44 Alphabetical Listing
cSolve()
Catalog >
You can also include solution variables that
do not appear in the equations. These
solutions show how families of solutions
might contain arbitrary constants of the
form ck, where k is an integer suffix from 1
through 255.
For polynomial systems, computation time
or memory exhaustion may depend strongly
on the order in which you list solution
variables. If your initial choice exhausts
memory or your patience, try rearranging
the variables in the equations and/or
varOrGuess list.
To see the entire result, press £ and then
use ¡and¢ to move the cursor.
If you do not include any guesses and if any
equation is non-polynomial in any variable
but all equations are linear in all solution
variables, cSolve() uses Gaussian
elimination to attempt to determine all
solutions.
If a system is neither polynomial in all of its
variables nor linear in its solution variables,
cSolve() determines at most one solution
using an approximate iterative method. To
do so, the number of solution variables
must equal the number of equations, and
all other variables in the equations must
simplify to numbers.
A non-real guess is often necessary to
determine a non-real solution. For
convergence, a guess might have to be
rather close to a solution.
To see the entire result, press £ and then
use ¡and¢ to move the cursor.
CubicReg
Catalog >
CubicReg X, Y[, [Freq] [, Category,
Include]]
Computes the cubic polynomial regression
y=a•x
3
+b•x
2
+c•x+d on lists X and Y with
frequency Freq. A summary of results is
stored in the stat.results variable. (See page
172.)
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