| 3610 |
|
|
| 3611 |
def eigenvalues_and_eigenvectors(arg): |
def eigenvalues_and_eigenvectors(arg): |
| 3612 |
""" |
""" |
| 3613 |
returns the eigenvalues of the square matrix arg. |
returns the eigenvalues and eigenvectors of the square matrix arg. |
| 3614 |
|
|
| 3615 |
@param arg: square matrix. Must have rank 2 and the first and second dimension must be equal. |
@param arg: square matrix. Must have rank 2 and the first and second dimension must be equal. |
| 3616 |
arg must be symmetric, ie. transpose(arg)==arg (this is not checked). |
arg must be symmetric, ie. transpose(arg)==arg (this is not checked). |
| 3617 |
@type arg: L{numarray.NumArray}, L{escript.Data}, L{Symbol} |
@type arg: L{escript.Data} |
| 3618 |
@return: the eigenvalues in increasing order. |
@return: the eigenvalues and eigenvectors. The eigenvalues are ordered by increasing value. The |
| 3619 |
@rtype: L{numarray.NumArray},L{escript.Data}, L{Symbol} depending on the input. |
eigenvectors are orthogonal and normalized. If V are the eigenvectors than V[:,i] is |
| 3620 |
@remark: for L{escript.Data} and L{Symbol} objects the dimension is restricted to 3. |
the eigenvector coresponding to the i-th eigenvalue. |
| 3621 |
|
@rtype: L{tuple} of L{escript.Data}. |
| 3622 |
|
@remark: The dimension is restricted to 3. |
| 3623 |
""" |
""" |
| 3624 |
if isinstance(arg,numarray.NumArray): |
if isinstance(arg,numarray.NumArray): |
| 3625 |
raise TypeError,"eigenvalues_and_eigenvectors is not supporting numarray arguments" |
raise TypeError,"eigenvalues_and_eigenvectors is not supporting numarray arguments" |
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