Two applications of the Pattern Matrix Method
نویسنده
چکیده
Pattern matrices are a special construction of matrices from a given function φ with the property that the singular values of the matrices correspond nicely to the Fourier coefficients of φ. Also, the eigenvalues “corresponding” to φ̂(S) have an inverse exponential dependence on the size of S. Hence, if φ has mass only on the high-degree Fourier coefficients, then the corresponding pattern matrix has very small singular values.
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