Add to ORKGThe convergence properties of Newton’s method for systems of equations with constant rank derivatives are studied under the hypothesis that the derivatives satisfy some weak Lipschitz conditions. The unified convergence results, which include Kantorovich type theorems and Smale’s point estimate theorems as special cases, are obtained
The convergence domain for both the local and semilocal case of Newton’s method for Banach space val...
The classical Kantorovich theorem on Newton's method assumes that the first derivative of the operat...
Abstract. We present new semilocal convergence theorems for New-ton methods in a Banach space. Using...
AbstractThe present paper is concerned with the convergence problem of Newton's method to solve sing...
Abstract. We use Newton’s method to solve systems of equations with constant rank derivatives. Motiv...
AbstractThe famous Newton–Kantorovich hypothesis has been used for a long time as a sufficient condi...
AbstractThe notions of Lipschitz conditions with L average are introduced to the study of convergenc...
AbstractIn this paper we study the convergence properties of Newton's sequence for analytic systems ...
AbstractWe provide sufficient conditions for the convergence of the Newton-like methods in the assum...
AbstractThe classical Kantorovich theorem on Newton's method assumes that the first derivative of th...
AbstractUnder weak Lipschitz condition, local convergence properties of inexact Newton methods and N...
AbstractThe famous Newton–Kantorovich hypothesis has been used for a long time as a sufficient condi...
AbstractThe famous Newton–Kantorovich hypothesis (Kantorovich and Akilov, 1982 [3], Argyros, 2007 [2...
We study the local convergence properties of inexact Newton-Gauss method for singular systems of equ...
AbstractNewton’s method is often used for solving nonlinear equations. In this paper, we show that N...
The convergence domain for both the local and semilocal case of Newton’s method for Banach space val...
The classical Kantorovich theorem on Newton's method assumes that the first derivative of the operat...
Abstract. We present new semilocal convergence theorems for New-ton methods in a Banach space. Using...
AbstractThe present paper is concerned with the convergence problem of Newton's method to solve sing...
Abstract. We use Newton’s method to solve systems of equations with constant rank derivatives. Motiv...
AbstractThe famous Newton–Kantorovich hypothesis has been used for a long time as a sufficient condi...
AbstractThe notions of Lipschitz conditions with L average are introduced to the study of convergenc...
AbstractIn this paper we study the convergence properties of Newton's sequence for analytic systems ...
AbstractWe provide sufficient conditions for the convergence of the Newton-like methods in the assum...
AbstractThe classical Kantorovich theorem on Newton's method assumes that the first derivative of th...
AbstractUnder weak Lipschitz condition, local convergence properties of inexact Newton methods and N...
AbstractThe famous Newton–Kantorovich hypothesis has been used for a long time as a sufficient condi...
AbstractThe famous Newton–Kantorovich hypothesis (Kantorovich and Akilov, 1982 [3], Argyros, 2007 [2...
We study the local convergence properties of inexact Newton-Gauss method for singular systems of equ...
AbstractNewton’s method is often used for solving nonlinear equations. In this paper, we show that N...
The convergence domain for both the local and semilocal case of Newton’s method for Banach space val...
The classical Kantorovich theorem on Newton's method assumes that the first derivative of the operat...
Abstract. We present new semilocal convergence theorems for New-ton methods in a Banach space. Using...