Positive definite Hankel matrices of minimal condition (Q1399252)
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scientific article; zbMATH DE number 1956807
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive definite Hankel matrices of minimal condition |
scientific article; zbMATH DE number 1956807 |
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Positive definite Hankel matrices of minimal condition (English)
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30 July 2003
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This paper attempts to identify and characterize the positive definite Hankel matrices of minimal spectral condition, which are denoted by \(\hat{H}_n\). The author describes some properties of \(\hat{H}_n\) for general \(n\), and shows that these matrices have a special zero pattern. He also explores an alternative formulation involving Vandermonde matrices. Finally, he computes \(\hat{H}_n\) explicitly for \(n\) even and odd, for small values of \(n\), \(n \leq 16\).
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minimal spectral condition
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condition number
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Vandermonde factorization
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positive definite Hankel matrices
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