Abstract
Singular values are defined as the square root of the eigenvalues of a Hermitian, positive semidefinite matrix S * S for some square matrix S with the entries from the field of complex numbers, which are useful in the theory of unitarily invariant norms and many other modern computational algorithms. For this review paper, data is gathered by investigating numerous existing articles, publications that show the research done by various authors and mathematicians on singular value inequalities and their applications, and how this concept originated. It has been tried best that this paper provides sufficient basic information for the researchers to begin their research in this field.
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