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intc

Cauchy integral

Syntax

[y  [,err]] = intc(a, b, f [,abserr [,relerr]])

Arguments

a, b

two complex scalars

f

"external" function

abserr, rerr

real scalars, absolute and relative errors. Default values: 1.d-14 and 1d-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 plane.

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)

See also

History

VersionDescription
5.5.0 Absolute and relative (input) and absolute (output) errors management added.

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