An NPDo approach is developed for computing Principal Tensor Block-Diagonalization of tensors, generalizing Tucker decomposition and approximate tensor SVD, with a Gauss-Seidel update shown to be globally convergent to a stationary point.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
citation-role summary
background 2
citation-polarity summary
fields
math.NA 3years
2026 3verdicts
UNVERDICTED 3roles
background 2polarities
background 2representative citing papers
The paper proves that both HOOI and ASI converge globally to stationary points for Tucker decomposition of complex tensors, with the objective function increasing monotonically under mild conditions.
An NPDo approach combined with Gauss-Seidel updating is globally convergent to a stationary point for maximizing common dominant block-diagonal parts in joint SVD-type block diagonalization.
citing papers explorer
-
An NPDo Approach for Tensor Block-Diagonalization
An NPDo approach is developed for computing Principal Tensor Block-Diagonalization of tensors, generalizing Tucker decomposition and approximate tensor SVD, with a Gauss-Seidel update shown to be globally convergent to a stationary point.
-
Convergence Analysis of Two Alternating Iterative Schemes for Tucker Decomposition
The paper proves that both HOOI and ASI converge globally to stationary points for Tucker decomposition of complex tensors, with the objective function increasing monotonically under mild conditions.
-
An NPDo Approach for Principal Joint SVD-type Block Diagonalization
An NPDo approach combined with Gauss-Seidel updating is globally convergent to a stationary point for maximizing common dominant block-diagonal parts in joint SVD-type block diagonalization.