Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation
| dc.contributor.author | Absil, P-A | |
| dc.contributor.author | Mahony, Robert | |
| dc.contributor.author | Sepulchre, R | |
| dc.date.accessioned | 2015-12-13T22:39:44Z | |
| dc.date.available | 2015-12-13T22:39:44Z | |
| dc.date.issued | 2004 | |
| dc.date.updated | 2015-12-11T09:51:58Z | |
| dc.description.abstract | We give simple formulas for the canonical metric, gradient, Lie derivative, Riemannian connection, parallel translation, geodesics and distance on the Grassmann manifold of p-planes in ℝn. In these formulas, p-planes are represented as the column space | |
| dc.identifier.issn | 0167-8019 | |
| dc.identifier.uri | http://hdl.handle.net/1885/77911 | |
| dc.publisher | Kluwer Academic Publishers | |
| dc.source | Acta Applicandae Mathematicae | |
| dc.subject | Keywords: Algorithms; Matrix algebra; Nonlinear equations; Optimization; Problem solving; Set theory; Theorem proving; Euclidean space; Grassmann manifolds; Invariant subspace; Newton method; Computational geometry Geodesic; Grassmann manifold; Invariant subspace; Levi-civita connection; Mean of subspaces; Newton method; Noncompact stiefel manifold; Parallel transportation; Principal fiber bundle | |
| dc.title | Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation | |
| dc.type | Journal article | |
| local.bibliographicCitation.issue | 2 | |
| local.bibliographicCitation.lastpage | 220 | |
| local.bibliographicCitation.startpage | 199 | |
| local.contributor.affiliation | Absil, P-A, Catholic University of Louvain | |
| local.contributor.affiliation | Mahony, Robert, College of Engineering and Computer Science, ANU | |
| local.contributor.affiliation | Sepulchre, R, Universite de Liege | |
| local.contributor.authoruid | Mahony, Robert, u4033888 | |
| local.description.notes | Imported from ARIES | |
| local.description.refereed | Yes | |
| local.identifier.absfor | 010303 - Optimisation | |
| local.identifier.ariespublication | MigratedxPub6646 | |
| local.identifier.citationvolume | 80 | |
| local.identifier.doi | 10.1023/B:ACAP.0000013855.14971.91 | |
| local.identifier.scopusID | 2-s2.0-1442336159 | |
| local.type.status | Published Version |