Paper VIII: Packet Operator Algorithms, Exact Compilation, and GPU Realization

How can an operator be compiled into packet blocks while preserving its exact action?

Packet layouts give exact evaluation and composition rules, together with operation and storage counts for declared block structures. The paper separates these semantics from numerical and GPU realization questions.

Assumptions and limits. Exact identities use the stated matrix and layout assumptions. The inherited formal contract excludes numerical QR/SVD and canonical singular-value API identification; GPU execution was not performed.

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Recorded results and limits: Internal publication release is complete. The inherited finite formal contract excludes numerical QR/SVD and canonical singular-value API identification. GPU execution was not performed.

Remaining work: Choose a bounded numerical or GPU validation target and record actual execution before expanding implementation claims.

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