intc
integral along a straight path in the complex plan
Syntax
[y, err] = intc(a, b, f) [y, err] = intc(a, b, f, abserr) [y, err] = intc(a, b, f, abserr, relerr)
Arguments
- a, b
- two complex numbers: starting and ending points of the integral in the complex plan.
- f
- Identifier of the function to be integrated.
- abserr, relerr
- real scalars: absolute and relative numerical tolerances.
Default values are
1.d-13and1d-8. - err
- real number: estimated absolute error on the result.
Description
If f is a complex-valued function, intc(a, b, f)
computes the integral from a to b of
f(z)dz along the straight line [a b]
of the complex plan.
Examples
function y=f(z) y = z^(3 + %pi * %i); endfunction intc(1+%i, 4-%i, f) [r, err] = intc(1+%i, 4-%i, f, 1d-10, 1d-6)
History
| Version | Description |
| 5.5.0 | Absolute and relative (input) and absolute (output) errors management added. |
| 6.1.0 | The default abserr value becomes 10-13 instead of 10-14. |
| Report an issue | ||
| << int3d | Differential Equations | integrate >> |