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20082026
most citedManopt, a Matlab toolbox for optimization on manifolds

786 citations · 2.1k across the 40 of their papers we have counts for

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5 papers · 1 filter

math.NA2020★ 69 cited

A Grassmann Manifold Handbook: Basic Geometry and Computational Aspects

Thomas Bendokat, Ralf Zimmermann, P. -A. Absil

The Grassmann manifold of linear subspaces is important for the mathematical modelling of a multitude of applications, ranging from problems in machine learning, computer vision an…

math.NA2020★ 4 cited

Alternating minimization algorithms for graph regularized tensor completion

Yu Guan, Shuyu Dong, Bin Gao +2

We consider a Canonical Polyadic (CP) decomposition approach to low-rank tensor completion (LRTC) by incorporating external pairwise similarity relations through graph Laplacian re…

math.NA2014

Proceedings of the second "international Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST'14)

L. Jacques, C. De Vleeschouwer, Y. Boursier +64

The implicit objective of the biennial "international - Traveling Workshop on Interactions between Sparse models and Technology" (iTWIST) is to foster collaboration between interna…

math.NA2008★ 22 cited

A geometric Newton method for Oja's vector field

P. -A. Absil, M. Ishteva, L. De Lathauwer +1

Newton's method for solving the matrix equation runs up against the fact that its zeros are not isolated. This is due to a symmetry of by the action of…

math.NA2008★ 6 cited

Two-sided Grassmann-Rayleigh quotient iteration

P. -A. Absil, P. Van Dooren

The two-sided Rayleigh quotient iteration proposed by Ostrowski computes a pair of corresponding left-right eigenvectors of a matrix . We propose a Grassmannian version of this…