ACM Transactions on Mathematical Software (TOMS)
Complex matrix inversion versus real
Communications of the ACM
Algorithm 116: Complex division
Communications of the ACM
Rounding Errors in Algebraic Processes
Rounding Errors in Algebraic Processes
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It is shown that use of double precision in complex multiplication and division can significantly reduce rounding errors in these operations. Use of double precision accumulation of inner products in complex multiplication gives very close to the best possible error bound. Use of the same in complex division reduces error bounds, but a double precision divide is necessary to get close to the best possible bound.