36 citations · 61 across the 23 of their papers we have counts for
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math.OC2014★ 36 cited
A new convergence proof for the higher-order power method and generalizations
André Uschmajew
A proof for the point-wise convergence of the factors in the higher-order power method for tensors towards a critical point is given. It is obtained by applying established results…
math.NA2014★ 1 cited
On low-rank approximability of solutions to high-dimensional operator equations and eigenvalue problems
Daniel Kressner, André Uschmajew
Low-rank tensor approximation techniques attempt to mitigate the overwhelming complexity of linear algebra tasks arising from high-dimensional applications. In this work, we study…
math.OC2014
Convergence results for projected line-search methods on varieties of low-rank matrices via Łojasiewicz inequality
Reinhold Schneider, André Uschmajew
The aim of this paper is to derive convergence results for projected line-search methods on the real-algebraic variety of real matrices of rank a…