A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds

The Geometry of Algorithms with Orthogonality Constraints

Alan Edelman, T. A. Arias, Steven T. Smith · SIAM Journal on Matrix Analysis and Applications · 1998 · 2.7K citations

Numerical Analysis, Mathematical Programming, Orthogonality Constraints +15

Complexity and real computation

Choice Reviews Online · 1998 · 1.3K citations

Mathematical Programming, Condition Numbers, Engineering +12

Newton's method on Riemannian manifolds and a geometric model for the human spine

Roy L. Adler · IMA Journal of Numerical Analysis · 2002 · 275 citations

Geometric Modeling, Numerical Analysis, Engineering +14

Optimization techniques on Riemannian manifolds

Steven J. Smith · 1995 · 264 citations

Spectral Theory, Numerical Analysis, Engineering +16

Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods

Peter Deuflhard, Gerhard Heindl · SIAM Journal on Numerical Analysis · 1979 · 259 citations