On the Superlinear Convergence of Newton’s Method on Riemannian Manifolds
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-017-1107-2
Abstract: In this paper, we study Newton’s method for finding a singularity of a differentiable vector field defined on a Riemannian manifold. Under the assumption of invertibility of the covariant derivative of the vector field at… read more here.
Keywords: convergence newton; superlinear convergence; method; method riemannian ... See more keywords
Convergence of the Newton-type methods for the square inverse singular value problems with multiple and zero singular values
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.03.011
Abstract: Abstract In this paper, we study the convergence of the Newton-type methods for solving the square inverse singular value problem with possible multiple and zero singular values. Comparing with other known results, positivity assumption of… read more here.
Keywords: newton type; square inverse; inverse singular; convergence newton ... See more keywords