The geometry of the Newton method on non-compact Lie groups
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Publication:1864792
DOI10.1023/A:1016586831090zbMath1019.22005OpenAlexW1632150706MaRDI QIDQ1864792
Jonathan H. Manton, Robert Mahony
Publication date: 23 March 2003
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1016586831090
Methods of quasi-Newton type (90C53) Analysis on real and complex Lie groups (22E30) Numerical methods in Fourier analysis (65T99)
Related Items (8)
The continuous-time Rayleigh quotient flow on the sphere ⋮ Gauss-Newton method for convex composite optimizations on Riemannian manifolds ⋮ Critical landscape topology for optimization on the symplectic group ⋮ Riemannian Newton method for positive bounded Hessian functions ⋮ Optimization on the real symplectic group ⋮ Smale's point estimate theory for Newton's method on Lie groups ⋮ Yet another introduction to rough paths ⋮ A reduced parallel transport equation on Lie groups with a left-invariant metric
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