Reduced digital nets

Vishnupriya Anupindi; Peter Kritzer

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arXiv · 2501.13659

Reduced digital nets

Vishnupriya Anupindi·Peter Kritzer

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Abstract

In the recent papers ``The fast reduced QMC matrix-vector product'' (J. Comput. Appl. Math. 440, 115642, 2024) and ``Column reduced digital nets'' (submitted), it was proposed to use QMC rules based on reduced digital nets which provide a speed-up in the computation of QMC vector-matrix products that may occur in practical applications. In this paper, we provide upper bounds on the quality parameter of row reduced and column-row reduced digital nets, which are helpful for the error analysis of using reduced point sets as integration nodes in a QMC rule. We also give remarks on further aspects and comparisons of row reduced, column reduced, and column-row reduced digital net.

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Vishnupriya Anupindi, Peter Kritzer. 2025-01-23. Reduced digital nets. https://arxiv.org/abs/2501.13659

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