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https://issues.apache.org/jira/browse/MATH-248?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=12675704#action_12675704
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Luc Maisonobe commented on MATH-248:
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You are right. It is probably even worse when compared to DenseRealMatrix which 
should be more cache-friendly than RealMatrixImpl.

It is also possible to walk through non-zero elements of both matrices.

Could you provide a patch for this ?

> Multiplying sparse matrices is slow
> -----------------------------------
>
>                 Key: MATH-248
>                 URL: https://issues.apache.org/jira/browse/MATH-248
>             Project: Commons Math
>          Issue Type: Improvement
>            Reporter: Christian Semrau
>            Priority: Minor
>
> The multiplication of sparse real matrices is very slow compared to real 
> matrices: Ten times as slow for size 200, four times as slow for size 400. 
> The time is independent of the number of nonzero entries, because the general 
> algorithm inherited from AbstractRealMatrix is used. I suggest using a 
> specialized multiplication algorithm for matrices that are "sparse enough", 
> walking only over the nonzero entries in one of the matrices.

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