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Student[NumericalAnalysis][SpectralRadius] - compute the spectral radius of a square matrix
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Calling Sequence
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SpectralRadius(A)
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Parameters
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A
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Matrix; a square matrix
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Description
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The SpectralRadius command computes the maximum of the absolute values of the eigenvalues of the matrix A.
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Notes
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The output from this procedure will be as symbolic as computationally feasible. If the exact spectral radius of A is too time-consuming to compute, it may be computed numerically.
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Examples
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![with(Student[NumericalAnalysis])](/support/helpjp/helpview.aspx?si=5010/file05108/math56.png)
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![A := Matrix([[2, -1, 1], [2, 2, 2], [-1, -1, 2]])](/support/helpjp/helpview.aspx?si=5010/file05108/math60.png)
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![A := Matrix([[2, -1, 1], [2, 2, 2], [-1, -1, 2]])](/support/helpjp/helpview.aspx?si=5010/file05108/math63.png)
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![b := Vector([-1, 4, -5])](/support/helpjp/helpview.aspx?si=5010/file05108/math67.png)
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](/support/helpjp/helpview.aspx?si=5010/file05108/math70.png)
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![T_j := Matrix([[0, 1/2, -1/2], [-1, 0, -1], [1/2, 1/2, 0]])](/support/helpjp/helpview.aspx?si=5010/file05108/math77.png)
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