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A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold - MaRDI portal

A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold

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Publication:6611976

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DOI10.1553/etna_vol60s501zbMath1547.65099MaRDI QIDQ6611976

Marco Sutti

Publication date: 27 September 2024

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

Newton's method Stiefel manifold Fréchet derivative shooting methods Riemannian distance endpoint geodesic problem

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Implicit function theorems; global Newton methods on manifolds (58C15) Numerical computation of matrix exponential and similar matrix functions (65F60) Numerical methods for matrix equations (65F45)

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