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This category marks all the ICTP posts containing the pdf file of the paper/book.

Error estimation in numerical solution of equations and systems of equations

8 years ago

Abstract In [7], [8], M. Urabe studies the numerical convergence and error estimation in the case of operatorial equation solution…

Optimal problems concerning interpolation methods of solution of equations

8 years ago

Abstract We consider optimality problems regarding the order of convergence of the iterative methods which are obtained by inverse interpolation…

On the Steffensen method for solving nonlinear operator equations

8 years ago

Abstract We consider the equation \[F\left( x\right) =x-A\left( x\right)=0,\] where \(A\) is an operator from a Banach space \(X\) to…

On approximating the eigenvalues and eigenvectors of linear continuous operators

8 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

8 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

8 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

8 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

8 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

8 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

8 years ago

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

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