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https://issues.apache.org/jira/browse/MATH-765?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13224675#comment-13224675
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Leandro Ariel Pezzente commented on MATH-765:
---------------------------------------------

Since inner product should be implemented , shouldnt a user be able to change a 
matrix representation in a given base ? . Something along the lines of :

RealMatrix changeBase( RealMatrix newBase )

Ohhh .. btw , calculating a Matrix's trace could prove usefull too ...

double trace() or static double trace( RealMatrix m )

                
> Refactoring the vector and matrix classes
> -----------------------------------------
>
>                 Key: MATH-765
>                 URL: https://issues.apache.org/jira/browse/MATH-765
>             Project: Commons Math
>          Issue Type: Improvement
>    Affects Versions: 4.0
>            Reporter: Sébastien Brisard
>              Labels: api-change, linear
>
> {panel:title=Warning|borderStyle=solid}
> This is not a bug report, but rather a summary of all discussions which have 
> taken place on the mailing list regarding the refactoring of the vector and 
> matrix classes. Indeed, it has been argued many times that the {{RealVector}} 
> and {{RealMatrix}} interfaces are really cluttered, and could benefit from 
> other approaches (like functional programming). 
> The description of this ticket will be updated as the discussion progresses 
> on the mailing-list, and new JIRA tickets will be created to carry out the 
> "real" work. In order to keep this ticket tidy, contributors should refrain 
> from commenting on this website. Instead, messages should be posted on the 
> dev mailing-list.
> {panel}
> h1. The current API (version 3.0)
> In this section, the current interfaces for vectors and matrices are 
> compared. Vectors and matrices are two mathematical objects which are very 
> close in nature. Their implementations should therefore be as similar as 
> possible. The methods will be sorted as follows
> * methods reflecting the mathematical structure of vector space: addition, 
> multiplication by a scalar, matrix-vector product, ...
> * methods reflecting the mathematical structure of euclidean space
> * ...
> h2. Methods reflecting the mathematical structure of vector space
> || {{RealVector}}                      || {{RealMatrix}}                      
>                      || Comments ||
> | {{RealVector add(RealVector v)}}     | {{RealMatrix add(RealMatrix m)}}     
>                      |           |
> | {{int getDimension()}}               | {{int getRowDimension()}},\\ {{int 
> getColumnDimension()}} |           |
> | {{RealVector mapMultiply(double d)}} | {{scalarMultiply(double d)}}         
>                      |           |
> |                                      | {{multiply(RealMatrix m)}}           
>                      |           |
> |                                      | {{double[] operate(double[])}}       
>                      |           |
> |                                      | {{RealVector operate(RealVector)}}   
>                      |           |
> |                                      | {{double[] preMultiply(double[])}}   
>                      |           |
> |                                      | {{RealMatrix 
> preMultiply(RealMatrix)}}                    |           |
> |                                      | {{RealVector 
> preMultiply(RealVector)}}                    |           |
> h2. Methods reflecting the mathematical structure of euclidean space

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