Difference between revisions of "ApCoCoA-1:Num.QR"
From ApCoCoAWiki
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<command> | <command> | ||
| − | <title> | + | <title>Num.QR</title> |
<short_description>QR-decomposition of a matrix</short_description> | <short_description>QR-decomposition of a matrix</short_description> | ||
<syntax> | <syntax> | ||
| − | + | Num.QR(A:MAT):[Q:MAT,R:MAT] | |
</syntax> | </syntax> | ||
<description> | <description> | ||
| − | + | <em>Please note:</em> The function(s) explained on this page is/are using the <em>ApCoCoAServer</em>. You will have to start the ApCoCoAServer in order to use it/them. | |
| − | + | <par/> | |
Calculates the QR decomposition of a matrix using Lapack. | Calculates the QR decomposition of a matrix using Lapack. | ||
| Line 33: | Line 33: | ||
<seealso> | <seealso> | ||
<see>Introduction to CoCoAServer</see> | <see>Introduction to CoCoAServer</see> | ||
| − | <see> | + | <see>Num.SVD</see> |
| − | <see> | + | <see>Num.EigenValues</see> |
| − | <see> | + | <see>Num.EigenValuesAndVectors</see> |
| − | <see> | + | <see>Num.EigenValuesAndAllVectors</see> |
</seealso> | </seealso> | ||
<types> | <types> | ||
<type>apcocoaserver</type> | <type>apcocoaserver</type> | ||
| + | <type>matrix</type> | ||
</types> | </types> | ||
<key>num.qr</key> | <key>num.qr</key> | ||
| + | <key>qr</key> | ||
<wiki-category>Package_numerical</wiki-category> | <wiki-category>Package_numerical</wiki-category> | ||
</command> | </command> | ||
Revision as of 16:49, 23 April 2009
Num.QR
QR-decomposition of a matrix
Syntax
Num.QR(A:MAT):[Q:MAT,R:MAT]
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
Calculates the QR decomposition of a matrix using Lapack.
@param A Matrix A
@return An orthogonal matrix Q and an upper-right triangular matrix R such that Q*R=A.
Example
Points:=Mat([[1,2,3],[2,3,4],[3,4,5]]); $numerical.QR(Points); ------------------------------- [Mat([ [-601818814743685/2251799813685248, 11221204152260750623490098342212473544619072342960407833413029/12855504354071922204335696738729300820177623950262342682411008, 47271922480373450167411707109523238704832584221077416524231372166340777774771/115792089237316195423570985008687907853269984665640564039457584007913129639936], [-21682807918593711888147761857797/40564819207303340847894502572032, 50535810838769898760508425874290037828518802391596092889928280803858452207141/231584178474632390847141970017375815706539969331281128078915168015826259279872, -1703150499741573022389535271505216648161852967701209661846360168011288983405834487511405397453/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024], [-16262105938945284629515478500581/20282409603651670423947251286016, -50535810838769832038494686341702987883818294138398199855497298160515307568635/115792089237316195423570985008687907853269984665640564039457584007913129639936, 425787624935393028634420116827871332361842515189763323298971758853897488257161264158457298771/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512] ]), Mat([ [-8425463406411593/2251799813685248, -1504547036859213/281474976710656, -7823644591667907/1125899906842624], [0, 5896596054914343/9007199254740992, 5896596054914343/4503599627370496], [0, 0, 1197/9223372036854775808] ])] -------------------------------
See also
