(original)

On approximating the eigenvalues and eigenvectors of linear continuous operators

6 years ago

Abstract 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 monotonicity of the sequences of approximations obtained by Steffensen’s method

6 years ago

Abstract ? AuthorIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) Keywords? PDFScanned paper. PDF-LaTeX version of the paper. Cite this paper…

On the Chebyshev method for approximating the eigenvalues of linear operators

6 years ago

Abstract We study the approximation of an eigenpair (an eigenvalue and a corresponding eigenvector) of a a linear operator T from…

A note on inexact secant methods

6 years ago

Abstract The inexact secant method \([x_{k-1},x_{k};F]s_{k}=-F(x_k) +r_k\), \( x_{k+1}=x_k+s_k\), \( k=1,2,\ldots\), \( x_0,x_1 \in {\mathbb R}^n\) is considered for solving the nonlinear…

On some Steffensen-type iterative methods for a class of nonlinear equations

6 years ago

Abstract Consider the nonlinear equations \(H(x):=F(x)+G(x)=0\), with \(F\) differentiable and \(G\) continuous, where \(F,G,H:X \rightarrow X\) are nonlinear operators and \(X\)…

On some iterative methods for solving nonlinear equations

6 years ago

Abstract Consider the nonlinear equation \(H(x):=F(x)+G(x)=0\), with \(F\) differentiable and \(G\) continuous, where \(F,G,H:X \rightarrow X\), \(X\) a Banach space. The…

On some interpolation iterative methods with optimal convergence speed

6 years ago

Abstract We consider nonlinear equations in \(\mathbb{R}\), and a class of iterative methods obtained by inverse interpolation of Hermite type.…

On the efficiency of the computations for approximating the solutions of equations

6 years ago

Abstract We consider the iterative methods for solving nonlinear equations in \(\mathbb{R}\) and the class of iterative methods obtained by…

On some interpolatory iterative methods for the second degree polynomial operators (I)

6 years ago

Abstract In this note we consider the chord (secant) method and the Steffensen method for solving polynomial operators of degree…

On an approximation formula

6 years ago

Abstract We generalize an approximation formula which in some particular cases has been studied by [J.F. Traub 1964] and \…

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