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Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions
The paper develops the local convergence of Inexact Newton-Like Method (INLM) for approximating solutions of nonlinear equations in Banach space...
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Interval Matrices with Monge Property
We generalize the Monge property of real matrices for interval matrices. We define two classes of interval matrices with the Monge property—in a...
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Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems
This work is concerned with adaptive hybridizable discontinuous Galerkin methods of nonstationary convection diffusion problems. We address first the...
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Structured backward error analysis for generalized saddle point problems
Recently, the structured backward errors for the generalized saddle point problems with some different structures have been studied by some authors,...
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Error estimation for quadrature by expansion in layer potential evaluation
In boundary integral methods it is often necessary to evaluate layer potentials on or close to the boundary, where the underlying integral is...
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Analytic enclosure of the fundamental matrix solution
This work describes a method to rigorously compute the real Floquet normal form decomposition of the fundamental matrix solution of a system of...
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First Order Perturbation and Local Stability of Parametrized Systems
A problem frequently encountered in geometric constraint solving and related settings is to ascertain sensitivity of solutions arising from a well...
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Weaker convergence conditions for the secant method
We use tighter majorizing sequences than in earlier studies to provide a semilocal convergence analysis for the secant method. Our sufficient...
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On a new semilocal convergence analysis for the Jarratt method
We develop a new semilocal convergence analysis for the Jarratt method. Through our new idea of recurrent functions, we develop new sufficient...
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Convergence of Halley’s method for operators with the bounded second Fréchet-derivative in Banach spaces
In this paper, we present a semi-local convergence analysis of Halley’s method for approximating a locally unique solution of a nonlinear equation in...
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Extending the applicability of Newton’s method using nondiscrete induction
We extend the applicability of Newton’s method for approximating a solution of a nonlinear operator equation in a Banach space setting using...
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Numerical studies for the variable-order nonlinear fractional wave equation
In this paper, the explicit finite difference method (FDM) is used to study the variable order nonlinear fractional wave equation. The fractional...
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On some quadrature rules with Laplace end corrections
We investigate quadrature rules with Laplace end corrections that depend on a parameter β . Specific values of β yield sixth order rules. We apply our...
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Numerical solution of Fredholm integral equations of first kind by two-dimensional trigonometric wavelets in holder space C α([a, b])
In this article, we employ trigonometric wavelet bases to numerical solution of Fredholm integral equations of first kind in Holder space. Employment...
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A two-grid algorithm based on Newton iteration for the stream function form of the Navier-Stokes equations
In this paper, we propose a two-grid algorithm for solving the stream function formulation of the stationary Navier-Stokes equations. The algorithm...
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Ball convergence theorems for Halley’s method in Banach space
We provide local convergence results for Halley’s method in order to approximate a locally unique zero of an operator in a Banach space setting using...
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Accurate solutions of M-matrix algebraic Riccati equations
This paper is concerned with the relative perturbation theory and its entrywise relatively accurate numerical solutions of an M -matrix Algebraic...
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Error estimation of floating-point summation and dot product
We improve the well-known Wilkinson-type estimates for the error of standard floating-point recursive summation and dot product by up to a factor 2....
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Accurate solutions of M-matrix Sylvester equations
This paper is concerned with a relative perturbation theory and its entrywise relatively accurate numerical solutions of an M -matrix Sylvester...