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Concept

Neumaier Compensated Accumulator

An algorithm that improves the accuracy of floating-point summation by recording the rounding error of each addition.

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Nov 6

The paper optimizes on the Stiefel manifold St(k, D), using a fourth-order polar decomposition retraction together with a Neumaier compensated accumulator, and reports an orthogonality error of ||X^T X - I_k|| ≤ 10^-15 with no catastrophic drift.

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