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.
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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.
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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.
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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.