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Understanding Singular Vectors
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James, David; Botteron, Cynthia – College Mathematics Journal, 2013
A certain weighted average of the rows (and columns) of a nonnegative matrix yields a surprisingly simple, heuristical approximation to its singular vectors. There are correspondingly good approximations to the singular values. Such rules of thumb provide an intuitive interpretation of the singular vectors that helps explain why the SVD is so…
Descriptors: Mathematics Instruction, College Mathematics, Mathematical Concepts, Matrices