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Student[NumericalAnalysis][IsConvergent] - determine whether an iterative approximation method converges or not
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Calling Sequence
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IsConvergent(A, meth)
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Parameters
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A
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Matrix; a square  matrix
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meth
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equation; the method in the form method = one of: gaussseidel, jacobi or SOR(numeric)
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Description
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The IsConvergent command determines whether the iterative approximation to the linear system A.x=b, using meth as the approximation method, converges to a unique solution or not, for any initial approximate.
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The IsConvergent command returns true or false depending on whether the method and system converge to a unique solution or not.
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Examples
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![with(Student[NumericalAnalysis])](/support/helpjp/helpview.aspx?si=5005/file05085/math80.png)
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![A := Matrix([[1.3, 1.4, 5.3], [3.4, 7.7, 3.1], [4.3, 7.4, .2]])](/support/helpjp/helpview.aspx?si=5005/file05085/math84.png)
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![A := Matrix([[1.3, 1.4, 5.3], [3.4, 7.7, 3.1], [4.3, 7.4, .2]])](/support/helpjp/helpview.aspx?si=5005/file05085/math87.png)
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![B := Matrix([[1, 0], [0, 1]])](/support/helpjp/helpview.aspx?si=5005/file05085/math105.png)
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![B := Matrix([[1, 0], [0, 1]])](/support/helpjp/helpview.aspx?si=5005/file05085/math108.png)
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