On approximating the eigenvalues and eigenvectors of linear continuous operators7 years agoAbstract We consider the computing of an eigenpair (an eigenvector v=(v^{(i)})_{i=1,n} and an eigenvalue \lambda) of a matrix A\in\mathbb{R}^{n\times n}, by…
On the Chebyshev method for approximating the eigenvalues of linear operators7 years agoAbstract We study the approximation of an eigenpair (an eigenvalue and a corresponding eigenvector) of a a linear operator T from…
On some interpolatory iterative methods for the second degree polynomial operators (I)7 years agoAbstract In this note we consider the chord (secant) method and the Steffensen method for solving polynomial operators of degree…
Remarks on some Newton and Chebyshev-type methods for approximation eigenvalues and eigenvectors of matrices7 years agoAbstract We consider a square matrix A with real or complex elements. We denote \mathbb{K}=\mathbb{R} or \mathbb{C} and we are…