Accurate Complex Multiplication in Floating-Point Arithmetic

2019 IEEE 26th Symposium on Computer Arithmetic (ARITH)（2019）

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摘要

We deal with accurate complex multiplication in binary floating-point arithmetic, with an emphasis on the case where one of the operands is a "double-word" number. We provide an algorithm that returns a complex product with normwise relative error bound close to the best possible one, i.e., the rounding unit u.

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关键词

Floating-point arithmetic, Complex multiplication, Rounding error analysis

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