Title
Multi-linearity Self-Testing with Relative Error
Abstract
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 (KMS03).
Year
DOI
Venue
2005
10.1007/s00224-004-1125-y
Theory of Computing Systems / Mathematical Systems Theory
Keywords
Field
DocType
Relative Error,Numerical Computation,Error Term,Computational Mathematic,Absolute Error
Magnitude (mathematics),Linearity,Algorithm,Linear programming,Error bar,Approximation error,Mathematics,Computation
Journal
Volume
Issue
ISSN
38
5
1432-4350
ISBN
Citations 
PageRank 
3-540-67141-2
3
0.41
References 
Authors
13
1
Name
Order
Citations
PageRank
Frédéric Magniez157044.33