Solve a nonlinear equation or a vector of nonlinear equations based on an increasing function in a specified interval.
vecbinsolv(zf, fun, tlo, thi, nits = 30, …)the right hand side of the equation(s) to be solved
an increasing function of a scalar argument, or a vector of such functions
lower limit of interval over which the solution is sought
upper limit of interval over which the solution is sought
number of binary subdivisions carried out
additional arguments to the function fun
If fun is a scalar monotone function, the routine finds a vector
t the same length as zf such that, component-wise,
\(fun(t) = zf\), where this is possible within the interval
\(\code{(tlo,thi)}\). The relevant value returned is the
nearer extreme to the solution if there is no solution in the specified
range for any particular component of zf. The routine will also
work if fun is a vector of monotone functions, allowing different
functions to be considered for different components. The interval over
which the search is conducted has to be the same for each component.
The accuracy of the solution is determined by the number of binary
subdivisions; if nits=30 then the solution(s) will
be accurate to about 9 orders of magnitude less than the length of the
original interval \((tlo, thi)\).