Better check your definitions of SVD -- there are several forms, but all I am aware of (and I wrote a couple of the codes in the early 1970s for the SVD) have positive singular values.
JN On 2023-07-16 02:01, Durga Prasad G me14d059 wrote:
Respected Development Team, This is Durga Prasad reaching out to you regarding an issue/concern related to Singular Value Decomposition SVD in R software package. I am attaching a detailed attachment with this letter which depicts real issues with SVD in R. To reach the concern the expressions for the exponential of a matrix using SVD and projection tensors are obtained from series expansion. However, numerical inconsistency is observed between the exponential of matrix obtained using the function(svd()) used in R software. However, it is observed that most of the researchers fraternity is engaged in utilising R software for their research purposes and to the extent of my understanding such an error in SVD in R software might raise the concern about authenticity of the simulation results produced and published by researchers across the globe. Further, I am very sure that the R software development team is well versed with the happening and they have any specific and resilient reasons for doing so. I would request you kindly, to guide me through the concern. Thank you very much. ______________________________________________ R-devel@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-devel
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