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Student[NumericalAnalysis]

  

SpectralRadius

  

compute the spectral radius of a square matrix

 

Calling Sequence

Parameters

Description

Notes

Examples

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]:

AMatrix2,1,1,2,2,2,1,1,2

A:=211222112

(1)

bVector1,4,5

b:=145

(2)

T_jIterativeFormulaA,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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