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Multi-Linearity Self-Testing with Relative Error

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We investigate self-testing programs with relative error by allowing error terms proportional to the function to be computed.In the self-testing literature for numerical computations, only absolute errors and sublinear (in the input size) errors were previously studied. We construct new self-testers with relative error for real-valued multi-linear functions defined over finite rational domains. The existence of such self-testers positively solves an open question in [KMS2].

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Correspondence to Frédéric Magniez.

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Magniez, F. Multi-Linearity Self-Testing with Relative Error. Theory Comput Syst 38, 573–591 (2005).

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