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On the Floating Point Representation of Complex Numbers
August 1975 (vol. 24 no. 8)
pp. 846-848
C.K. Yuen, Computer Center, Australian National University
It is shown that arithmetic operations are simplified if complex numbers are represented in an integrated form with real and imaginary parts sharing the same exponent. In the new representation, numbers with large magnitudes suffer increased rounding errors but errors for some other numbers decrease.
Index Terms:
Complex numbers, floating point, imaginary base, negative base, number representation, rounding errors.
Citation:
C.K. Yuen, "On the Floating Point Representation of Complex Numbers," IEEE Transactions on Computers, vol. 24, no. 8, pp. 846-848, Aug. 1975, doi:10.1109/T-C.1975.224321
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