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Posted to commits@hama.apache.org by Apache Wiki <wi...@apache.org> on 2010/05/10 07:23:26 UTC
[Hama Wiki] Update of "MatrixNorm" by Edward J. Yoon
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The "MatrixNorm" page has been changed by Edward J. Yoon.
http://wiki.apache.org/hama/MatrixNorm
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New page:
==== Matrix Norm ====
In examples package of Hama, we have introduced !MapReduce-based computing methods for matrix norms.
* Maximum absolute column sum
* The root of sum of the sum of squares
* The maximum absolute row sum
* Largest entry in absolute value
Here's the example one of them. Matrix.Norm.One is that find the maximum absolute row sum of matrix.
{{{
j=n
The maximum absolute row sum = max ( sum | a_{i,j} | )
1<=i<=n j=1
- A map task receives a row n as a key, and vector of each row as its value
- emit (row, the sum of the absolute value of each entries)
- Reduce task select the maximum one
}}}
Matrix.infinity, Matrix.Maxvalue and Matrix.Frobenius are almost same with this.