Make an existing matrix symmetric

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N/A
N/A 2016-10-28
评论： Walter Roberson 2016-10-28
Hi there,
I've have a function where I take a matrix M as an input and return a value based on if it's symmetric or not. I would like to extend this function by altering the input matrix to make it symmetric. How can I make an asymmetric matrix symmetric by altering it?
Thank you

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回答（1 个）

Walter Roberson
Walter Roberson 2016-10-28
(M + M.')/2
This is a useful technical when you have values that are intended to be symmetric but which turn out not to be due to round-off error.
  2 个评论
N/A
N/A 2016-10-28
Thank you. As a solution, what I have done is M + M^T which is always symmetric.
Walter Roberson
Walter Roberson 2016-10-28
Consider that M+M.' will turn the identity matrix into a matrix that has 2 along the main diagonal. It will be symmetric, yes, but you are also changing the values of matrices that start out symmetric.

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