# NAG FL InterfaceC05 (Roots)Roots of One or More Transcendental Equations

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C05 (Roots) Chapter Introduction – A description of the Chapter and an overview of the algorithms available.

Routine
Mark of
Introduction

Purpose
c05auf 23 nagf_roots_contfn_brent_interval
Zero of continuous function, Brent algorithm, from a given starting value, binary search for interval
c05avf 8 nagf_roots_contfn_interval_rcomm
Binary search for interval containing zero of continuous function (reverse communication)
c05awf 23 nagf_roots_contfn_cntin
Zero of continuous function, continuation method, from a given starting value
c05axf 8 nagf_roots_contfn_cntin_rcomm
Zero of continuous function, continuation method, from a given starting value (reverse communication)
c05ayf 23 nagf_roots_contfn_brent
Zero of continuous function in a given interval, Brent algorithm
c05azf 7 nagf_roots_contfn_brent_rcomm
Zero of continuous function in a given interval, Brent algorithm (reverse communication)
c05baf 22 nagf_roots_lambertw_real
Real values of Lambert's $W$ function, $W\left(x\right)$
c05bbf 23 nagf_roots_lambertw_complex
Values of Lambert's $W$ function, $W\left(z\right)$
c05mbf 27 nagf_roots_sys_func_aa
Solution of a system of nonlinear equations using Anderson acceleration
c05mdf 26.1 nagf_roots_sys_func_aa_rcomm
Solution of a system of nonlinear equations using Anderson acceleration (reverse communication)
c05qbf 23 nagf_roots_sys_func_easy
Solution of a system of nonlinear equations using function values only (easy-to-use)
c05qcf 23 nagf_roots_sys_func_expert
Solution of a system of nonlinear equations using function values only (comprehensive)
c05qdf 23 nagf_roots_sys_func_rcomm
Solution of a system of nonlinear equations using function values only (reverse communication)
c05qsf 23 nagf_roots_sparsys_func_easy
Solution of a sparse system of nonlinear equations using function values only (easy-to-use)
c05rbf 23 nagf_roots_sys_deriv_easy
Solution of a system of nonlinear equations using first derivatives (easy-to-use)
c05rcf 23 nagf_roots_sys_deriv_expert
Solution of a system of nonlinear equations using first derivatives (comprehensive)
c05rdf 23 nagf_roots_sys_deriv_rcomm
Solution of a system of nonlinear equations using first derivatives (reverse communication)
c05zdf 23 nagf_roots_sys_deriv_check
Check user's routine for calculating first derivatives of a set of nonlinear functions of several variables