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solve Ax=b by singular value decomposition

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Jiapeng
Jiapeng on 16 Nov 2022
Closed: John D'Errico on 16 Nov 2022
After I've got U,S,V by [U,S,V] = svd(A), how do I get x?
Is it x = (V*(S^(-1)*U')*b?
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Steven Lord
Steven Lord on 16 Nov 2022
Is there a particular reason you're using svd rather than simply using the \ operator?
Torsten
Torsten on 16 Nov 2022
Is it x = (V*(S^(-1)*U')*b?
No, only if S has all singular values not equal to 0.
Compare
https://de.mathworks.com/help/matlab/ref/pinv.html
Section
Algorithms
at the bottom of the web page.

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