[ 
https://issues.apache.org/jira/browse/IGNITE-7438?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel
 ]

Anton Dmitriev updated IGNITE-7438:
-----------------------------------
    Description: 
This task consists of two parts:
 * Implementation of the LSQR iterative solver for systems of linear equations.
 * Implementation of the LSQR-based linear regression trainer.

Apache Ignite LSQR iterative solver is based on [SciPy reference 
implementation|[https://github.com/scipy/scipy/blob/master/scipy/sparse/linalg/isolve/lsqr.py#L98]],
 but it's distributed and can efficiently work in cases when a data is 
distributed across a cluster. Distribution is achieved as result of changing 
[Golub-Kahan-Lanczos Bidiagonalization 
Procedure|http://www.netlib.org/utk/people/JackDongarra/etemplates/node198.html]

  was:
This task consists of two parts:
 * Implementation of the LSQR iterative solver for systems of linear equations.
 * Implementation of the LSQR-based linear regression trainer.

Apache Ignite LSQR iterative solver is based on [SciPy reference 
implementation|[https://github.com/scipy/scipy/blob/master/scipy/sparse/linalg/isolve/lsqr.py#L98]|https://github.com/scipy/scipy/blob/master/scipy/sparse/linalg/isolve/lsqr.py#L98].],
 but it's distributed and can efficiently work in cases when a data is 
distributed across a cluster. Distribution is achieved as result of changing bi


> LSQR: Sparse Equations and Least Squares for Lin Regression
> -----------------------------------------------------------
>
>                 Key: IGNITE-7438
>                 URL: https://issues.apache.org/jira/browse/IGNITE-7438
>             Project: Ignite
>          Issue Type: New Feature
>          Components: ml
>            Reporter: Yury Babak
>            Assignee: Anton Dmitriev
>            Priority: Major
>
> This task consists of two parts:
>  * Implementation of the LSQR iterative solver for systems of linear 
> equations.
>  * Implementation of the LSQR-based linear regression trainer.
> Apache Ignite LSQR iterative solver is based on [SciPy reference 
> implementation|[https://github.com/scipy/scipy/blob/master/scipy/sparse/linalg/isolve/lsqr.py#L98]],
>  but it's distributed and can efficiently work in cases when a data is 
> distributed across a cluster. Distribution is achieved as result of changing 
> [Golub-Kahan-Lanczos Bidiagonalization 
> Procedure|http://www.netlib.org/utk/people/JackDongarra/etemplates/node198.html]



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