(DM42) Matrix exponential
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08-21-2023, 07:03 PM
Post: #20
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RE: (DM42) Matrix exponential
Hi Albert
note the below matrix is row oriented, which c, HP50g, DM42 calculators are using (fortran is column, I don't know about xcas, but I get different result than you) For the 2x2 example , your reference A= [[ -49, 24][-64 ,31 ] ] = [[1, 3] [2, 4]] × [[ -1, 0] [0, -17]] x INV[[ 1, 3][2, 4]] exp(A)=[[1, 3] [2, 4]] × [[ exp(-1) , 0] [0, exp(-17)]] x INV[[ 1, 3][2, 4]] = [[ -0.735759... , 0.551819... ] [-1.471518..., 1.103638...]] I can get full accuracy (31- 32 digits) on DM42. But my implementation on HP50g using double binary floating point fails. br Gjermund |
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