Establishes a unifying framework for NEPv/NPDo methods guaranteeing monotonic convergence to stationary points for atomic functions and convex compositions on the Stiefel manifold.
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UNVERDICTED 3representative citing papers
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.
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
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A Theory of the NEPv Approach for Optimization On the Stiefel Manifold
Establishes a unifying framework for NEPv/NPDo methods guaranteeing monotonic convergence to stationary points for atomic functions and convex compositions on the Stiefel manifold.
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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.
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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.