Fetching the paper…
Reading the bibliography…
A general class of Newton algorithms on Gra{\ss}mann and Lagrange-Gra{\ss}mann manifolds is introduced, that depends on an arbitrary pair of local coordinates.
Minimizing a differentiable function over a differentiable manifold
D. Gabay · 1982
Earlier work this paper cites.
Linear and nonlinear programming
D. G. Luenberger · 1984
Earlier work this paper cites.
Grassman manifolds as subsets of Euclidean spaces
A. Machado and I. Salavessa · 1985
Earlier work this paper cites.
Some remarks on dynamical systems and numerical analysis
M. Shub · 1986
Earlier work this paper cites.
Optimization and Dynamical Systems
U. Helmke and J.B. Moore · 1994
Earlier work this paper cites.
Optimization algorithms on homogeneous spaces
R. Mahony · 1994
Earlier work this paper cites.
Optimization techniques on Riemannian manifolds
S.T. Smith · 1994
Cited alongside, same era.
Convex Functions and Optimization Methods on Riemannian Manifolds
C. Udrişte · 1994
Cited alongside, same era.
Lie groups beyond an introduction
A.W. Knapp · 1996
Cited alongside, same era.
The geometry of algorithms with orthogonality constraints
A. Edelman, T.A. Arias, and S.T. Smith · 1998
Cited alongside, same era.
Riemannian Geometry and Geometric Analysis
J. Jost · 1998
Cited alongside, same era.
Fundamentals of Differential Geometry
S. Lang · 1999
Later among the works it cites.
Newton’s method on Riemannian manifolds and a geometric model for the human spine
R.L. Adler, J.-P. Dedieu, J.Y. Margulies, M. Martens, and M. Shub · 2002
Later among the works it cites.
Invariant Subspace Computation: A Geometric Approach
P.-A. Absil · 2003
Later among the works it cites.
Riemannian geometry of Grassmann manifolds with a view on algorithmic computation
P.-A. Absil, R. Mahony, and R. Sepulchre · 2004
Later among the works it cites.
Newton-like methods for numerical optimization on manifolds
K. Hüper and J. Trumpf · 2005
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…