Authors :
Debopam Ghosh
Volume/Issue :
Volume 7 - 2022, Issue 10 - October
Google Scholar :
https://bit.ly/3IIfn9N
Scribd :
https://bit.ly/3Wmfv6Z
DOI :
https://doi.org/10.5281/zenodo.7275302
Abstract :
The Research paper presents a mathematical
framework on strictly rectangular complex matrix
spaces that preserve the Frobenius norm but allow for
possible readjustment of variance contribution per
degrees of freedom as a result of allowed flexibility of the
rank modification and alteration of the Principal axes.
This is achieved through the utilization of Spacer
component matrices and matrices generated from them
and the use of a specific Completely Positive Trace
preserving transformation determined solely based on
the embedding dimension, which is the order of the
embedded square matrix space associated with the
strictly rectangular input matrix space.
The Research paper presents a mathematical
framework on strictly rectangular complex matrix
spaces that preserve the Frobenius norm but allow for
possible readjustment of variance contribution per
degrees of freedom as a result of allowed flexibility of the
rank modification and alteration of the Principal axes.
This is achieved through the utilization of Spacer
component matrices and matrices generated from them
and the use of a specific Completely Positive Trace
preserving transformation determined solely based on
the embedding dimension, which is the order of the
embedded square matrix space associated with the
strictly rectangular input matrix space.
