, although ...

ABSTRACT: New approach to systems of polynomial recursions is developed based on the Carleman linearization procedure. The article is divided into two main sections: firstly, we focus on the case of ...