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 errors.
Default values:
1.d-13
and1d-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. |
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