The algebraic eigenvalue problem
The algebraic eigenvalue problem
Computation of elementary functions on the IBM RISC System/6000 processor
IBM Journal of Research and Development
Fast evaluation of elementary mathematical functions with correctly rounded last bit
ACM Transactions on Mathematical Software (TOMS)
On properties of floating point arithmetics: numerical stability and the cost of accurate computations
Computational geometry in C
Elementary functions: algorithms and implementation
Elementary functions: algorithms and implementation
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
ACM Transactions on Mathematical Software (TOMS)
The K5 transcendental functions
ARITH '95 Proceedings of the 12th Symposium on Computer Arithmetic
Exact Computation of a Sum or Difference with Applications to Argument Reduction
ARITH '95 Proceedings of the 12th Symposium on Computer Arithmetic
Accurate Floating Point Summation
Accurate Floating Point Summation
Rounding Errors in Algebraic Processes
Rounding Errors in Algebraic Processes
Improving accuracy for matrix multiplications on GPUs
Scientific Programming
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Correcting an infinite loop in Douglas M. Priest's renormalization algorithm, the theory proved here supports streamlined algorithms to resolve the tablemaker's dilemma for the floating-point computation of real and complex sums and dot-products, properly rounded to the ultimate digit. Applications include computations of areas, volumes, and intersections.