# NAG Library Chapter Contents

## C05 (roots)Roots of One or More Transcendental Equations

C05 (roots) Chapter Introduction – a description of the Chapter and an overview of the algorithms available

 RoutineName Mark ofIntroduction Purpose c05auf Example Text 23 nagf_roots_contfn_brent_interval Zero of continuous function, Brent algorithm, from a given starting value, binary search for interval c05avf Example Text 8 nagf_roots_contfn_interval_rcomm Binary search for interval containing zero of continuous function (reverse communication) c05awf Example Text 23 nagf_roots_contfn_cntin Zero of continuous function, continuation method, from a given starting value c05axf Example Text 8 nagf_roots_contfn_cntin_rcomm Zero of continuous function, continuation method, from a given starting value (reverse communication) c05ayf Example Text 23 nagf_roots_contfn_brent Zero of continuous function in a given interval, Brent algorithm c05azf Example Text 7 nagf_roots_contfn_brent_rcomm Zero of continuous function in a given interval, Brent algorithm (reverse communication) c05baf Example Text Example Data 22 nagf_roots_lambertw_real Real values of Lambert's $W$ function, $W\left(x\right)$ c05bbf Example Text Example Data 23 nagf_roots_lambertw_complex Values of Lambert's $W$ function, $W\left(z\right)$ c05mdf Example Text 26.1 nagf_roots_sys_func_aa_rcomm Solution of a system of nonlinear equations using Anderson acceleration (reverse communication) c05qbf Example Text 23 nagf_roots_sys_func_easy Solution of a system of nonlinear equations using function values only (easy-to-use) c05qcf Example Text 23 nagf_roots_sys_func_expert Solution of a system of nonlinear equations using function values only (comprehensive) c05qdf Example Text 23 nagf_roots_sys_func_rcomm Solution of a system of nonlinear equations using function values only (reverse communication) c05qsf Example Text 23 nagf_roots_sparsys_func_easy Solution of a sparse system of nonlinear equations using function values only (easy-to-use) c05rbf Example Text 23 nagf_roots_sys_deriv_easy Solution of a system of nonlinear equations using first derivatives (easy-to-use) c05rcf Example Text 23 nagf_roots_sys_deriv_expert Solution of a system of nonlinear equations using first derivatives (comprehensive) c05rdf Example Text 23 nagf_roots_sys_deriv_rcomm Solution of a system of nonlinear equations using first derivatives (reverse communication) c05zdf Example Text 23 nagf_roots_sys_deriv_check Check user's routine for calculating first derivatives of a set of nonlinear functions of several variables
© The Numerical Algorithms Group Ltd, Oxford, UK. 2017