Rounding Errors in Algebraic Processes
Rounding Errors in Algebraic Processes
Best “ordering” for floating-point addition
ACM Transactions on Mathematical Software (TOMS)
A comparison of floating point summation methods
Communications of the ACM
Communications of the ACM
A comparison of methods for accurate summation
ACM SIGSAM Bulletin
Floating-Point Computation of Functions with Maximum Accuracy
IEEE Transactions on Computers
The impact of data distribution in accuracy and performance of parallel linear algebra subroutines
VECPAR'10 Proceedings of the 9th international conference on High performance computing for computational science
Finding rare numerical stability errors in concurrent computations
Proceedings of the 2013 International Symposium on Software Testing and Analysis
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This paper describes an alternate method for summing a set of floating-point numbers. Comparison of the error bound for this method with that of the standard summation method shows that it is considerably less sensitive to propagation of round-off error.