Gradient flows computing the C-numerical range with applications in NMR spectroscopy (Q1864791)
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scientific article; zbMATH DE number 1886662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gradient flows computing the C-numerical range with applications in NMR spectroscopy |
scientific article; zbMATH DE number 1886662 |
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Gradient flows computing the C-numerical range with applications in NMR spectroscopy (English)
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23 March 2003
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Gradient flows on unitary matrices are studied that maximize the real part of the \(C\)-numerical range of an arbitrary complex \(n\times n\) matrix. A discretization scheme of the gradient flow is presented that converges to the set of critical points of the cost function. A special application is discussed in NMR spectroscopy, where matrices \(C\), \(A\) are nilpotent and the \(C\)-numerical range is a circular disk centered at the origin.
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\(C\)-numerical range
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optimization
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gradient flows
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discretization
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NMR spectroscopy
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nilpotent matrices
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