fzero

Zero of a scalar function.

📝Syntax

x = fzero(fun, x0)
[x, fval, exitflag, output] = fzero(fun, x0, options)
x = fzero(problem)

📥Input Arguments

Parameter	Description
fun	scalar function.
x0	initial scalar value or two-point bracketing interval.
options	solver options.

📤Output Arguments

Parameter	Description
x	estimated zero.
fval	function value at x.
exitflag	termination indicator.
output	diagnostics.

📄Description

fzero uses a Brent-Dekker bracketing method. If x0 is scalar, Nelson searches a sign-changing interval around it. A problem structure can contain objective, x0 and options fields.

💡Examples

[x, fval] = fzero(@(x) x^2 - 4, [0 5])

🔗See Also

fsolve optimset

Used Functions

optimset

📚Bibliography

T. J. Dekker, "Finding a zero by means of successive linear interpolation", Constructive Aspects of the Fundamental Theorem of Algebra, 1969. R. P. Brent, Algorithms for Minimization Without Derivatives, Prentice-Hall, 1973.

🕔Version History

Version	Description
2.0.0	initial version

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