linalg[jordan] - compute the Jordan form of a matrix
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Calling Sequence
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jordan(A)
jordan(A, 'P')
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Parameters
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A
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square matrix
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'P'
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(optional) used to return the transition matrix
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Description
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The call jordan(A) computes and returns the Jordan form J of a matrix A.
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J has the following structure: where the ji's are Jordan block matrices. The diagonal entries of these Jordan blocks are the eigenvalues of A (and also of J).
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If the optional second argument is given, then P will be assigned the transformation matrix corresponding to this Jordan form, that is, the matrix P such that .
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The Jordan form is unique up to permutations of the Jordan blocks.
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The command with(linalg,jordan) allows the use of the abbreviated form of this command.
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