Evaluation of minors associated to weighing matrices (Q996332)
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scientific article; zbMATH DE number 5190975
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Evaluation of minors associated to weighing matrices |
scientific article; zbMATH DE number 5190975 |
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Evaluation of minors associated to weighing matrices (English)
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14 September 2007
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A weighing matrix \(W=W(n,n-k)\) is a \((0,1,-1)\)-matrix satisfying the equation \(W^TW=WW^T=(n-k) I_n,\) here \(n\) is even and \(k\geq 1\). It is said that this matrix has order \(n\) and weight \((n-k)\). The paper deals with the analytic formulas for minors of weighting matrices. In addition some algorithms to compute \((n-j)\times (n-j)\)-minors of \(W(n,n-k)\) are presented and analyzed by means of considerable experimental data.
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weighing matrices
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determinant calculus
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symbolic computations
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Gaussian elimination
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growth
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complete pivoting
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minors
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algorithms
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