How to get back to matrix A if I know the value of matrix B where B=AHxA; AH is Complex conjugate transpose of A

Afaz Uddin Ahmed @Afaz_Ahmed

07 July 2017 0 6K Report

If A is a complex matrix

and AH is the complex conjugate transpose

and B= AH*A

How can I extract matrix A if I know matrix B?

For Example

A=3.31622776601684 + 0.00000000000000i 0.421594069427445 - 0.823504559953262i -0.501244140514563 + 1.15592923823370i

AH=3.31622776601684 + 0.00000000000000i

0.421594069427445 + 0.823504559953262i

-0.501244140514563 - 1.15592923823370i

B=10.9973665961010 + 0.00000000000000i 1.39810195902332 - 2.73092868715849i -1.66223973632764 + 3.83332463538129i

1.39810195902332 + 2.73092868715849i 0.855901319640209 + 6.24310444607627e-18i -1.16323455564495 + 0.0745560761535159i

-1.66223973632764 - 3.83332463538129i -1.16323455564495 - 0.0745560761535159i 1.58741809220373 + 1.67097983381069e-17i

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