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Linear Algebra and the C Language/a0e1
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SVD: The number of columns is greater to the number of rows
In linear algebra, the singular value decomposition (SVD) is a factorization of a real matrix into a rotation, followed by a rescaling followed by another rotation... Wikipedia: Singular value decomposition
Remark : This work led me to construct the pseudo inverse function even though there are sign problems.
The function:
Random values
Choose your values
Some Properties:
S = U_T A V
A = U S V_T
Pinv = V invS U_T
Pinv_Cn_mR(); ... Compute the right inverse: Ide = B Pinv
U*UT and V*VT
Let us study the contribution of each singular value
c00a.c
Code study
The code
svd_V_Cn_mR(); svd_U_Cn_mR();