Closed-form solutions are provided for a family of nonconvex optimization problems on ratios of principal minor products for positive definite matrices, confirming the Ingleton ratio infimum is 16/27 for 4x4 matrices.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Extends ItoyoriFBC with promise-future synchronization via MPI one-sided communication for dynamic dependencies in AMT runtimes, shown with HLU achieving 15.6x speedup on 16 nodes.
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Sharp Inequalities for Products of Principal Minors of Positive Definite Matrices
Closed-form solutions are provided for a family of nonconvex optimization problems on ratios of principal minor products for positive definite matrices, confirming the Ingleton ratio infimum is 16/27 for 4x4 matrices.
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Promise-Future Synchronization for Cluster Asynchronous Many-Task Runtimes via MPI One-Sided Communication
Extends ItoyoriFBC with promise-future synchronization via MPI one-sided communication for dynamic dependencies in AMT runtimes, shown with HLU achieving 15.6x speedup on 16 nodes.