Concepts inAn Improved Algorithm for Computing the Singular Value Decomposition
In mathematics, in particular functional analysis, the singular values, or s-numbers of a compact operator T¿: X ¿ Y acting between Hilbert spaces X and Y, are the square roots of the eigenvalues of the nonnegative self-adjoint operator T*T¿: X ¿ X (where T* denotes the adjoint of T). The singular values are nonnegative real numbers, usually listed in decreasing order (s1, s2, ¿). If T is self-adjoint, then the largest singular value s1(T) is equal to the operator norm of T.
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