compute the spectral radius of a square matrix - Maple Help

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Student[NumericalAnalysis][SpectralRadius] - compute the spectral radius of a square matrix

Calling Sequence

SpectralRadius(A)

Parameters

A

-

Matrix; a square matrix

Description

• 

The SpectralRadius command computes the maximum of the absolute values of the eigenvalues of the matrix A.

Notes

• 

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.

Examples

withStudent[NumericalAnalysis]:

A:=Matrix2,1,1,2,2,2,1,1,2

A:=211222112

(1)

b:=Vector1,4,5

b:=145

(2)

T_j:=IterativeFormulaA,b,method=jacobi,output='T'

T_j:=0121210112120

(3)

SpectralRadiusT_j

125

(4)

See Also

LinearAlgebra[Eigenvalues], Student[LinearAlgebra], Student[NumericalAnalysis], Student[NumericalAnalysis][ComputationOverview]


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