47 citations · 124 across the 19 of their papers we have counts for
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math.NA2014★ 1 cited
A QR Algorithm for Symmetric Tensors
Kim Batselier, Ngai Wong
We extend the celebrated QR algorithm for matrices to symmetric tensors. The algorithm, named QR algorithm for symmetric tensors (QRST), exhibits similar properties to its matrix v…
math.NA2014★ 1 cited
Symmetric Tensor Decomposition by an Iterative Eigendecomposition Algorithm
Kim Batselier, Ngai Wong
We present an iterative algorithm, called the symmetric tensor eigen-rank-one iterative decomposition (STEROID), for decomposing a symmetric tensor into a real linear combination o…
math.NA2014
A Constructive Algorithm for Decomposing a Tensor into a Finite Sum of Orthonormal Rank-1 Terms
Kim Batselier, Haotian Liu, Ngai Wong
We propose a constructive algorithm that decomposes an arbitrary real tensor into a finite sum of orthonormal rank-1 outer products. The algorithm, named TTr1SVD, works by converti…