Difference between revisions of "Error Messages/41278"

(Created page with '= Example Messsage = Array is not Hermitian in function Decompose. A [http://en.wikipedia.org/wiki/Hermitian_matrix Hermitian] matrix is one thatis equal to its own conj…')
 
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  Array is not Hermitian in function [[Decompose]].  A [http://en.wikipedia.org/wiki/Hermitian_matrix Hermitian] matrix  
 
  Array is not Hermitian in function [[Decompose]].  A [http://en.wikipedia.org/wiki/Hermitian_matrix Hermitian] matrix  
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  is one thatis equal to its own conjugate transpose, i.e., the element  
+
  is one that is equal to its own conjugate transpose, i.e., the element  
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  in the i<sup>th</sup> row and j<sup>th</sup> solumn is equal to the complex conjugate of  
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  in the i<sup>th</sup> row and j<sup>th</sup> column is equal to the complex conjugate of  
 
  the entry in the j<sup>th</sup> and i<sup>th</sup> column.
 
  the entry in the j<sup>th</sup> and i<sup>th</sup> column.
  

Revision as of 22:28, 24 February 2010

Example Messsage

Array is not Hermitian in function Decompose.  A Hermitian matrix 
is one that is equal to its own conjugate transpose, i.e., the element 
in the ith row and jth column is equal to the complex conjugate of 
the entry in the jth and ith column.

Cause

You have passed a matrix to the system function Decompose (or to a user-defined function that uses Decompose, such as Gaussian), that contains at least one complex (non-real) number and that is not Hermitian. Hermitian basically means non-symmetric as it usually applies to matricies containing complex numbers (when a matrix contains all real-valued numbers, the concept of Hermitian is the same as the concept of being symmtrical). The Cholesky decomposition of a matrix can only be obtained for a Hermitian matrix.

See Also

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