Add to ORKGAbstract The estimates of the radii of convergence balls of the Newton method and uniqueness balls of zeroes of vector elds on the Riemannian manifolds are given under the assumption that the covariant derivatives of the vector elds satisfy some kind of gen-eral Lipschitz conditions. Some classical results such as the Kantorovich's type theorem and the Smale's -theory are extended
The convergence properties of Newton’s method for systems of equations with constant rank derivative...
AbstractThe generalized radius and center Lipschitz conditions with L average are introduced to inve...
In this paper, Smale’s α theory is generalized to the context of intrinsic Newton iteration on geode...
AbstractOne kind of the L-average Lipschitz condition is introduced to covariant derivatives of sect...
AbstractNewton's method for finding a zero of a vectorial function is a powerful theoretical and pra...
One kind of the L-average Lipschitz condition is introduced to covariant derivatives of sections on ...
Newton’s method for finding a zero of a vectorial function is a pow-erful theoretical and practical ...
Newton’s method for finding a zero of a vectorial function is a powerful theoreti-cal and practical ...
Under the hypotheses that a function and its Frechet derivative satisfy some generalized Newton-Myso...
A robust affine invariant version of Kantorovich’s theorem on Newton’s method, for finding a zero of...
We consider the problem of nding a singularity of a vector eld X on a complete Riemannian manifol...
Under the hypotheses that a function and its Fréchet derivative satisfy some generalized Newton...
AbstractUnder the hypotheses that nonlinear operators have (K, p)-Hölder-type continuous derivatives...
A new Kantorovich-type convergence theorem for Newton's method is established for approximating a lo...
In this paper, Smale's theory is generalized to the context of intrinsic Newton iteration on ...
The convergence properties of Newton’s method for systems of equations with constant rank derivative...
AbstractThe generalized radius and center Lipschitz conditions with L average are introduced to inve...
In this paper, Smale’s α theory is generalized to the context of intrinsic Newton iteration on geode...
AbstractOne kind of the L-average Lipschitz condition is introduced to covariant derivatives of sect...
AbstractNewton's method for finding a zero of a vectorial function is a powerful theoretical and pra...
One kind of the L-average Lipschitz condition is introduced to covariant derivatives of sections on ...
Newton’s method for finding a zero of a vectorial function is a pow-erful theoretical and practical ...
Newton’s method for finding a zero of a vectorial function is a powerful theoreti-cal and practical ...
Under the hypotheses that a function and its Frechet derivative satisfy some generalized Newton-Myso...
A robust affine invariant version of Kantorovich’s theorem on Newton’s method, for finding a zero of...
We consider the problem of nding a singularity of a vector eld X on a complete Riemannian manifol...
Under the hypotheses that a function and its Fréchet derivative satisfy some generalized Newton...
AbstractUnder the hypotheses that nonlinear operators have (K, p)-Hölder-type continuous derivatives...
A new Kantorovich-type convergence theorem for Newton's method is established for approximating a lo...
In this paper, Smale's theory is generalized to the context of intrinsic Newton iteration on ...
The convergence properties of Newton’s method for systems of equations with constant rank derivative...
AbstractThe generalized radius and center Lipschitz conditions with L average are introduced to inve...
In this paper, Smale’s α theory is generalized to the context of intrinsic Newton iteration on geode...