Double-precision square root for the CDC-3600
Communications of the ACM
On the computation of rational approximations to continuous functions
Communications of the ACM
Hardware Starting Approximation Method and Its Application to the Square Root Operation
IEEE Transactions on Computers
Proceedings of the 1999 ACM symposium on Applied computing
Optimal starting values for Newton-Raphson calculation of x1 2
Communications of the ACM
Improvements based on computed errors
Communications of the ACM
A rational approximation optimal by Moursund's criterion
Communications of the ACM
Evaluation of the square root function on microprocessors
ACM '76 Proceedings of the 1976 annual conference
Choosing starting values for certain Newton-Raphson iterations
Theoretical Computer Science - Real numbers and computers
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Several starting approximations for square root calculation by Newton's method are presented in a form to facilitate their use in IBM System/360 square root routines. These approximations include several for the range [1/16, 1], which is the interval of primary interest on IBM System/360.