The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics (Classic Reprint) - Softcover

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Excerpt from The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics

In summary, absolute uncertainties in the entries of a general matrix A yield absolute error bounds on its singular values, and error bounds depending on the absolute gap for its singular vectors. In contrast, relative uncertainties in the entries of a bidiagonal matrix B yield relative error bounds on its singular values, and error bounds depending on the relative gap for its singular vectors.

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