The HHL algorithm can be modified to compute the pseudoinverse of $A$ as is shown here and here. Is there anyway to do this in Qiskit without coding the entire thing manually?
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$\begingroup$ The article is behind a paywall. $\endgroup$– Frank YellinDec 2, 2022 at 17:57
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1$\begingroup$ The original HHL publication has it in the discussion section arxiv.org/pdf/0811.3171.pdf $\endgroup$– bonshDec 2, 2022 at 19:29
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I can imagine if You can decompose the matrix there is a way to build the complete thing more efficiently. However, in the end, You have to be able to construct the matrix one way or another.
