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- Newsgroups: comp.lang.c++
- Path: sparky!uunet!destroyer!news.iastate.edu!IASTATE.EDU!kv07
- From: kv07@IASTATE.EDU (Warren Vonroeschlaub)
- Subject: matrices/rational polynomials
- Message-ID: <1992Jul26.123254@IASTATE.EDU>
- Sender: news@news.iastate.edu (USENET News System)
- Reply-To: kv07@IASTATE.EDU (Warren Vonroeschlaub)
- Organization: Ministry of Silly Walks
- Date: Sun, 26 Jul 1992 17:32:54 GMT
- Lines: 22
-
- I am doing some research, and need to find the Null space(*) of a matrix of
- polynomials in 2 variables. Sounds awful, huh? I have tried some of the
- commercial symbolic manipulators (Maple V, Mathematica), but they die on
- matrices bigger than 4x4, and even on a 4x4 matrix they need to be hand fed the
- first few steps.
-
- What I am looking for is code for row-reducing matrices, preferably ones that
- don't do division. If they do division I am also going to need an object for
- handling rational polynomials in two variables (I already have some, albeit
- innefficient, code for handling 2 variable polynomials).
-
- Anybody out there been through this before?
-
- (*) The null space is the set of vectors which, when multiplied with the matrix,
- give the zero vector. In these cases I already know the null space will have
- n-1 elements. Once the matrix is in reduced echelon form the null space is
- obvious.
-
- ***********************************************************************
- * Warren Kurt * "The devil is an optimist if he thinks he can make *
- * vonRoeschlaub * people meaner" -Karl Kraus *
- ***********************************************************************
-