Solve Systems of Equation with Complex Coefficients

Discussion around the Swiss Micros DM42 calculator.
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gduncan
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Location: Colorado, USA

Solve Systems of Equation with Complex Coefficients

Post by gduncan »

Is there a way to solve a system of equations on the DM42 with complex coefficients? i.e. A*X=B; where A contains complex numbers of the form a+jb.
Any help would be appreciated.

Thanks,

Greg
Logan
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Re: Solve Systems of Equation with Complex Coefficients

Post by Logan »

Perhaps I'm misunderstanding but would it be the same as with a regular matrix but just using a complex matrix?

Create the empty matrix, press Enter to duplicate it, then press COMPLEX to create a complex matrix. Then fill in the matrix with the complex numbers?

Create correctly sized matrix A, duplicate it, turn it complex, and then edit it to fill in the complex numbers.
Create correctly sized matrix B, duplicate it, turn it complex, and then edit it to fill in the complex numbers.
Inverse A, then multiply it by B (A^-1 in y-register, B in X).
DM42 SN:00210
DM41X SN:00014
gduncan
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Re: Solve Systems of Equation with Complex Coefficients

Post by gduncan »

Thank you for this information. This is exactly what I needed to know.
whuyse
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Re: Solve Systems of Equation with Complex Coefficients

Post by whuyse »

Logan wrote:
Wed Nov 07, 2018 6:30 pm
Inverse A, then multiply it by B (A^-1 in y-register, B in X).
With B in Y and A in X, divide. This is both faster and more accurate than inverting A, then multiplying by B.

Cheers, Werner
42S #3249S01123
DM42 #00345
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Walter
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Re: Solve Systems of Equation with Complex Coefficients

Post by Walter »

gduncan wrote:
Wed Nov 07, 2018 5:15 pm
Is there a way to solve a system of equations on the DM42 with complex coefficients? i.e. A*X=B; where A contains complex numbers of the form a+jb.
Any help would be appreciated.
There's a very nice manual available for the HP-42S which is the mother of Free42 which is the mathematical part of the SW running on the DM42. Just search the web a bit. 8-)
DM42 SN: 00041 β
WP 43S running on this device

HP-35, HP-45, ..., HP-35S, WP 34S, WP 31S, DM16L
grsbanks
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Re: Solve Systems of Equation with Complex Coefficients

Post by grsbanks »

There are only 10 kinds of people in the world: those who understand binary and those who do not.
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