Numerical Methods for Scientists and Engineers
Numerical Methods for Scientists and Engineers
Loss of Significance in Floating Point Subtraction and Addition
IEEE Transactions on Computers
Analysis of Rounding Methods in Floating-Point Arithmetic
IEEE Transactions on Computers
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In many computers floating point arithmetic operations are performed by subprograms: software packages in the case of most small computers, and micro-programmed read-only memories in some larger systems. In such a subprogram there are normally several free choices as to which set of conditions gets a speed advantage. If this advantage is given to the most probable case then there will be an increase in system performance with no increase in cost.