using SVD to solve systems of linear equation: have to implement direct parameter calibration method

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Sat m 2013-3-10

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can you please tell me how to implement direct parameter calibration method in matlab to show how SVD is used to solve systems of linear equation? i know about SVD but dont know any matlab syntax for direct parameter calibration method.

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Answer 1

Matt J 2013-3-10

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编辑：Matt J 2013-3-10

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Given an n-by-n linear system

A*x=b

and the SVD of A,

[U,S,V]=svd(A,0);

Then one could solve the system as follows

x= V*((U'*b)./diag(S))

However, the easier way would be

x=A\b

so I don't understand why you stipulate that the SVD has to be used. If this isn't what you want, please elaborate and maybe also explain the niche terminology "direct parameter calibration method".

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Sat m 2013-3-10

thank you. it is working. i used x=A/b before but in my assignment, my instructor specifically mentioned to use SVD and to implement direct parallel calibration method'. i do not know what is this direct parallel calibration method and how does it work? or how to implement it

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