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math.NA2013★ 13 cited
On the decay of elements of inverse triangular Toeplitz matrix
Neville Ford, D. V. Savostyanov, N. L. Zamarashkin
We consider half-infinite triangular Toeplitz matrices with slow decay of the elements and prove under a monotonicity condition that elements of the inverse matrix, as well as elem…
math.NA2010★ 7 cited
Fast truncation of mode ranks for bilinear tensor operations
Dmitry Savostyanov, Eugene Tyrtyshnikov, Nikolay Zamarashkin
We propose a fast algorithm for mode rank truncation of the result of a bilinear operation on 3-tensors given in the Tucker or canonical form. If the arguments and the result have…