The distribution of the maximum condition number on great circles through a fixed \(2\times 2\) real matrix (Q1965285)
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scientific article; zbMATH DE number 1400206
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The distribution of the maximum condition number on great circles through a fixed \(2\times 2\) real matrix |
scientific article; zbMATH DE number 1400206 |
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The distribution of the maximum condition number on great circles through a fixed \(2\times 2\) real matrix (English)
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6 February 2000
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The authors prove that \(P_A(X)\), the probability that the maximum condition number along a great circle passing through a matrix \(A\) in the unit sphere in the space of \(2\times 2\) matrices is less than \(X\), always attains its maximum at the normalized identity matrix.
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maximum condition number
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normalized identity matrix
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