check whether a matrix is convergent - Maple Help

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Student[NumericalAnalysis][MatrixConvergence] - check whether a matrix is convergent

Calling Sequence

MatrixConvergence(A)

Parameters

A

-

Matrix; a square matrix

Description

• 

The MatrixConvergence command determines whether the square matrix A is convergent, in the sense that limkAki,j=0 for each i,j=1..n, where n is the dimension of A.

• 

A is convergent if and only if the spectral radius of A is strictly less than 1.

Examples

withStudent[NumericalAnalysis]:

A:=Matrix12,14,15,13,12,16,16,17,13

A:=121415131216161713

(1)

MatrixConvergenceA

true

(2)

See Also

Student[LinearAlgebra], Student[NumericalAnalysis], Student[NumericalAnalysis][ComputationOverview], Student[NumericalAnalysis][SpectralRadius], Student[NumericalAnalysis][VectorLimit]


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