Secant method

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf Numerical method
gptkbp:advantage Faster than bisection method
May not converge
gptkbp:category Root-finding algorithm
gptkbp:compatibleWith Derivative of function
gptkbp:convergence_order Approximately 1.618
gptkbp:convergesTo Superlinear
gptkbp:field Numerical analysis
gptkbp:firstPublished 18th century
gptkbp:form x_{n+1} = x_n - f(x_n) * (x_n - x_{n-1}) / (f(x_n) - f(x_{n-1}))
https://www.w3.org/2000/01/rdf-schema#label Secant method
gptkbp:input Continuous function
gptkbp:namedAfter Secant line
gptkbp:output Approximate root
gptkbp:relatedTo gptkb:Newton's_method
False position method
gptkbp:type Iterative
gptkbp:usedFor Finding roots of equations
gptkbp:uses Two initial approximations
gptkbp:bfsParent gptkb:Newton's_method
gptkbp:bfsLayer 5