Rounding Errors in Complex Floating-Point …

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SimonFraserUniversityRoundingErrorsin Complex floating -PointMultiplication sign,significand,andexponent, ,( 1)s e B mwherefs; e; mg N,0< e < E, t 1 m < t, and ; t; B; Eareparametersof specialcase,e= 0andm= t 1represents IEEE754 double precision arithmetic, = 2,t= 53,B= 1075andE= , infinities, andNaNs, but innumericalcodethey Complex floating -PointMultiplication sign,significand,andexponent, ,( 1)s e B mwherefs; e; mg N,0< e < E, t 1 m < t, and ; t; B; Eareparametersof specialcase,e= 0andm= t 1represents IEEE754 double precision arithmetic, = 2,t= 53,B= 1075andE= , infinities, andNaNs, but innumericalcodethey Complex floating -PointMultiplication sign,significand,andexponent, ,( 1)s e B mwherefs; e; mg N,0< e < E, t 1 m < t, and ; t; B; Eareparametersof specialcase,e= 0andm= t 1represents IEEE754 double precision arithmetic, = 2,t= 53,B= 1075andE= , infinities, andNaNs, but innumericalcodethey Complex floating -PointMultiplication sign,significand,andexpo

Rounding Errors in Complex Floating-Point Multiplication Colin Percival cperciva@irmacs.sfu.ca IRMACS, Simon Fraser University Rounding Errors in Complex Floating-Point Multiplication – p.1/24

  Points, Floating, Complex, Multiplication, Rounding, In complex floating point, In complex floating point multiplication