You are viewing a plain text version of this content. The canonical link for it is here.
Posted to issues@commons.apache.org by "DI COSTANZO (Created) (JIRA)" <ji...@apache.org> on 2011/10/07 16:43:30 UTC
[jira] [Created] (MATH-687) Add the Jacobi polynomials in the class
PolynomialsUtils
Add the Jacobi polynomials in the class PolynomialsUtils
--------------------------------------------------------
Key: MATH-687
URL: https://issues.apache.org/jira/browse/MATH-687
Project: Commons Math
Issue Type: New Feature
Affects Versions: 3.0
Environment: all
Reporter: DI COSTANZO
Priority: Trivial
Jacobi polynomials Pk(vw) are a generalization of the legendre polynomial. Legendre Polynomials are Jacobi polynomials for v = w = 0.
They are orthogonal polynomials and are defined from a recursion formula, giving the n+1 element of the polynomial from the nth element and the (n-1)'s one
Therefore, they could be implemented in the PolynomialsUtils and use the generic frame already used in this class to create and store them.
--
This message is automatically generated by JIRA.
If you think it was sent incorrectly, please contact your JIRA administrators: https://issues.apache.org/jira/secure/ContactAdministrators!default.jspa
For more information on JIRA, see: http://www.atlassian.com/software/jira
[jira] [Resolved] (MATH-687) Add the Jacobi polynomials in the
class PolynomialsUtils
Posted by "Luc Maisonobe (Resolved) (JIRA)" <ji...@apache.org>.
[ https://issues.apache.org/jira/browse/MATH-687?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel ]
Luc Maisonobe resolved MATH-687.
--------------------------------
Resolution: Fixed
Fix Version/s: 3.0
Fixed in subversion repository as of r1180092.
Thanks for the report and the patch.
> Add the Jacobi polynomials in the class PolynomialsUtils
> --------------------------------------------------------
>
> Key: MATH-687
> URL: https://issues.apache.org/jira/browse/MATH-687
> Project: Commons Math
> Issue Type: New Feature
> Affects Versions: 3.0
> Environment: all
> Reporter: DI COSTANZO
> Priority: Trivial
> Fix For: 3.0
>
> Attachments: jacobi.patch
>
>
> Jacobi polynomials Pk(vw) are a generalization of the legendre polynomial. Legendre Polynomials are Jacobi polynomials for v = w = 0.
> They are orthogonal polynomials and are defined from a recursion formula, giving the n+1 element of the polynomial from the nth element and the (n-1)'s one
> Therefore, they could be implemented in the PolynomialsUtils and use the generic frame already used in this class to create and store them.
--
This message is automatically generated by JIRA.
If you think it was sent incorrectly, please contact your JIRA administrators: https://issues.apache.org/jira/secure/ContactAdministrators!default.jspa
For more information on JIRA, see: http://www.atlassian.com/software/jira
[jira] [Updated] (MATH-687) Add the Jacobi polynomials in the class
PolynomialsUtils
Posted by "DI COSTANZO (Updated) (JIRA)" <ji...@apache.org>.
[ https://issues.apache.org/jira/browse/MATH-687?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel ]
DI COSTANZO updated MATH-687:
-----------------------------
Attachment: jacobi.patch
Here is the patch for the Jacobi polynomials. This implementation is using a Map of JacobiKey to store every computed polynomials for a given key value (u,v). The cache process is used and some test have been added in to the PolynomialsUtilsTest class.
> Add the Jacobi polynomials in the class PolynomialsUtils
> --------------------------------------------------------
>
> Key: MATH-687
> URL: https://issues.apache.org/jira/browse/MATH-687
> Project: Commons Math
> Issue Type: New Feature
> Affects Versions: 3.0
> Environment: all
> Reporter: DI COSTANZO
> Priority: Trivial
> Attachments: jacobi.patch
>
>
> Jacobi polynomials Pk(vw) are a generalization of the legendre polynomial. Legendre Polynomials are Jacobi polynomials for v = w = 0.
> They are orthogonal polynomials and are defined from a recursion formula, giving the n+1 element of the polynomial from the nth element and the (n-1)'s one
> Therefore, they could be implemented in the PolynomialsUtils and use the generic frame already used in this class to create and store them.
--
This message is automatically generated by JIRA.
If you think it was sent incorrectly, please contact your JIRA administrators: https://issues.apache.org/jira/secure/ContactAdministrators!default.jspa
For more information on JIRA, see: http://www.atlassian.com/software/jira