calc: Numerical Systems of Equations
11.7.3 Systems of Equations
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The ‘a R’ command can also solve systems of equations. In this case,
the equation should instead be a vector of equations, the guess should
instead be a vector of numbers (intervals are not supported), and the
variable should be a vector of variables. You can omit the brackets
while entering the list of variables. Each equation must be
differentiable by each variable for this mode to work. The result will
be a vector of two vectors: The variable values that solved the system
of equations, and the differences between the sides of the equations
with those variable values. There must be the same number of equations
as variables. Since only plain numbers are allowed as guesses, the
Hyperbolic flag has no effect when solving a system of equations.
It is also possible to minimize over many variables with ‘a N’ (or
maximize with ‘a X’). Once again the variable name should be replaced
by a vector of variables, and the initial guess should be an equal-sized
vector of initial guesses. But, unlike the case of multidimensional ‘a
R’, the formula being minimized should still be a single formula, _not_
a vector. Beware that multidimensional minimization is currently _very_
slow.
Info Catalog
calc: Minimization
calc: Numerical Solutions